{"timestamp": "2026-08-03 23:36:36", "data": {"options": [{"option": "DRAM260807C00030000", "bid": 20.5, "bid_size": 61.0, "ask": 21.9, "ask_size": 59.0, "iv": 2.4474, "open_interest": 28.0, "volume": 4.0, "delta": 0.9982, "gamma": 0.0006, "vega": 0.0003, "theta": -0.0018, "rho": 0.0049, "theo": 21.1376, "change": -1.5, "open": 19.26, "high": 20.32, "low": 19.26, "tick": "down", "last_trade_price": 19.6, "last_trade_time": "2026-08-03T11:25:20", "percent_change": -7.10901, "prev_day_close": 21.1000003814697}, {"option": "DRAM260807P00030000", "bid": 0.0, "bid_size": 0.0, "ask": 0.01, "ask_size": 1.0, "iv": 1.8033, "open_interest": 1108.0, "volume": 238.0, "delta": -0.0019, "gamma": 0.0006, "vega": 0.0003, "theta": -0.0043, "rho": 0.0, "theo": 0.0053, "change": 0.0, "open": 0.02, "high": 0.02, "low": 0.01, "tick": "no_change", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T15:42:43", "percent_change": 2.23517e-06, "prev_day_close": 0.00999999977648258}, {"option": "DRAM260807C00030500", "bid": 20.05, "bid_size": 61.0, "ask": 21.45, "ask_size": 59.0, "iv": 2.5958, "open_interest": 0.0, "volume": 13.0, "delta": 0.9979, "gamma": 0.0007, "vega": 0.0004, "theta": -0.0027, "rho": 0.005, "theo": 20.639, "change": -0.955, "open": 18.68, "high": 19.92, "low": 18.68, "tick": "no_change", "last_trade_price": 19.72, "last_trade_time": "2026-08-03T12:48:38", "percent_change": -4.61911, "prev_day_close": 20.6750001907349}, {"option": "DRAM260807P00030500", "bid": 0.0, "bid_size": 0.0, "ask": 0.02, "ask_size": 1.0, "iv": 1.8755, "open_interest": 146.0, "volume": 400.0, "delta": -0.0022, "gamma": 0.0007, "vega": 0.0004, "theta": -0.0051, "rho": 0.0, "theo": 0.0063, "change": -0.015, "open": 0.02, "high": 0.02, "low": 0.02, "tick": "no_change", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T10:06:44", "percent_change": -42.8571, "prev_day_close": 0.0350000001490116}, {"option": "DRAM260807C00031000", "bid": 19.1, "bid_size": 78.0, "ask": 21.05, "ask_size": 102.0, "iv": 0.0, "open_interest": 0.0, "volume": 19.0, "delta": 0.9974, "gamma": 0.0009, "vega": 0.0004, "theta": -0.0036, "rho": 0.0051, "theo": 20.1405, "change": -0.395, "open": 18.28, "high": 19.73, "low": 18.28, "tick": "up", "last_trade_price": 19.73, "last_trade_time": "2026-08-03T13:50:48", "percent_change": -1.96273, "prev_day_close": 20.125}, {"option": "DRAM260807P00031000", "bid": 0.0, "bid_size": 0.0, "ask": 0.03, "ask_size": 197.0, "iv": 1.903, "open_interest": 250.0, "volume": 27.0, "delta": -0.0027, "gamma": 0.0009, "vega": 0.0004, "theta": -0.006, "rho": 0.0, "theo": 0.0075, "change": -0.02, "open": 0.03, "high": 0.03, "low": 0.01, "tick": "down", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T13:36:40", "percent_change": -66.6667, "prev_day_close": 0.0299999993294477}, {"option": "DRAM260807C00031500", "bid": 19.0, "bid_size": 58.0, "ask": 20.55, "ask_size": 59.0, "iv": 2.5347, "open_interest": 0.0, "volume": 11.0, "delta": 0.997, "gamma": 0.001, "vega": 0.0005, "theta": -0.0047, "rho": 0.0051, "theo": 19.6423, "change": -0.355, "open": 18.92, "high": 19.32, "low": 18.92, "tick": "no_change", "last_trade_price": 19.32, "last_trade_time": "2026-08-03T13:50:48", "percent_change": -1.80432, "prev_day_close": 19.6750001907349}, {"option": "DRAM260807P00031500", "bid": 0.0, "bid_size": 0.0, "ask": 0.01, "ask_size": 1.0, "iv": 1.6493, "open_interest": 8054.0, "volume": 63.0, "delta": -0.0032, "gamma": 0.001, "vega": 0.0005, "theta": -0.007, "rho": 0.0, "theo": 0.0089, "change": -0.035, "open": 0.04, "high": 0.04, "low": 0.01, "tick": "no_change", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T10:58:14", "percent_change": -63.6364, "prev_day_close": 0.0550000006332994}, {"option": "DRAM260807C00032000", "bid": 18.55, "bid_size": 58.0, "ask": 20.15, "ask_size": 82.0, "iv": 2.6666, "open_interest": 10.0, "volume": 3.0, "delta": 0.9964, "gamma": 0.0012, "vega": 0.0006, "theta": -0.006, "rho": 0.0052, "theo": 19.1444, "change": -0.73, "open": 17.28, "high": 18.52, "low": 17.28, "tick": "up", "last_trade_price": 18.52, "last_trade_time": "2026-08-03T12:49:54", "percent_change": -3.79221, "prev_day_close": 19.25}, {"option": "DRAM260807P00032000", "bid": 0.0, "bid_size": 0.0, "ask": 0.01, "ask_size": 1.0, "iv": 1.5995, "open_interest": 176.0, "volume": 38.0, "delta": -0.0037, "gamma": 0.0012, "vega": 0.0006, "theta": -0.0082, "rho": 0.0, "theo": 0.0106, "change": -0.02, "open": 0.04, "high": 0.04, "low": 0.01, "tick": "up", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T13:57:00", "percent_change": -50.0, "prev_day_close": 0.0400000000372529}, {"option": "DRAM260807C00032500", "bid": 18.35, "bid_size": 6.0, "ask": 19.35, "ask_size": 59.0, "iv": 2.5906, "open_interest": 0.0, "volume": 5.0, "delta": 0.9957, "gamma": 0.0014, "vega": 0.0007, "theta": -0.0074, "rho": 0.0053, "theo": 18.6467, "change": -0.02, "open": 16.83, "high": 18.68, "low": 16.83, "tick": "up", "last_trade_price": 18.68, "last_trade_time": "2026-08-03T14:37:37", "percent_change": -0.106951, "prev_day_close": 18.6999998092651}, {"option": "DRAM260807P00032500", "bid": 0.01, "bid_size": 4.0, "ask": 0.03, "ask_size": 1.0, "iv": 1.7974, "open_interest": 192.0, "volume": 1.0, "delta": -0.0044, "gamma": 0.0014, "vega": 0.0007, "theta": -0.0096, "rho": 0.0, "theo": 0.0126, "change": -0.005, "open": 0.05, "high": 0.05, "low": 0.05, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T10:07:11", "percent_change": -9.09091, "prev_day_close": 0.0550000006332994}, {"option": "DRAM260807C00033000", "bid": 17.55, "bid_size": 57.0, "ask": 19.5, "ask_size": 67.0, "iv": 2.86, "open_interest": 0.0, "volume": 7.0, "delta": 0.9949, "gamma": 0.0016, "vega": 0.0008, "theta": -0.0091, "rho": 0.0054, "theo": 18.1494, "change": 0.105, "open": 16.33, "high": 18.28, "low": 16.33, "tick": "up", "last_trade_price": 18.28, "last_trade_time": "2026-08-03T14:37:37", "percent_change": 0.577716, "prev_day_close": 18.1750001907349}, {"option": "DRAM260807P00033000", "bid": 0.01, "bid_size": 3.0, "ask": 0.03, "ask_size": 119.0, "iv": 1.7424, "open_interest": 92.0, "volume": 17.0, "delta": -0.0052, "gamma": 0.0016, "vega": 0.0008, "theta": -0.0112, "rho": 0.0, "theo": 0.0149, "change": -0.04, "open": 0.12, "high": 0.12, "low": 0.02, "tick": "no_change", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T13:24:49", "percent_change": -66.6667, "prev_day_close": 0.0600000005215406}, {"option": "DRAM260807C00033500", "bid": 17.05, "bid_size": 41.0, "ask": 18.45, "ask_size": 71.0, "iv": 2.1732, "open_interest": 0.0, "volume": 3.0, "delta": 0.994, "gamma": 0.0019, "vega": 0.0009, "theta": -0.011, "rho": 0.0054, "theo": 17.6525, "change": -0.605, "open": 15.93, "high": 17.07, "low": 15.93, "tick": "up", "last_trade_price": 17.07, "last_trade_time": "2026-08-03T12:49:05", "percent_change": -3.42291, "prev_day_close": 17.6750001907349}, {"option": "DRAM260807P00033500", "bid": 0.02, "bid_size": 4.0, "ask": 0.04, "ask_size": 114.0, "iv": 1.7762, "open_interest": 111.0, "volume": 48.0, "delta": -0.0061, "gamma": 0.0019, "vega": 0.0009, "theta": -0.013, "rho": 0.0, "theo": 0.0177, "change": -0.045, "open": 0.14, "high": 0.14, "low": 0.03, "tick": "no_change", "last_trade_price": 0.03, "last_trade_time": "2026-08-03T11:54:50", "percent_change": -60.0, "prev_day_close": 0.0750000011175871}, {"option": "DRAM260807C00034000", "bid": 16.3, "bid_size": 64.0, "ask": 17.9, "ask_size": 62.0, "iv": 0.0, "open_interest": 0.0, "volume": 23.0, "delta": 0.9929, "gamma": 0.0022, "vega": 0.0011, "theta": -0.0132, "rho": 0.0055, "theo": 17.1561, "change": -2.35, "open": 14.5, "high": 14.83, "low": 14.5, "tick": "down", "last_trade_price": 14.8, "last_trade_time": "2026-08-03T09:49:21", "percent_change": -13.7026, "prev_day_close": 17.1499996185303}, {"option": "DRAM260807P00034000", "bid": 0.01, "bid_size": 2.0, "ask": 0.05, "ask_size": 1.0, "iv": 1.7203, "open_interest": 112.0, "volume": 15.0, "delta": -0.0072, "gamma": 0.0022, "vega": 0.0011, "theta": -0.0152, "rho": -0.0001, "theo": 0.0209, "change": 0.0, "open": 0.08, "high": 0.08, "low": 0.04, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T09:44:50", "percent_change": -3.35276e-06, "prev_day_close": 0.0500000016763806}, {"option": "DRAM260807C00034500", "bid": 15.95, "bid_size": 95.0, "ask": 17.75, "ask_size": 111.0, "iv": 2.2965, "open_interest": 0.0, "volume": 23.0, "delta": 0.9917, "gamma": 0.0026, "vega": 0.0012, "theta": -0.0156, "rho": 0.0056, "theo": 16.6602, "change": -2.34, "open": 14.08, "high": 14.41, "low": 14.08, "tick": "down", "last_trade_price": 14.36, "last_trade_time": "2026-08-03T09:49:21", "percent_change": -14.012, "prev_day_close": 16.6999998092651}, {"option": "DRAM260807P00034500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 1.0, "iv": 1.6262, "open_interest": 95.0, "volume": 21.0, "delta": -0.0085, "gamma": 0.0026, "vega": 0.0012, "theta": -0.0176, "rho": -0.0001, "theo": 0.0247, "change": -0.04, "open": 0.05, "high": 0.06, "low": 0.03, "tick": "down", "last_trade_price": 0.03, "last_trade_time": "2026-08-03T13:08:44", "percent_change": -57.1429, "prev_day_close": 0.0699999993667006}, {"option": "DRAM260807C00035000", "bid": 15.7, "bid_size": 54.0, "ask": 16.55, "ask_size": 41.0, "iv": 0.0, "open_interest": 20.0, "volume": 0.0, "delta": 0.9902, "gamma": 0.0031, "vega": 0.0014, "theta": -0.0185, "rho": 0.0057, "theo": 16.1651, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.22, "last_trade_time": "2026-07-31T14:13:05", "percent_change": 0.0, "prev_day_close": 16.0749998092651}, {"option": "DRAM260807P00035000", "bid": 0.01, "bid_size": 20.0, "ask": 0.07, "ask_size": 5.0, "iv": 1.675, "open_interest": 1877.0, "volume": 305.0, "delta": -0.0099, "gamma": 0.0031, "vega": 0.0014, "theta": -0.0204, "rho": -0.0001, "theo": 0.0292, "change": -0.075, "open": 0.1, "high": 0.11, "low": 0.03, "tick": "no_change", "last_trade_price": 0.03, "last_trade_time": "2026-08-03T15:55:00", "percent_change": -71.4286, "prev_day_close": 0.105000003241003}, {"option": "DRAM260807C00035500", "bid": 15.1, "bid_size": 21.0, "ask": 16.15, "ask_size": 54.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9885, "gamma": 0.0035, "vega": 0.0016, "theta": -0.0217, "rho": 0.0057, "theo": 15.6706, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.7249994277954}, {"option": "DRAM260807P00035500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 697.0, "iv": 1.6724, "open_interest": 266.0, "volume": 69.0, "delta": -0.0116, "gamma": 0.0035, "vega": 0.0016, "theta": -0.0235, "rho": -0.0001, "theo": 0.0344, "change": -0.035, "open": 0.11, "high": 0.23, "low": 0.04, "tick": "up", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T15:40:14", "percent_change": -41.1765, "prev_day_close": 0.0849999990314245}, {"option": "DRAM260807C00036000", "bid": 14.85, "bid_size": 5.0, "ask": 15.9, "ask_size": 64.0, "iv": 2.1346, "open_interest": 11.0, "volume": 0.0, "delta": 0.9866, "gamma": 0.0041, "vega": 0.0018, "theta": -0.0253, "rho": 0.0058, "theo": 15.1771, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.1, "last_trade_time": "2026-07-31T11:38:42", "percent_change": 0.0, "prev_day_close": 15.2249994277954}, {"option": "DRAM260807P00036000", "bid": 0.03, "bid_size": 143.0, "ask": 0.08, "ask_size": 630.0, "iv": 1.6392, "open_interest": 345.0, "volume": 227.0, "delta": -0.0136, "gamma": 0.0041, "vega": 0.0018, "theta": -0.0271, "rho": -0.0001, "theo": 0.0405, "change": -0.06, "open": 0.08, "high": 0.09, "low": 0.04, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T15:32:45", "percent_change": -54.5455, "prev_day_close": 0.110000001266599}, {"option": "DRAM260807C00036500", "bid": 14.1, "bid_size": 14.0, "ask": 15.45, "ask_size": 64.0, "iv": 1.8499, "open_interest": 0.0, "volume": 0.0, "delta": 0.9843, "gamma": 0.0047, "vega": 0.0021, "theta": -0.0294, "rho": 0.0058, "theo": 14.6845, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.7249999046326}, {"option": "DRAM260807P00036500", "bid": 0.0, "bid_size": 0.0, "ask": 0.07, "ask_size": 156.0, "iv": 1.4818, "open_interest": 63.0, "volume": 190.0, "delta": -0.0158, "gamma": 0.0047, "vega": 0.0021, "theta": -0.0312, "rho": -0.0001, "theo": 0.0476, "change": -0.115, "open": 0.12, "high": 0.2, "low": 0.05, "tick": "no_change", "last_trade_price": 0.07, "last_trade_time": "2026-08-03T14:49:20", "percent_change": -62.1622, "prev_day_close": 0.185000002384186}, {"option": "DRAM260807C00037000", "bid": 13.6, "bid_size": 21.0, "ask": 14.6, "ask_size": 54.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": 0.9817, "gamma": 0.0055, "vega": 0.0024, "theta": -0.0341, "rho": 0.0059, "theo": 14.1932, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.2249999046326}, {"option": "DRAM260807P00037000", "bid": 0.03, "bid_size": 127.0, "ask": 0.1, "ask_size": 182.0, "iv": 1.5674, "open_interest": 538.0, "volume": 235.0, "delta": -0.0184, "gamma": 0.0055, "vega": 0.0024, "theta": -0.0357, "rho": -0.0002, "theo": 0.0559, "change": -0.09, "open": 0.3, "high": 0.3, "low": 0.03, "tick": "up", "last_trade_price": 0.07, "last_trade_time": "2026-08-03T14:28:15", "percent_change": -56.25, "prev_day_close": 0.159999996423721}, {"option": "DRAM260807C00037500", "bid": 13.05, "bid_size": 28.0, "ask": 14.35, "ask_size": 105.0, "iv": 1.5008, "open_interest": 11.0, "volume": 0.0, "delta": 0.9788, "gamma": 0.0063, "vega": 0.0027, "theta": -0.0393, "rho": 0.006, "theo": 13.7032, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.85, "last_trade_time": "2026-07-28T13:57:32", "percent_change": 0.0, "prev_day_close": 13.8000001907349}, {"option": "DRAM260807P00037500", "bid": 0.05, "bid_size": 108.0, "ask": 0.18, "ask_size": 887.0, "iv": 1.6663, "open_interest": 2612.0, "volume": 46.0, "delta": -0.0214, "gamma": 0.0063, "vega": 0.0027, "theta": -0.0409, "rho": -0.0002, "theo": 0.0655, "change": -0.045, "open": 0.19, "high": 0.19, "low": 0.09, "tick": "no_change", "last_trade_price": 0.1, "last_trade_time": "2026-08-03T15:07:53", "percent_change": -31.0345, "prev_day_close": 0.14499999769032}, {"option": "DRAM260807C00038000", "bid": 12.6, "bid_size": 58.0, "ask": 13.9, "ask_size": 60.0, "iv": 1.5981, "open_interest": 1.0, "volume": 2.0, "delta": 0.9753, "gamma": 0.0072, "vega": 0.0031, "theta": -0.0451, "rho": 0.006, "theo": 13.2148, "change": -0.875, "open": 12.8, "high": 12.8, "low": 12.3, "tick": "down", "last_trade_price": 12.3, "last_trade_time": "2026-08-03T11:00:51", "percent_change": -6.64136, "prev_day_close": 13.1749997138977}, {"option": "DRAM260807P00038000", "bid": 0.07, "bid_size": 1.0, "ask": 0.09, "ask_size": 3.0, "iv": 1.506, "open_interest": 1882.0, "volume": 529.0, "delta": -0.0248, "gamma": 0.0072, "vega": 0.0031, "theta": -0.0466, "rho": -0.0002, "theo": 0.0768, "change": -0.135, "open": 0.25, "high": 0.25, "low": 0.08, "tick": "no_change", "last_trade_price": 0.08, "last_trade_time": "2026-08-03T15:50:24", "percent_change": -62.7907, "prev_day_close": 0.215000003576279}, {"option": "DRAM260807C00038500", "bid": 12.1, "bid_size": 11.0, "ask": 13.9, "ask_size": 65.0, "iv": 1.9813, "open_interest": 0.0, "volume": 0.0, "delta": 0.9714, "gamma": 0.0082, "vega": 0.0035, "theta": -0.0516, "rho": 0.0061, "theo": 12.7282, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.75, "last_trade_time": "2026-07-23T15:58:12", "percent_change": 0.0, "prev_day_close": 12.9499998092651}, {"option": "DRAM260807P00038500", "bid": 0.0, "bid_size": 0.0, "ask": 0.22, "ask_size": 1253.0, "iv": 1.5336, "open_interest": 259.0, "volume": 551.0, "delta": -0.0287, "gamma": 0.0082, "vega": 0.0035, "theta": -0.053, "rho": -0.0002, "theo": 0.0898, "change": -0.125, "open": 0.3, "high": 0.3, "low": 0.09, "tick": "down", "last_trade_price": 0.09, "last_trade_time": "2026-08-03T15:40:43", "percent_change": -58.1395, "prev_day_close": 0.214999996125698}, {"option": "DRAM260807C00039000", "bid": 11.4, "bid_size": 59.0, "ask": 12.85, "ask_size": 54.0, "iv": 0.0, "open_interest": 1.0, "volume": 0.0, "delta": 0.967, "gamma": 0.0094, "vega": 0.0039, "theta": -0.0587, "rho": 0.0061, "theo": 12.2436, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.75, "last_trade_time": "2026-07-22T13:21:18", "percent_change": 0.0, "prev_day_close": 12.3249998092651}, {"option": "DRAM260807P00039000", "bid": 0.1, "bid_size": 1.0, "ask": 0.19, "ask_size": 212.0, "iv": 1.5553, "open_interest": 3976.0, "volume": 355.0, "delta": -0.0332, "gamma": 0.0094, "vega": 0.0039, "theta": -0.0602, "rho": -0.0003, "theo": 0.1049, "change": -0.14, "open": 0.3, "high": 0.33, "low": 0.11, "tick": "no_change", "last_trade_price": 0.11, "last_trade_time": "2026-08-03T15:52:59", "percent_change": -56.0, "prev_day_close": 0.250000007450581}, {"option": "DRAM260807C00039500", "bid": 10.9, "bid_size": 54.0, "ask": 12.6, "ask_size": 64.0, "iv": 1.4186, "open_interest": 0.0, "volume": 0.0, "delta": 0.9619, "gamma": 0.0107, "vega": 0.0044, "theta": -0.0666, "rho": 0.0062, "theo": 11.7615, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 11.9000000953674}, {"option": "DRAM260807P00039500", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 777.0, "iv": 1.3915, "open_interest": 10261.0, "volume": 239.0, "delta": -0.0382, "gamma": 0.0107, "vega": 0.0044, "theta": -0.068, "rho": -0.0003, "theo": 0.1224, "change": -0.14, "open": 0.36, "high": 0.36, "low": 0.15, "tick": "no_change", "last_trade_price": 0.15, "last_trade_time": "2026-08-03T14:52:14", "percent_change": -48.2759, "prev_day_close": 0.290000006556511}, {"option": "DRAM260807C00040000", "bid": 10.25, "bid_size": 114.0, "ask": 11.9, "ask_size": 120.0, "iv": 0.0, "open_interest": 23.0, "volume": 40.0, "delta": 0.9561, "gamma": 0.0121, "vega": 0.005, "theta": -0.0754, "rho": 0.0062, "theo": 11.282, "change": 0.1, "open": 9.2, "high": 11.69, "low": 9.2, "tick": "up", "last_trade_price": 11.3, "last_trade_time": "2026-08-03T15:59:07", "percent_change": 0.892859, "prev_day_close": 11.1999998092651}, {"option": "DRAM260807P00040000", "bid": 0.14, "bid_size": 1.0, "ask": 0.16, "ask_size": 84.0, "iv": 1.4444, "open_interest": 19905.0, "volume": 2684.0, "delta": -0.044, "gamma": 0.0121, "vega": 0.005, "theta": -0.0767, "rho": -0.0004, "theo": 0.1425, "change": -0.165, "open": 0.33, "high": 0.42, "low": 0.14, "tick": "up", "last_trade_price": 0.15, "last_trade_time": "2026-08-03T15:57:09", "percent_change": -52.381, "prev_day_close": 0.314999997615814}, {"option": "DRAM260807C00040500", "bid": 10.3, "bid_size": 11.0, "ask": 11.35, "ask_size": 54.0, "iv": 1.448, "open_interest": 1.0, "volume": 0.0, "delta": 0.9496, "gamma": 0.0136, "vega": 0.0056, "theta": -0.0849, "rho": 0.0062, "theo": 10.8056, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.57, "last_trade_time": "2026-07-28T13:14:06", "percent_change": 0.0, "prev_day_close": 10.9499998092651}, {"option": "DRAM260807P00040500", "bid": 0.1, "bid_size": 404.0, "ask": 0.19, "ask_size": 86.0, "iv": 1.3746, "open_interest": 687.0, "volume": 325.0, "delta": -0.0505, "gamma": 0.0137, "vega": 0.0056, "theta": -0.0862, "rho": -0.0004, "theo": 0.1658, "change": -0.105, "open": 0.44, "high": 0.45, "low": 0.17, "tick": "up", "last_trade_price": 0.19, "last_trade_time": "2026-08-03T15:27:42", "percent_change": -35.5932, "prev_day_close": 0.294999994337559}, {"option": "DRAM260807C00041000", "bid": 9.85, "bid_size": 33.0, "ask": 10.8, "ask_size": 54.0, "iv": 1.3858, "open_interest": 9.0, "volume": 0.0, "delta": 0.9422, "gamma": 0.0154, "vega": 0.0062, "theta": -0.0952, "rho": 0.0062, "theo": 10.3327, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.7, "last_trade_time": "2026-07-31T10:54:29", "percent_change": 0.0, "prev_day_close": 10.375}, {"option": "DRAM260807P00041000", "bid": 0.15, "bid_size": 278.0, "ask": 0.2, "ask_size": 10.0, "iv": 1.3691, "open_interest": 807.0, "volume": 467.0, "delta": -0.0579, "gamma": 0.0154, "vega": 0.0062, "theta": -0.0964, "rho": -0.0005, "theo": 0.1925, "change": -0.195, "open": 0.21, "high": 0.55, "low": 0.15, "tick": "no_change", "last_trade_price": 0.2, "last_trade_time": "2026-08-03T15:54:38", "percent_change": -49.3671, "prev_day_close": 0.395000010728836}, {"option": "DRAM260807C00041500", "bid": 9.3, "bid_size": 22.0, "ask": 10.2, "ask_size": 22.0, "iv": 1.1864, "open_interest": 2.0, "volume": 0.0, "delta": 0.934, "gamma": 0.0172, "vega": 0.0069, "theta": -0.1064, "rho": 0.0062, "theo": 9.8637, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 10.25, "last_trade_time": "2026-07-31T10:54:29", "percent_change": 0.0, "prev_day_close": 10.0}, {"option": "DRAM260807P00041500", "bid": 0.21, "bid_size": 84.0, "ask": 0.23, "ask_size": 1.0, "iv": 1.3787, "open_interest": 11192.0, "volume": 346.0, "delta": -0.0662, "gamma": 0.0173, "vega": 0.0069, "theta": -0.1076, "rho": -0.0006, "theo": 0.2232, "change": -0.215, "open": 0.54, "high": 0.55, "low": 0.21, "tick": "down", "last_trade_price": 0.22, "last_trade_time": "2026-08-03T15:59:39", "percent_change": -49.4253, "prev_day_close": 0.434999987483025}, {"option": "DRAM260807C00042000", "bid": 8.8, "bid_size": 71.0, "ask": 9.9, "ask_size": 60.0, "iv": 1.3004, "open_interest": 29.0, "volume": 2.0, "delta": 0.9247, "gamma": 0.0193, "vega": 0.0076, "theta": -0.1184, "rho": 0.0062, "theo": 9.3992, "change": -0.05, "open": 9.79, "high": 9.79, "low": 9.5, "tick": "down", "last_trade_price": 9.5, "last_trade_time": "2026-08-03T14:46:53", "percent_change": -0.523562, "prev_day_close": 9.55000019073486}, {"option": "DRAM260807P00042000", "bid": 0.25, "bid_size": 37.0, "ask": 0.27, "ask_size": 61.0, "iv": 1.3709, "open_interest": 1461.0, "volume": 2003.0, "delta": -0.0755, "gamma": 0.0193, "vega": 0.0076, "theta": -0.1196, "rho": -0.0006, "theo": 0.2584, "change": -0.245, "open": 0.63, "high": 0.7, "low": 0.25, "tick": "down", "last_trade_price": 0.25, "last_trade_time": "2026-08-03T15:54:40", "percent_change": -49.4949, "prev_day_close": 0.49499998986721}, {"option": "DRAM260807C00042500", "bid": 8.25, "bid_size": 62.0, "ask": 10.15, "ask_size": 68.0, "iv": 1.6252, "open_interest": 2.0, "volume": 2.0, "delta": 0.9144, "gamma": 0.0215, "vega": 0.0084, "theta": -0.1312, "rho": 0.0062, "theo": 8.9396, "change": -1.05, "open": 6.95, "high": 8.0, "low": 6.95, "tick": "up", "last_trade_price": 8.0, "last_trade_time": "2026-08-03T13:04:43", "percent_change": -11.6022, "prev_day_close": 9.05000019073486}, {"option": "DRAM260807P00042500", "bid": 0.26, "bid_size": 203.0, "ask": 0.35, "ask_size": 95.0, "iv": 1.3623, "open_interest": 397.0, "volume": 551.0, "delta": -0.0858, "gamma": 0.0215, "vega": 0.0084, "theta": -0.1323, "rho": -0.0007, "theo": 0.2985, "change": -0.275, "open": 0.61, "high": 0.74, "low": 0.28, "tick": "up", "last_trade_price": 0.31, "last_trade_time": "2026-08-03T15:55:43", "percent_change": -47.0085, "prev_day_close": 0.58500000834465}, {"option": "DRAM260807C00043000", "bid": 8.15, "bid_size": 54.0, "ask": 8.9, "ask_size": 54.0, "iv": 1.3826, "open_interest": 28.0, "volume": 1.0, "delta": 0.9028, "gamma": 0.0238, "vega": 0.0092, "theta": -0.1448, "rho": 0.0062, "theo": 8.4857, "change": -2.375, "open": 6.3, "high": 6.3, "low": 6.3, "tick": "down", "last_trade_price": 6.3, "last_trade_time": "2026-08-03T09:45:26", "percent_change": -27.3775, "prev_day_close": 8.67500019073486}, {"option": "DRAM260807P00043000", "bid": 0.32, "bid_size": 128.0, "ask": 0.39, "ask_size": 104.0, "iv": 1.3523, "open_interest": 1673.0, "volume": 1541.0, "delta": -0.0974, "gamma": 0.0238, "vega": 0.0092, "theta": -0.1459, "rho": -0.0008, "theo": 0.3442, "change": -0.29, "open": 0.8, "high": 0.9, "low": 0.3, "tick": "down", "last_trade_price": 0.33, "last_trade_time": "2026-08-03T15:54:08", "percent_change": -46.7742, "prev_day_close": 0.619999974966049}, {"option": "DRAM260807C00043500", "bid": 7.45, "bid_size": 203.0, "ask": 8.65, "ask_size": 188.0, "iv": 1.339, "open_interest": 0.0, "volume": 2.0, "delta": 0.8901, "gamma": 0.0263, "vega": 0.0101, "theta": -0.159, "rho": 0.0062, "theo": 8.038, "change": -0.6, "open": 7.5, "high": 7.75, "low": 7.5, "tick": "up", "last_trade_price": 7.75, "last_trade_time": "2026-08-03T14:39:40", "percent_change": -7.18563, "prev_day_close": 8.35000014305115}, {"option": "DRAM260807P00043500", "bid": 0.39, "bid_size": 1.0, "ask": 0.4, "ask_size": 24.0, "iv": 1.3259, "open_interest": 477.0, "volume": 412.0, "delta": -0.1101, "gamma": 0.0263, "vega": 0.0101, "theta": -0.1601, "rho": -0.0009, "theo": 0.3962, "change": -0.28, "open": 0.88, "high": 1.0, "low": 0.37, "tick": "no_change", "last_trade_price": 0.39, "last_trade_time": "2026-08-03T15:59:22", "percent_change": -41.791, "prev_day_close": 0.669999986886978}, {"option": "DRAM260807C00044000", "bid": 7.25, "bid_size": 133.0, "ask": 8.85, "ask_size": 273.0, "iv": 1.6778, "open_interest": 15.0, "volume": 4.0, "delta": 0.876, "gamma": 0.0289, "vega": 0.011, "theta": -0.1739, "rho": 0.0061, "theo": 7.5972, "change": -0.88, "open": 5.7, "high": 6.87, "low": 5.63, "tick": "up", "last_trade_price": 6.87, "last_trade_time": "2026-08-03T12:36:53", "percent_change": -11.3548, "prev_day_close": 7.75}, {"option": "DRAM260807P00044000", "bid": 0.45, "bid_size": 1.0, "ask": 0.46, "ask_size": 37.0, "iv": 1.3138, "open_interest": 3489.0, "volume": 2218.0, "delta": -0.1242, "gamma": 0.029, "vega": 0.011, "theta": -0.1749, "rho": -0.001, "theo": 0.4551, "change": -0.28, "open": 1.01, "high": 1.13, "low": 0.42, "tick": "no_change", "last_trade_price": 0.45, "last_trade_time": "2026-08-03T15:59:38", "percent_change": -38.3562, "prev_day_close": 0.729999989271164}, {"option": "DRAM260807C00044500", "bid": 6.75, "bid_size": 211.0, "ask": 8.15, "ask_size": 364.0, "iv": 1.5247, "open_interest": 12.0, "volume": 7.0, "delta": 0.8606, "gamma": 0.0317, "vega": 0.0119, "theta": -0.1891, "rho": 0.0061, "theo": 7.1641, "change": -0.735, "open": 5.26, "high": 6.54, "low": 5.26, "tick": "up", "last_trade_price": 6.54, "last_trade_time": "2026-08-03T12:36:53", "percent_change": -10.1031, "prev_day_close": 7.27499985694885}, {"option": "DRAM260807P00044500", "bid": 0.51, "bid_size": 1.0, "ask": 0.53, "ask_size": 18.0, "iv": 1.2955, "open_interest": 378.0, "volume": 805.0, "delta": -0.1397, "gamma": 0.0317, "vega": 0.0119, "theta": -0.1901, "rho": -0.0012, "theo": 0.5217, "change": -0.365, "open": 1.24, "high": 1.24, "low": 0.48, "tick": "no_change", "last_trade_price": 0.51, "last_trade_time": "2026-08-03T15:58:34", "percent_change": -41.7143, "prev_day_close": 0.875}, {"option": "DRAM260807C00045000", "bid": 6.25, "bid_size": 714.0, "ask": 7.9, "ask_size": 719.0, "iv": 1.5329, "open_interest": 184.0, "volume": 124.0, "delta": 0.8437, "gamma": 0.0345, "vega": 0.0128, "theta": -0.2047, "rho": 0.006, "theo": 6.7394, "change": -0.65, "open": 4.2, "high": 6.5, "low": 4.2, "tick": "down", "last_trade_price": 6.35, "last_trade_time": "2026-08-03T13:24:45", "percent_change": -9.28571, "prev_day_close": 7.0}, {"option": "DRAM260807P00045000", "bid": 0.58, "bid_size": 1.0, "ask": 0.6, "ask_size": 42.0, "iv": 1.2836, "open_interest": 6860.0, "volume": 3465.0, "delta": -0.1566, "gamma": 0.0346, "vega": 0.0128, "theta": -0.2057, "rho": -0.0013, "theo": 0.5967, "change": -0.38, "open": 1.27, "high": 1.5, "low": 0.54, "tick": "no_change", "last_trade_price": 0.59, "last_trade_time": "2026-08-03T15:59:49", "percent_change": -39.1753, "prev_day_close": 0.969999998807907}, {"option": "DRAM260807C00045500", "bid": 5.7, "bid_size": 357.0, "ask": 7.0, "ask_size": 438.0, "iv": 1.2958, "open_interest": 32.0, "volume": 25.0, "delta": 0.8253, "gamma": 0.0374, "vega": 0.0138, "theta": -0.2204, "rho": 0.0059, "theo": 6.3239, "change": -0.2, "open": 4.5, "high": 6.45, "low": 4.35, "tick": "up", "last_trade_price": 6.45, "last_trade_time": "2026-08-03T14:26:50", "percent_change": -3.00752, "prev_day_close": 6.64999985694885}, {"option": "DRAM260807P00045500", "bid": 0.66, "bid_size": 1.0, "ask": 0.69, "ask_size": 26.0, "iv": 1.2726, "open_interest": 607.0, "volume": 456.0, "delta": -0.175, "gamma": 0.0375, "vega": 0.0138, "theta": -0.2214, "rho": -0.0014, "theo": 0.6809, "change": -0.415, "open": 1.43, "high": 1.65, "low": 0.64, "tick": "down", "last_trade_price": 0.65, "last_trade_time": "2026-08-03T15:51:03", "percent_change": -38.9671, "prev_day_close": 1.06499999761581}, {"option": "DRAM260807C00046000", "bid": 5.4, "bid_size": 742.0, "ask": 6.65, "ask_size": 821.0, "iv": 1.3366, "open_interest": 536.0, "volume": 26.0, "delta": 0.8054, "gamma": 0.0404, "vega": 0.0148, "theta": -0.2361, "rho": 0.0058, "theo": 5.9184, "change": -0.165, "open": 4.1, "high": 6.0, "low": 3.95, "tick": "up", "last_trade_price": 5.96, "last_trade_time": "2026-08-03T15:58:57", "percent_change": -2.69388, "prev_day_close": 6.125}, {"option": "DRAM260807P00046000", "bid": 0.76, "bid_size": 1.0, "ask": 0.78, "ask_size": 26.0, "iv": 1.2619, "open_interest": 1540.0, "volume": 633.0, "delta": -0.1949, "gamma": 0.0405, "vega": 0.0148, "theta": -0.237, "rho": -0.0016, "theo": 0.7752, "change": -0.44, "open": 1.5, "high": 1.77, "low": 0.7, "tick": "down", "last_trade_price": 0.75, "last_trade_time": "2026-08-03T15:54:22", "percent_change": -36.9748, "prev_day_close": 1.18999999761581}, {"option": "DRAM260807C00046500", "bid": 5.15, "bid_size": 221.0, "ask": 6.0, "ask_size": 272.0, "iv": 1.2869, "open_interest": 129.0, "volume": 0.0, "delta": 0.784, "gamma": 0.0434, "vega": 0.0157, "theta": -0.2514, "rho": 0.0057, "theo": 5.5238, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.0, "last_trade_time": "2026-07-30T12:46:35", "percent_change": 0.0, "prev_day_close": 6.0}, {"option": "DRAM260807P00046500", "bid": 0.86, "bid_size": 1.0, "ask": 0.89, "ask_size": 48.0, "iv": 1.251, "open_interest": 1139.0, "volume": 310.0, "delta": -0.2163, "gamma": 0.0434, "vega": 0.0157, "theta": -0.2524, "rho": -0.0018, "theo": 0.8804, "change": -0.485, "open": 1.94, "high": 1.99, "low": 0.81, "tick": "down", "last_trade_price": 0.84, "last_trade_time": "2026-08-03T15:53:40", "percent_change": -36.6038, "prev_day_close": 1.32499998807907}, {"option": "DRAM260807C00047000", "bid": 4.75, "bid_size": 355.0, "ask": 6.1, "ask_size": 662.0, "iv": 1.4107, "open_interest": 830.0, "volume": 37.0, "delta": 0.7612, "gamma": 0.0463, "vega": 0.0166, "theta": -0.2662, "rho": 0.0056, "theo": 5.141, "change": -0.1, "open": 3.55, "high": 5.15, "low": 3.15, "tick": "up", "last_trade_price": 5.15, "last_trade_time": "2026-08-03T13:50:06", "percent_change": -1.90476, "prev_day_close": 5.25}, {"option": "DRAM260807P00047000", "bid": 0.98, "bid_size": 1.0, "ask": 1.01, "ask_size": 32.0, "iv": 1.2424, "open_interest": 6615.0, "volume": 2713.0, "delta": -0.2393, "gamma": 0.0464, "vega": 0.0166, "theta": -0.2671, "rho": -0.002, "theo": 0.9974, "change": -0.475, "open": 1.93, "high": 2.22, "low": 0.91, "tick": "up", "last_trade_price": 1.0, "last_trade_time": "2026-08-03T15:59:37", "percent_change": -32.2034, "prev_day_close": 1.47500002384186}, {"option": "DRAM260807C00047500", "bid": 4.55, "bid_size": 302.0, "ask": 4.95, "ask_size": 313.0, "iv": 1.2219, "open_interest": 586.0, "volume": 38.0, "delta": 0.7368, "gamma": 0.0491, "vega": 0.0175, "theta": -0.2801, "rho": 0.0054, "theo": 4.7706, "change": -1.15, "open": 3.0, "high": 4.15, "low": 3.0, "tick": "down", "last_trade_price": 3.9, "last_trade_time": "2026-08-03T11:14:02", "percent_change": -22.7723, "prev_day_close": 5.04999995231628}, {"option": "DRAM260807P00047500", "bid": 1.12, "bid_size": 1.0, "ask": 1.14, "ask_size": 21.0, "iv": 1.2355, "open_interest": 395.0, "volume": 1832.0, "delta": -0.2637, "gamma": 0.0492, "vega": 0.0175, "theta": -0.2811, "rho": -0.0021, "theo": 1.1268, "change": -0.52, "open": 2.05, "high": 2.54, "low": 1.04, "tick": "no_change", "last_trade_price": 1.11, "last_trade_time": "2026-08-03T15:57:16", "percent_change": -31.9018, "prev_day_close": 1.62999999523163}, {"option": "DRAM260807C00048000", "bid": 4.15, "bid_size": 409.0, "ask": 4.55, "ask_size": 228.0, "iv": 1.1892, "open_interest": 441.0, "volume": 366.0, "delta": 0.7111, "gamma": 0.0518, "vega": 0.0183, "theta": -0.293, "rho": 0.0052, "theo": 4.4136, "change": -0.32, "open": 3.1, "high": 4.7, "low": 2.59, "tick": "up", "last_trade_price": 4.38, "last_trade_time": "2026-08-03T15:55:52", "percent_change": -6.80851, "prev_day_close": 4.70000004768372}, {"option": "DRAM260807P00048000", "bid": 1.25, "bid_size": 1.0, "ask": 1.29, "ask_size": 10.0, "iv": 1.2297, "open_interest": 1738.0, "volume": 1371.0, "delta": -0.2895, "gamma": 0.052, "vega": 0.0184, "theta": -0.294, "rho": -0.0023, "theo": 1.2697, "change": -0.53, "open": 2.3, "high": 2.82, "low": 1.17, "tick": "down", "last_trade_price": 1.27, "last_trade_time": "2026-08-03T15:59:13", "percent_change": -29.4444, "prev_day_close": 1.80000001192093}, {"option": "DRAM260807C00048500", "bid": 3.95, "bid_size": 34.0, "ask": 4.4, "ask_size": 460.0, "iv": 1.2694, "open_interest": 321.0, "volume": 223.0, "delta": 0.684, "gamma": 0.0544, "vega": 0.0191, "theta": -0.3045, "rho": 0.0051, "theo": 4.0706, "change": -0.15, "open": 2.4, "high": 4.35, "low": 2.34, "tick": "down", "last_trade_price": 4.1, "last_trade_time": "2026-08-03T15:59:16", "percent_change": -3.52941, "prev_day_close": 4.25}, {"option": "DRAM260807P00048500", "bid": 1.41, "bid_size": 1.0, "ask": 1.51, "ask_size": 1.0, "iv": 1.2166, "open_interest": 310.0, "volume": 621.0, "delta": -0.3166, "gamma": 0.0545, "vega": 0.0191, "theta": -0.3055, "rho": -0.0024, "theo": 1.4266, "change": -0.53, "open": 2.79, "high": 3.01, "low": 1.33, "tick": "down", "last_trade_price": 1.45, "last_trade_time": "2026-08-03T15:36:51", "percent_change": -26.7677, "prev_day_close": 1.97999995946884}, {"option": "DRAM260807C00049000", "bid": 3.5, "bid_size": 203.0, "ask": 3.9, "ask_size": 227.0, "iv": 1.1847, "open_interest": 316.0, "volume": 2025.0, "delta": 0.6558, "gamma": 0.0567, "vega": 0.0198, "theta": -0.3145, "rho": 0.0049, "theo": 3.7423, "change": -0.125, "open": 2.65, "high": 4.05, "low": 2.17, "tick": "no_change", "last_trade_price": 3.9, "last_trade_time": "2026-08-03T15:57:48", "percent_change": -3.10559, "prev_day_close": 4.02500009536743}, {"option": "DRAM260807P00049000", "bid": 1.59, "bid_size": 1.0, "ask": 1.62, "ask_size": 1.0, "iv": 1.2121, "open_interest": 568.0, "volume": 635.0, "delta": -0.3449, "gamma": 0.0568, "vega": 0.0198, "theta": -0.3155, "rho": -0.0027, "theo": 1.5983, "change": -0.64, "open": 2.64, "high": 3.25, "low": 1.49, "tick": "down", "last_trade_price": 1.54, "last_trade_time": "2026-08-03T15:59:19", "percent_change": -29.3578, "prev_day_close": 2.17999994754791}, {"option": "DRAM260807C00049500", "bid": 3.25, "bid_size": 144.0, "ask": 3.55, "ask_size": 173.0, "iv": 1.1834, "open_interest": 50.0, "volume": 472.0, "delta": 0.6265, "gamma": 0.0587, "vega": 0.0203, "theta": -0.3226, "rho": 0.0047, "theo": 3.4295, "change": -0.475, "open": 2.66, "high": 3.7, "low": 1.93, "tick": "up", "last_trade_price": 3.15, "last_trade_time": "2026-08-03T15:56:41", "percent_change": -13.1034, "prev_day_close": 3.625}, {"option": "DRAM260807P00049500", "bid": 1.75, "bid_size": 1.0, "ask": 1.81, "ask_size": 1.0, "iv": 1.2052, "open_interest": 1309.0, "volume": 590.0, "delta": -0.3742, "gamma": 0.0588, "vega": 0.0203, "theta": -0.3236, "rho": -0.0028, "theo": 1.7853, "change": -0.585, "open": 3.15, "high": 3.45, "low": 1.67, "tick": "down", "last_trade_price": 1.78, "last_trade_time": "2026-08-03T15:57:01", "percent_change": -24.7357, "prev_day_close": 2.36500000953674}, {"option": "DRAM260807C00050000", "bid": 3.1, "bid_size": 1.0, "ask": 3.15, "ask_size": 1.0, "iv": 1.1867, "open_interest": 11331.0, "volume": 9829.0, "delta": 0.5964, "gamma": 0.0604, "vega": 0.0208, "theta": -0.3287, "rho": 0.0045, "theo": 3.1324, "change": -0.31, "open": 2.21, "high": 3.45, "low": 1.75, "tick": "up", "last_trade_price": 3.14, "last_trade_time": "2026-08-03T15:59:14", "percent_change": -8.98551, "prev_day_close": 3.44999992847443}, {"option": "DRAM260807P00050000", "bid": 1.93, "bid_size": 1.0, "ask": 2.01, "ask_size": 1.0, "iv": 1.1958, "open_interest": 4426.0, "volume": 2625.0, "delta": -0.4045, "gamma": 0.0606, "vega": 0.0208, "theta": -0.3298, "rho": -0.0031, "theo": 1.9884, "change": -0.615, "open": 3.05, "high": 3.85, "low": 1.84, "tick": "up", "last_trade_price": 2.0, "last_trade_time": "2026-08-03T15:59:39", "percent_change": -23.5182, "prev_day_close": 2.61500000953674}, {"option": "DRAM260807C00050500", "bid": 2.82, "bid_size": 1.0, "ask": 2.87, "ask_size": 1.0, "iv": 1.1846, "open_interest": 319.0, "volume": 888.0, "delta": 0.5656, "gamma": 0.0618, "vega": 0.0211, "theta": -0.3327, "rho": 0.0043, "theo": 2.8517, "change": -0.275, "open": 2.43, "high": 3.15, "low": 1.59, "tick": "no_change", "last_trade_price": 2.87, "last_trade_time": "2026-08-03T15:56:49", "percent_change": -8.74404, "prev_day_close": 3.14499998092651}, {"option": "DRAM260807P00050500", "bid": 2.21, "bid_size": 1.0, "ask": 2.32, "ask_size": 1.0, "iv": 1.1913, "open_interest": 676.0, "volume": 397.0, "delta": -0.4354, "gamma": 0.0619, "vega": 0.0211, "theta": -0.3337, "rho": -0.0034, "theo": 2.2076, "change": -0.645, "open": 4.05, "high": 4.2, "low": 2.16, "tick": "no_change", "last_trade_price": 2.21, "last_trade_time": "2026-08-03T15:58:46", "percent_change": -22.5919, "prev_day_close": 2.85500001907349}, {"option": "DRAM260807C00051000", "bid": 2.57, "bid_size": 1.0, "ask": 2.61, "ask_size": 1.0, "iv": 1.1799, "open_interest": 1621.0, "volume": 2359.0, "delta": 0.5343, "gamma": 0.0627, "vega": 0.0213, "theta": -0.3344, "rho": 0.0041, "theo": 2.5875, "change": -0.39, "open": 1.75, "high": 2.83, "low": 1.41, "tick": "down", "last_trade_price": 2.58, "last_trade_time": "2026-08-03T15:59:57", "percent_change": -13.1313, "prev_day_close": 2.97000002861023}, {"option": "DRAM260807P00051000", "bid": 2.45, "bid_size": 1.0, "ask": 2.48, "ask_size": 1.0, "iv": 1.1817, "open_interest": 2283.0, "volume": 614.0, "delta": -0.4667, "gamma": 0.0629, "vega": 0.0213, "theta": -0.3354, "rho": -0.0034, "theo": 2.4436, "change": -0.645, "open": 3.75, "high": 4.65, "low": 2.29, "tick": "up", "last_trade_price": 2.48, "last_trade_time": "2026-08-03T15:55:49", "percent_change": -20.64, "prev_day_close": 3.125}, {"option": "DRAM260807C00051500", "bid": 2.14, "bid_size": 1.0, "ask": 2.36, "ask_size": 1.0, "iv": 1.1702, "open_interest": 3347.0, "volume": 6056.0, "delta": 0.5028, "gamma": 0.0633, "vega": 0.0214, "theta": -0.3338, "rho": 0.0038, "theo": 2.34, "change": -0.285, "open": 1.8, "high": 2.61, "low": 1.3, "tick": "up", "last_trade_price": 2.4, "last_trade_time": "2026-08-03T15:59:07", "percent_change": -10.6145, "prev_day_close": 2.68499994277954}, {"option": "DRAM260807P00051500", "bid": 2.56, "bid_size": 1.0, "ask": 2.76, "ask_size": 1.0, "iv": 1.172, "open_interest": 165.0, "volume": 499.0, "delta": -0.4983, "gamma": 0.0635, "vega": 0.0214, "theta": -0.3348, "rho": -0.0037, "theo": 2.6962, "change": -0.605, "open": 5.0, "high": 5.0, "low": 2.58, "tick": "up", "last_trade_price": 2.72, "last_trade_time": "2026-08-03T15:58:17", "percent_change": -18.1955, "prev_day_close": 3.32499992847443}, {"option": "DRAM260807C00052000", "bid": 2.1, "bid_size": 1.0, "ask": 2.13, "ask_size": 1.0, "iv": 1.1626, "open_interest": 1176.0, "volume": 4395.0, "delta": 0.4713, "gamma": 0.0634, "vega": 0.0214, "theta": -0.3309, "rho": 0.0036, "theo": 2.1091, "change": -0.33, "open": 1.75, "high": 2.36, "low": 1.12, "tick": "up", "last_trade_price": 2.13, "last_trade_time": "2026-08-03T15:59:23", "percent_change": -13.4146, "prev_day_close": 2.46000003814697}, {"option": "DRAM260807P00052000", "bid": 2.84, "bid_size": 1.0, "ask": 3.0, "ask_size": 1.0, "iv": 1.1736, "open_interest": 446.0, "volume": 144.0, "delta": -0.53, "gamma": 0.0636, "vega": 0.0213, "theta": -0.3319, "rho": -0.0038, "theo": 2.9656, "change": -0.745, "open": 4.75, "high": 5.22, "low": 2.77, "tick": "down", "last_trade_price": 2.93, "last_trade_time": "2026-08-03T15:59:19", "percent_change": -20.2721, "prev_day_close": 3.67499995231628}, {"option": "DRAM260807C00052500", "bid": 1.88, "bid_size": 1.0, "ask": 1.91, "ask_size": 1.0, "iv": 1.1618, "open_interest": 556.0, "volume": 566.0, "delta": 0.44, "gamma": 0.0632, "vega": 0.0212, "theta": -0.3258, "rho": 0.0034, "theo": 1.8949, "change": -0.36, "open": 1.42, "high": 2.12, "low": 1.05, "tick": "up", "last_trade_price": 1.92, "last_trade_time": "2026-08-03T15:59:14", "percent_change": -15.7895, "prev_day_close": 2.27999997138977}, {"option": "DRAM260807P00052500", "bid": 3.25, "bid_size": 1.0, "ask": 3.3, "ask_size": 1.0, "iv": 1.1704, "open_interest": 3215.0, "volume": 55.0, "delta": -0.5614, "gamma": 0.0634, "vega": 0.0211, "theta": -0.3268, "rho": -0.004, "theo": 3.2516, "change": -0.525, "open": 5.2, "high": 5.35, "low": 3.15, "tick": "up", "last_trade_price": 3.45, "last_trade_time": "2026-08-03T15:10:32", "percent_change": -13.2075, "prev_day_close": 3.97500002384186}, {"option": "DRAM260807C00053000", "bid": 1.68, "bid_size": 1.0, "ask": 1.72, "ask_size": 1.0, "iv": 1.1562, "open_interest": 3941.0, "volume": 1807.0, "delta": 0.4091, "gamma": 0.0624, "vega": 0.0208, "theta": -0.3186, "rho": 0.0032, "theo": 1.697, "change": -0.365, "open": 1.09, "high": 1.93, "low": 0.9, "tick": "down", "last_trade_price": 1.7, "last_trade_time": "2026-08-03T15:59:33", "percent_change": -17.6755, "prev_day_close": 2.06500005722046}, {"option": "DRAM260807P00053000", "bid": 3.55, "bid_size": 1.0, "ask": 3.6, "ask_size": 1.0, "iv": 1.1648, "open_interest": 1872.0, "volume": 595.0, "delta": -0.5924, "gamma": 0.0627, "vega": 0.0208, "theta": -0.3195, "rho": -0.004, "theo": 3.5541, "change": -0.68, "open": 5.8, "high": 6.0, "low": 3.38, "tick": "no_change", "last_trade_price": 3.57, "last_trade_time": "2026-08-03T15:59:57", "percent_change": -16.0, "prev_day_close": 4.25}, {"option": "DRAM260807C00053500", "bid": 1.5, "bid_size": 1.0, "ask": 1.53, "ask_size": 1.0, "iv": 1.1506, "open_interest": 3028.0, "volume": 3450.0, "delta": 0.3789, "gamma": 0.0614, "vega": 0.0204, "theta": -0.3095, "rho": 0.0029, "theo": 1.515, "change": -0.375, "open": 1.07, "high": 1.7, "low": 0.86, "tick": "down", "last_trade_price": 1.53, "last_trade_time": "2026-08-03T15:55:16", "percent_change": -19.685, "prev_day_close": 1.90499997138977}, {"option": "DRAM260807P00053500", "bid": 3.1, "bid_size": 331.0, "ask": 4.1, "ask_size": 170.0, "iv": 1.0156, "open_interest": 80.0, "volume": 2.0, "delta": -0.6227, "gamma": 0.0616, "vega": 0.0204, "theta": -0.3103, "rho": -0.0043, "theo": 3.8725, "change": -0.075, "open": 5.5, "high": 5.5, "low": 4.45, "tick": "down", "last_trade_price": 4.45, "last_trade_time": "2026-08-03T12:38:54", "percent_change": -1.65746, "prev_day_close": 4.52500009536743}, {"option": "DRAM260807C00054000", "bid": 1.15, "bid_size": 1.0, "ask": 1.36, "ask_size": 1.0, "iv": 1.1478, "open_interest": 1252.0, "volume": 1079.0, "delta": 0.3496, "gamma": 0.0599, "vega": 0.0199, "theta": -0.2986, "rho": 0.0027, "theo": 1.3485, "change": -0.35, "open": 0.91, "high": 1.54, "low": 0.7, "tick": "down", "last_trade_price": 1.36, "last_trade_time": "2026-08-03T15:57:27", "percent_change": -20.4678, "prev_day_close": 1.70999997854233}, {"option": "DRAM260807P00054000", "bid": 3.95, "bid_size": 221.0, "ask": 4.4, "ask_size": 156.0, "iv": 1.1312, "open_interest": 589.0, "volume": 86.0, "delta": -0.6521, "gamma": 0.0601, "vega": 0.0198, "theta": -0.2994, "rho": -0.0042, "theo": 4.2063, "change": -0.8, "open": 6.62, "high": 6.62, "low": 4.15, "tick": "down", "last_trade_price": 4.15, "last_trade_time": "2026-08-03T15:45:03", "percent_change": -16.1616, "prev_day_close": 4.95000004768372}, {"option": "DRAM260807C00054500", "bid": 1.18, "bid_size": 1.0, "ask": 1.21, "ask_size": 1.0, "iv": 1.143, "open_interest": 344.0, "volume": 414.0, "delta": 0.3213, "gamma": 0.0581, "vega": 0.0192, "theta": -0.2863, "rho": 0.0025, "theo": 1.1967, "change": -0.345, "open": 0.7, "high": 1.37, "low": 0.63, "tick": "up", "last_trade_price": 1.21, "last_trade_time": "2026-08-03T15:57:51", "percent_change": -22.1865, "prev_day_close": 1.55500000715256}, {"option": "DRAM260807P00054500", "bid": 4.3, "bid_size": 144.0, "ask": 4.75, "ask_size": 151.0, "iv": 1.1281, "open_interest": 177.0, "volume": 6.0, "delta": -0.6805, "gamma": 0.0583, "vega": 0.0192, "theta": -0.287, "rho": -0.0045, "theo": 4.5552, "change": -0.65, "open": 6.51, "high": 6.51, "low": 4.41, "tick": "up", "last_trade_price": 4.5, "last_trade_time": "2026-08-03T15:48:13", "percent_change": -12.6214, "prev_day_close": 5.15000009536743}, {"option": "DRAM260807C00055000", "bid": 1.04, "bid_size": 1.0, "ask": 1.07, "ask_size": 1.0, "iv": 1.1417, "open_interest": 14206.0, "volume": 6117.0, "delta": 0.2942, "gamma": 0.056, "vega": 0.0185, "theta": -0.2728, "rho": 0.0023, "theo": 1.0592, "change": -0.355, "open": 0.89, "high": 1.24, "low": 0.56, "tick": "no_change", "last_trade_price": 1.05, "last_trade_time": "2026-08-03T15:59:25", "percent_change": -25.2669, "prev_day_close": 1.40500003099442}, {"option": "DRAM260807P00055000", "bid": 4.7, "bid_size": 104.0, "ask": 5.1, "ask_size": 100.0, "iv": 1.1314, "open_interest": 1937.0, "volume": 132.0, "delta": -0.7077, "gamma": 0.0562, "vega": 0.0184, "theta": -0.2734, "rho": -0.0047, "theo": 4.918, "change": -0.675, "open": 7.2, "high": 8.05, "low": 4.7, "tick": "down", "last_trade_price": 4.9, "last_trade_time": "2026-08-03T15:44:08", "percent_change": -12.1076, "prev_day_close": 5.57499980926514}, {"option": "DRAM260807C00055500", "bid": 0.93, "bid_size": 1.0, "ask": 0.94, "ask_size": 4.0, "iv": 1.1392, "open_interest": 1538.0, "volume": 365.0, "delta": 0.2684, "gamma": 0.0537, "vega": 0.0177, "theta": -0.2584, "rho": 0.0021, "theo": 0.9349, "change": -0.345, "open": 0.72, "high": 1.09, "low": 0.51, "tick": "down", "last_trade_price": 0.93, "last_trade_time": "2026-08-03T15:56:34", "percent_change": -27.0588, "prev_day_close": 1.27500003576279}, {"option": "DRAM260807P00055500", "bid": 5.1, "bid_size": 96.0, "ask": 5.5, "ask_size": 131.0, "iv": 1.1422, "open_interest": 76.0, "volume": 10.0, "delta": -0.7336, "gamma": 0.0539, "vega": 0.0176, "theta": -0.2588, "rho": -0.0046, "theo": 5.2945, "change": -0.475, "open": 7.1, "high": 7.46, "low": 5.38, "tick": "up", "last_trade_price": 5.5, "last_trade_time": "2026-08-03T13:44:34", "percent_change": -7.94979, "prev_day_close": 5.97499990463257}, {"option": "DRAM260807C00056000", "bid": 0.81, "bid_size": 1.0, "ask": 0.83, "ask_size": 1.0, "iv": 1.1355, "open_interest": 3397.0, "volume": 1634.0, "delta": 0.244, "gamma": 0.0512, "vega": 0.0168, "theta": -0.2432, "rho": 0.0019, "theo": 0.8232, "change": -0.335, "open": 0.5, "high": 0.98, "low": 0.45, "tick": "down", "last_trade_price": 0.82, "last_trade_time": "2026-08-03T15:58:59", "percent_change": -29.0043, "prev_day_close": 1.15500003099442}, {"option": "DRAM260807P00056000", "bid": 5.5, "bid_size": 109.0, "ask": 6.05, "ask_size": 267.0, "iv": 1.1916, "open_interest": 607.0, "volume": 46.0, "delta": -0.7581, "gamma": 0.0513, "vega": 0.0167, "theta": -0.2436, "rho": -0.0047, "theo": 5.6834, "change": -0.655, "open": 8.11, "high": 8.19, "low": 5.72, "tick": "down", "last_trade_price": 5.72, "last_trade_time": "2026-08-03T15:45:52", "percent_change": -10.2745, "prev_day_close": 6.375}, {"option": "DRAM260807C00056500", "bid": 0.71, "bid_size": 1.0, "ask": 0.72, "ask_size": 1.0, "iv": 1.131, "open_interest": 1599.0, "volume": 932.0, "delta": 0.2211, "gamma": 0.0485, "vega": 0.0159, "theta": -0.2278, "rho": 0.0017, "theo": 0.7232, "change": -0.285, "open": 0.55, "high": 0.85, "low": 0.44, "tick": "no_change", "last_trade_price": 0.75, "last_trade_time": "2026-08-03T15:41:21", "percent_change": -27.5362, "prev_day_close": 1.03499999642372}, {"option": "DRAM260807P00056500", "bid": 5.6, "bid_size": 246.0, "ask": 6.5, "ask_size": 313.0, "iv": 1.1144, "open_interest": 73.0, "volume": 1.0, "delta": -0.7811, "gamma": 0.0486, "vega": 0.0158, "theta": -0.228, "rho": -0.0046, "theo": 6.0841, "change": -0.765, "open": 5.91, "high": 5.91, "low": 5.91, "tick": "down", "last_trade_price": 5.91, "last_trade_time": "2026-08-03T14:02:47", "percent_change": -11.4607, "prev_day_close": 6.67499995231628}, {"option": "DRAM260807C00057000", "bid": 0.62, "bid_size": 1.0, "ask": 0.64, "ask_size": 1.0, "iv": 1.1328, "open_interest": 1008.0, "volume": 3247.0, "delta": 0.1997, "gamma": 0.0457, "vega": 0.015, "theta": -0.2121, "rho": 0.0016, "theo": 0.634, "change": -0.325, "open": 0.52, "high": 0.76, "low": 0.37, "tick": "down", "last_trade_price": 0.62, "last_trade_time": "2026-08-03T15:59:50", "percent_change": -34.3915, "prev_day_close": 0.945000022649765}, {"option": "DRAM260807P00057000", "bid": 6.15, "bid_size": 242.0, "ask": 6.85, "ask_size": 180.0, "iv": 1.1384, "open_interest": 170.0, "volume": 65.0, "delta": -0.8025, "gamma": 0.0458, "vega": 0.0149, "theta": -0.2122, "rho": -0.0048, "theo": 6.4955, "change": -0.675, "open": 9.41, "high": 9.41, "low": 6.47, "tick": "up", "last_trade_price": 6.5, "last_trade_time": "2026-08-03T15:55:52", "percent_change": -9.40767, "prev_day_close": 7.17499995231628}, {"option": "DRAM260807C00057500", "bid": 0.54, "bid_size": 1.0, "ask": 0.55, "ask_size": 1.0, "iv": 1.1281, "open_interest": 665.0, "volume": 292.0, "delta": 0.1798, "gamma": 0.0428, "vega": 0.014, "theta": -0.1966, "rho": 0.0014, "theo": 0.5547, "change": -0.315, "open": 0.4, "high": 0.67, "low": 0.33, "tick": "down", "last_trade_price": 0.55, "last_trade_time": "2026-08-03T15:57:36", "percent_change": -36.4162, "prev_day_close": 0.865000009536743}, {"option": "DRAM260807P00057500", "bid": 6.15, "bid_size": 345.0, "ask": 7.45, "ask_size": 185.0, "iv": 1.047, "open_interest": 198.0, "volume": 17.0, "delta": -0.8225, "gamma": 0.043, "vega": 0.0139, "theta": -0.1965, "rho": -0.0046, "theo": 6.9169, "change": -0.505, "open": 9.33, "high": 9.33, "low": 6.72, "tick": "up", "last_trade_price": 6.97, "last_trade_time": "2026-08-03T15:36:21", "percent_change": -6.75585, "prev_day_close": 7.47499990463257}, {"option": "DRAM260807C00058000", "bid": 0.47, "bid_size": 1.0, "ask": 0.49, "ask_size": 1.0, "iv": 1.1316, "open_interest": 1510.0, "volume": 3359.0, "delta": 0.1615, "gamma": 0.04, "vega": 0.0131, "theta": -0.1813, "rho": 0.0013, "theo": 0.4845, "change": -0.295, "open": 0.35, "high": 0.59, "low": 0.3, "tick": "up", "last_trade_price": 0.49, "last_trade_time": "2026-08-03T15:59:40", "percent_change": -37.5796, "prev_day_close": 0.784999996423721}, {"option": "DRAM260807P00058000", "bid": 6.4, "bid_size": 517.0, "ask": 8.4, "ask_size": 460.0, "iv": 1.175, "open_interest": 499.0, "volume": 59.0, "delta": -0.8408, "gamma": 0.0401, "vega": 0.013, "theta": -0.1811, "rho": -0.0047, "theo": 7.3476, "change": -0.615, "open": 9.59, "high": 9.93, "low": 7.36, "tick": "no_change", "last_trade_price": 7.36, "last_trade_time": "2026-08-03T14:07:35", "percent_change": -7.7116, "prev_day_close": 7.97500014305115}, {"option": "DRAM260807C00058500", "bid": 0.41, "bid_size": 1.0, "ask": 0.42, "ask_size": 1.0, "iv": 1.1293, "open_interest": 613.0, "volume": 399.0, "delta": 0.1447, "gamma": 0.0372, "vega": 0.0122, "theta": -0.1664, "rho": 0.0011, "theo": 0.4225, "change": -0.235, "open": 0.33, "high": 0.51, "low": 0.29, "tick": "up", "last_trade_price": 0.45, "last_trade_time": "2026-08-03T15:53:23", "percent_change": -34.3066, "prev_day_close": 0.685000002384186}, {"option": "DRAM260807P00058500", "bid": 7.5, "bid_size": 110.0, "ask": 8.15, "ask_size": 160.0, "iv": 1.1673, "open_interest": 83.0, "volume": 1.0, "delta": -0.8578, "gamma": 0.0373, "vega": 0.012, "theta": -0.1661, "rho": -0.0047, "theo": 7.7863, "change": 1.67, "open": 10.17, "high": 10.17, "low": 10.17, "tick": "up", "last_trade_price": 10.17, "last_trade_time": "2026-08-03T10:11:45", "percent_change": 19.6471, "prev_day_close": 8.49999976158142}, {"option": "DRAM260807C00059000", "bid": 0.36, "bid_size": 1.0, "ask": 0.37, "ask_size": 1.0, "iv": 1.1337, "open_interest": 3439.0, "volume": 3585.0, "delta": 0.1293, "gamma": 0.0344, "vega": 0.0113, "theta": -0.1522, "rho": 0.001, "theo": 0.3679, "change": -0.255, "open": 0.31, "high": 0.51, "low": 0.23, "tick": "up", "last_trade_price": 0.37, "last_trade_time": "2026-08-03T15:59:51", "percent_change": -40.8, "prev_day_close": 0.625}, {"option": "DRAM260807P00059000", "bid": 7.8, "bid_size": 350.0, "ask": 8.9, "ask_size": 424.0, "iv": 1.2365, "open_interest": 1146.0, "volume": 35.0, "delta": -0.8732, "gamma": 0.0345, "vega": 0.0111, "theta": -0.1518, "rho": -0.0046, "theo": 8.2326, "change": 0.99, "open": 10.68, "high": 11.05, "low": 8.85, "tick": "no_change", "last_trade_price": 9.74, "last_trade_time": "2026-08-03T11:33:03", "percent_change": 11.3143, "prev_day_close": 8.75}, {"option": "DRAM260807C00059500", "bid": 0.31, "bid_size": 1.0, "ask": 0.32, "ask_size": 1.0, "iv": 1.1326, "open_interest": 286.0, "volume": 572.0, "delta": 0.1153, "gamma": 0.0317, "vega": 0.0104, "theta": -0.1386, "rho": 0.0009, "theo": 0.32, "change": -0.295, "open": 0.28, "high": 0.4, "low": 0.19, "tick": "no_change", "last_trade_price": 0.32, "last_trade_time": "2026-08-03T15:35:35", "percent_change": -47.9675, "prev_day_close": 0.615000009536743}, {"option": "DRAM260807P00059500", "bid": 8.05, "bid_size": 217.0, "ask": 9.35, "ask_size": 418.0, "iv": 1.1517, "open_interest": 77.0, "volume": 4.0, "delta": -0.8872, "gamma": 0.0318, "vega": 0.0103, "theta": -0.1381, "rho": -0.0046, "theo": 8.6854, "change": -0.375, "open": 9.67, "high": 9.67, "low": 8.85, "tick": "down", "last_trade_price": 8.85, "last_trade_time": "2026-08-03T13:49:42", "percent_change": -4.06504, "prev_day_close": 9.22499990463257}, {"option": "DRAM260807C00060000", "bid": 0.27, "bid_size": 26.0, "ask": 0.28, "ask_size": 1.0, "iv": 1.1357, "open_interest": 12527.0, "volume": 6810.0, "delta": 0.1026, "gamma": 0.0291, "vega": 0.0096, "theta": -0.1258, "rho": 0.0008, "theo": 0.2781, "change": -0.245, "open": 0.3, "high": 0.36, "low": 0.1, "tick": "down", "last_trade_price": 0.27, "last_trade_time": "2026-08-03T15:59:54", "percent_change": -47.5728, "prev_day_close": 0.514999985694885}, {"option": "DRAM260807P00060000", "bid": 8.85, "bid_size": 160.0, "ask": 9.45, "ask_size": 185.0, "iv": 1.1451, "open_interest": 1774.0, "volume": 569.0, "delta": -0.9, "gamma": 0.0292, "vega": 0.0094, "theta": -0.1252, "rho": -0.0046, "theo": 9.1442, "change": -0.28, "open": 11.65, "high": 12.07, "low": 8.95, "tick": "up", "last_trade_price": 9.37, "last_trade_time": "2026-08-03T14:50:46", "percent_change": -2.90156, "prev_day_close": 9.65000009536743}, {"option": "DRAM260807C00060500", "bid": 0.23, "bid_size": 39.0, "ask": 0.26, "ask_size": 129.0, "iv": 1.1449, "open_interest": 311.0, "volume": 213.0, "delta": 0.0911, "gamma": 0.0266, "vega": 0.0088, "theta": -0.1138, "rho": 0.0007, "theo": 0.2414, "change": -0.185, "open": 0.23, "high": 0.31, "low": 0.18, "tick": "down", "last_trade_price": 0.23, "last_trade_time": "2026-08-03T15:56:52", "percent_change": -44.5783, "prev_day_close": 0.415000006556511}, {"option": "DRAM260807P00060500", "bid": 9.25, "bid_size": 23.0, "ask": 10.15, "ask_size": 28.0, "iv": 1.2401, "open_interest": 25.0, "volume": 0.0, "delta": -0.9115, "gamma": 0.0267, "vega": 0.0086, "theta": -0.1131, "rho": -0.0044, "theo": 9.6085, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 9.67, "last_trade_time": "2026-07-31T10:59:51", "percent_change": 0.0, "prev_day_close": 10.0500001907349}, {"option": "DRAM260807C00061000", "bid": 0.11, "bid_size": 1106.0, "ask": 0.32, "ask_size": 1131.0, "iv": 1.1498, "open_interest": 3492.0, "volume": 235.0, "delta": 0.0808, "gamma": 0.0243, "vega": 0.008, "theta": -0.1026, "rho": 0.0006, "theo": 0.2094, "change": -0.24, "open": 0.3, "high": 0.3, "low": 0.15, "tick": "down", "last_trade_price": 0.17, "last_trade_time": "2026-08-03T15:51:04", "percent_change": -58.5366, "prev_day_close": 0.409999996423721}, {"option": "DRAM260807P00061000", "bid": 9.65, "bid_size": 268.0, "ask": 10.5, "ask_size": 151.0, "iv": 1.1399, "open_interest": 133.0, "volume": 26.0, "delta": -0.9218, "gamma": 0.0244, "vega": 0.0078, "theta": -0.1019, "rho": -0.0042, "theo": 10.0772, "change": -0.575, "open": 12.99, "high": 12.99, "low": 10.05, "tick": "down", "last_trade_price": 10.05, "last_trade_time": "2026-08-03T15:54:40", "percent_change": -5.41176, "prev_day_close": 10.625}, {"option": "DRAM260807C00061500", "bid": 0.11, "bid_size": 555.0, "ask": 0.2, "ask_size": 102.0, "iv": 1.1069, "open_interest": 256.0, "volume": 65.0, "delta": 0.0716, "gamma": 0.0221, "vega": 0.0073, "theta": -0.0923, "rho": 0.0006, "theo": 0.1816, "change": -0.225, "open": 0.3, "high": 0.3, "low": 0.14, "tick": "down", "last_trade_price": 0.18, "last_trade_time": "2026-08-03T15:39:25", "percent_change": -55.5556, "prev_day_close": 0.405000001192093}, {"option": "DRAM260807P00061500", "bid": 10.1, "bid_size": 283.0, "ask": 11.35, "ask_size": 214.0, "iv": 1.3511, "open_interest": 245.0, "volume": 1.0, "delta": -0.9311, "gamma": 0.0222, "vega": 0.007, "theta": -0.0915, "rho": -0.004, "theo": 10.5503, "change": -0.11, "open": 10.69, "high": 10.69, "low": 10.69, "tick": "up", "last_trade_price": 10.69, "last_trade_time": "2026-08-03T15:55:36", "percent_change": -1.01852, "prev_day_close": 10.7999997138977}, {"option": "DRAM260807C00062000", "bid": 0.15, "bid_size": 9.0, "ask": 0.16, "ask_size": 1.0, "iv": 1.1442, "open_interest": 1698.0, "volume": 438.0, "delta": 0.0633, "gamma": 0.02, "vega": 0.0066, "theta": -0.0828, "rho": 0.0005, "theo": 0.1574, "change": -0.175, "open": 0.2, "high": 0.23, "low": 0.1, "tick": "no_change", "last_trade_price": 0.15, "last_trade_time": "2026-08-03T15:56:32", "percent_change": -53.8462, "prev_day_close": 0.325000002980232}, {"option": "DRAM260807P00062000", "bid": 10.5, "bid_size": 141.0, "ask": 11.7, "ask_size": 208.0, "iv": 1.2511, "open_interest": 219.0, "volume": 12.0, "delta": -0.9394, "gamma": 0.0201, "vega": 0.0064, "theta": -0.082, "rho": -0.0042, "theo": 11.027, "change": -0.51, "open": 13.84, "high": 13.84, "low": 11.04, "tick": "down", "last_trade_price": 11.04, "last_trade_time": "2026-08-03T15:11:27", "percent_change": -4.41558, "prev_day_close": 11.5499997138977}, {"option": "DRAM260807C00062500", "bid": 0.12, "bid_size": 106.0, "ask": 0.18, "ask_size": 249.0, "iv": 1.1731, "open_interest": 283.0, "volume": 129.0, "delta": 0.0559, "gamma": 0.0181, "vega": 0.006, "theta": -0.0742, "rho": 0.0004, "theo": 0.1364, "change": -0.16, "open": 0.15, "high": 0.16, "low": 0.12, "tick": "no_change", "last_trade_price": 0.15, "last_trade_time": "2026-08-03T15:51:24", "percent_change": -51.6129, "prev_day_close": 0.310000002384186}, {"option": "DRAM260807P00062500", "bid": 10.85, "bid_size": 199.0, "ask": 12.4, "ask_size": 204.0, "iv": 1.3215, "open_interest": 137.0, "volume": 2.0, "delta": -0.9468, "gamma": 0.0182, "vega": 0.0057, "theta": -0.0732, "rho": -0.0039, "theo": 11.5067, "change": 0.48, "open": 12.33, "high": 12.33, "low": 12.33, "tick": "up", "last_trade_price": 12.33, "last_trade_time": "2026-08-03T12:18:40", "percent_change": 4.05063, "prev_day_close": 11.8499999046326}, {"option": "DRAM260807C00063000", "bid": 0.07, "bid_size": 272.0, "ask": 0.14, "ask_size": 20.0, "iv": 1.1286, "open_interest": 1016.0, "volume": 404.0, "delta": 0.0494, "gamma": 0.0164, "vega": 0.0054, "theta": -0.0663, "rho": 0.0004, "theo": 0.1182, "change": -0.16, "open": 0.1, "high": 0.17, "low": 0.09, "tick": "down", "last_trade_price": 0.11, "last_trade_time": "2026-08-03T15:39:50", "percent_change": -59.2593, "prev_day_close": 0.269999995827675}, {"option": "DRAM260807P00063000", "bid": 11.15, "bid_size": 219.0, "ask": 12.7, "ask_size": 165.0, "iv": 0.9899, "open_interest": 219.0, "volume": 7.0, "delta": -0.9534, "gamma": 0.0165, "vega": 0.0051, "theta": -0.0652, "rho": -0.0037, "theo": 11.9894, "change": -0.58, "open": 13.75, "high": 13.75, "low": 11.87, "tick": "down", "last_trade_price": 11.87, "last_trade_time": "2026-08-03T14:12:53", "percent_change": -4.65864, "prev_day_close": 12.4500002861023}, {"option": "DRAM260807C00063500", "bid": 0.01, "bid_size": 396.0, "ask": 0.2, "ask_size": 772.0, "iv": 1.1625, "open_interest": 947.0, "volume": 15.0, "delta": 0.0436, "gamma": 0.0148, "vega": 0.0049, "theta": -0.0591, "rho": 0.0003, "theo": 0.1024, "change": -0.155, "open": 0.13, "high": 0.13, "low": 0.09, "tick": "down", "last_trade_price": 0.1, "last_trade_time": "2026-08-03T15:54:36", "percent_change": -60.7843, "prev_day_close": 0.254999995231628}, {"option": "DRAM260807P00063500", "bid": 11.95, "bid_size": 581.0, "ask": 13.05, "ask_size": 382.0, "iv": 1.2091, "open_interest": 2804.0, "volume": 2.0, "delta": -0.9592, "gamma": 0.0149, "vega": 0.0047, "theta": -0.058, "rho": -0.0038, "theo": 12.4744, "change": -0.4, "open": 13.25, "high": 13.25, "low": 12.25, "tick": "down", "last_trade_price": 12.25, "last_trade_time": "2026-08-03T14:25:55", "percent_change": -3.16206, "prev_day_close": 12.6500000953674}, {"option": "DRAM260807C00064000", "bid": 0.01, "bid_size": 1114.0, "ask": 0.32, "ask_size": 1572.0, "iv": 1.3044, "open_interest": 463.0, "volume": 131.0, "delta": 0.0384, "gamma": 0.0133, "vega": 0.0044, "theta": -0.0526, "rho": 0.0003, "theo": 0.0887, "change": -0.11, "open": 0.07, "high": 0.2, "low": 0.07, "tick": "no_change", "last_trade_price": 0.09, "last_trade_time": "2026-08-03T15:46:36", "percent_change": -55.0, "prev_day_close": 0.199999999254942}, {"option": "DRAM260807P00064000", "bid": 12.55, "bid_size": 137.0, "ask": 13.65, "ask_size": 175.0, "iv": 1.4033, "open_interest": 172.0, "volume": 11.0, "delta": -0.9644, "gamma": 0.0134, "vega": 0.0041, "theta": -0.0514, "rho": -0.0034, "theo": 12.9616, "change": -0.625, "open": 15.62, "high": 15.65, "low": 12.7, "tick": "down", "last_trade_price": 12.7, "last_trade_time": "2026-08-03T14:01:43", "percent_change": -4.69043, "prev_day_close": 13.3250002861023}, {"option": "DRAM260807C00064500", "bid": 0.04, "bid_size": 3.0, "ask": 0.17, "ask_size": 1059.0, "iv": 1.2291, "open_interest": 1172.0, "volume": 18.0, "delta": 0.0338, "gamma": 0.0119, "vega": 0.004, "theta": -0.0468, "rho": 0.0003, "theo": 0.0769, "change": -0.03, "open": 0.07, "high": 0.18, "low": 0.07, "tick": "down", "last_trade_price": 0.12, "last_trade_time": "2026-08-03T15:49:28", "percent_change": -20.0, "prev_day_close": 0.150000000372529}, {"option": "DRAM260807P00064500", "bid": 12.55, "bid_size": 641.0, "ask": 14.25, "ask_size": 524.0, "iv": 0.9322, "open_interest": 903.0, "volume": 4.0, "delta": -0.969, "gamma": 0.0121, "vega": 0.0036, "theta": -0.0453, "rho": -0.0032, "theo": 13.4506, "change": 0.58, "open": 14.86, "high": 15.01, "low": 14.86, "tick": "down", "last_trade_price": 14.88, "last_trade_time": "2026-08-03T12:04:22", "percent_change": 4.05595, "prev_day_close": 14.2999997138977}, {"option": "DRAM260807C00065000", "bid": 0.07, "bid_size": 23.0, "ask": 0.08, "ask_size": 1.0, "iv": 1.1909, "open_interest": 2869.0, "volume": 288.0, "delta": 0.0298, "gamma": 0.0107, "vega": 0.0036, "theta": -0.0416, "rho": 0.0002, "theo": 0.0667, "change": -0.115, "open": 0.1, "high": 0.15, "low": 0.05, "tick": "down", "last_trade_price": 0.07, "last_trade_time": "2026-08-03T15:58:44", "percent_change": -62.1622, "prev_day_close": 0.185000002384186}, {"option": "DRAM260807P00065000", "bid": 13.55, "bid_size": 315.0, "ask": 14.6, "ask_size": 580.0, "iv": 1.4395, "open_interest": 683.0, "volume": 24.0, "delta": -0.9731, "gamma": 0.0109, "vega": 0.0033, "theta": -0.0401, "rho": -0.0032, "theo": 13.9413, "change": -0.63, "open": 17.0, "high": 17.0, "low": 13.75, "tick": "up", "last_trade_price": 13.77, "last_trade_time": "2026-08-03T14:23:41", "percent_change": -4.375, "prev_day_close": 14.4000000953674}, {"option": "DRAM260807C00065500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 30.0, "iv": 1.1466, "open_interest": 220.0, "volume": 64.0, "delta": 0.0262, "gamma": 0.0096, "vega": 0.0032, "theta": -0.0369, "rho": 0.0002, "theo": 0.0579, "change": -0.04, "open": 0.06, "high": 0.15, "low": 0.05, "tick": "down", "last_trade_price": 0.06, "last_trade_time": "2026-08-03T14:40:09", "percent_change": -40.0, "prev_day_close": 0.0999999986961484}, {"option": "DRAM260807P00065500", "bid": 13.9, "bid_size": 14.0, "ask": 15.4, "ask_size": 78.0, "iv": 1.5796, "open_interest": 57.0, "volume": 0.0, "delta": -0.9768, "gamma": 0.0099, "vega": 0.0029, "theta": -0.0353, "rho": -0.0029, "theo": 14.4332, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.05, "last_trade_time": "2026-07-30T10:48:26", "percent_change": 0.0, "prev_day_close": 14.5499997138977}, {"option": "DRAM260807C00066000", "bid": 0.05, "bid_size": 1.0, "ask": 0.06, "ask_size": 5.0, "iv": 1.1928, "open_interest": 2381.0, "volume": 116.0, "delta": 0.0231, "gamma": 0.0086, "vega": 0.0029, "theta": -0.0328, "rho": 0.0002, "theo": 0.0502, "change": -0.105, "open": 0.04, "high": 0.08, "low": 0.04, "tick": "down", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T15:59:01", "percent_change": -67.7419, "prev_day_close": 0.155000001192093}, {"option": "DRAM260807P00066000", "bid": 14.0, "bid_size": 282.0, "ask": 15.9, "ask_size": 247.0, "iv": 1.2559, "open_interest": 125.0, "volume": 11.0, "delta": -0.9799, "gamma": 0.0089, "vega": 0.0026, "theta": -0.0308, "rho": -0.0028, "theo": 14.9264, "change": 0.785, "open": 17.31, "high": 17.31, "low": 15.81, "tick": "down", "last_trade_price": 16.06, "last_trade_time": "2026-08-03T12:05:54", "percent_change": 5.13912, "prev_day_close": 15.2750000953674}, {"option": "DRAM260807C00066500", "bid": 0.03, "bid_size": 113.0, "ask": 0.06, "ask_size": 1.0, "iv": 1.1863, "open_interest": 444.0, "volume": 22.0, "delta": 0.0204, "gamma": 0.0077, "vega": 0.0026, "theta": -0.029, "rho": 0.0002, "theo": 0.0436, "change": -0.11, "open": 0.05, "high": 0.08, "low": 0.04, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T13:57:06", "percent_change": -68.75, "prev_day_close": 0.160000001080334}, {"option": "DRAM260807P00066500", "bid": 14.5, "bid_size": 317.0, "ask": 16.3, "ask_size": 222.0, "iv": 1.037, "open_interest": 115.0, "volume": 7.0, "delta": -0.9828, "gamma": 0.008, "vega": 0.0022, "theta": -0.0271, "rho": -0.0025, "theo": 15.4209, "change": 0.64, "open": 17.76, "high": 17.78, "low": 16.74, "tick": "down", "last_trade_price": 16.74, "last_trade_time": "2026-08-03T12:09:43", "percent_change": 3.97515, "prev_day_close": 16.1000003814697}, {"option": "DRAM260807C00067000", "bid": 0.0, "bid_size": 0.0, "ask": 0.23, "ask_size": 1572.0, "iv": 1.4106, "open_interest": 290.0, "volume": 2525.0, "delta": 0.0179, "gamma": 0.0069, "vega": 0.0024, "theta": -0.0257, "rho": 0.0001, "theo": 0.0379, "change": -0.075, "open": 0.07, "high": 0.27, "low": 0.02, "tick": "no_change", "last_trade_price": 0.08, "last_trade_time": "2026-08-03T15:55:50", "percent_change": -48.3871, "prev_day_close": 0.154999997466803}, {"option": "DRAM260807P00067000", "bid": 14.55, "bid_size": 69.0, "ask": 16.55, "ask_size": 73.0, "iv": 0.0, "open_interest": 72.0, "volume": 22.0, "delta": -0.9853, "gamma": 0.0071, "vega": 0.002, "theta": -0.0239, "rho": -0.0024, "theo": 15.916, "change": -0.01, "open": 18.47, "high": 18.69, "low": 16.04, "tick": "down", "last_trade_price": 16.04, "last_trade_time": "2026-08-03T14:07:36", "percent_change": -0.0623035, "prev_day_close": 16.0499997138977}, {"option": "DRAM260807C00067500", "bid": 0.01, "bid_size": 141.0, "ask": 0.17, "ask_size": 1084.0, "iv": 1.3825, "open_interest": 143.0, "volume": 9.0, "delta": 0.0158, "gamma": 0.0062, "vega": 0.0021, "theta": -0.0228, "rho": 0.0001, "theo": 0.033, "change": -0.025, "open": 0.04, "high": 0.04, "low": 0.04, "tick": "no_change", "last_trade_price": 0.04, "last_trade_time": "2026-08-03T10:25:37", "percent_change": -38.4615, "prev_day_close": 0.0649999985471368}, {"option": "DRAM260807P00067500", "bid": 15.9, "bid_size": 60.0, "ask": 17.35, "ask_size": 62.0, "iv": 1.687, "open_interest": 56.0, "volume": 6.0, "delta": -0.9875, "gamma": 0.0064, "vega": 0.0017, "theta": -0.0209, "rho": -0.0022, "theo": 16.412, "change": 1.215, "open": 18.76, "high": 18.76, "low": 17.89, "tick": "no_change", "last_trade_price": 17.89, "last_trade_time": "2026-08-03T10:39:15", "percent_change": 7.28636, "prev_day_close": 16.6750001907349}, {"option": "DRAM260807C00068000", "bid": 0.03, "bid_size": 1.0, "ask": 0.04, "ask_size": 49.0, "iv": 1.2266, "open_interest": 2704.0, "volume": 81.0, "delta": 0.0139, "gamma": 0.0055, "vega": 0.0019, "theta": -0.0202, "rho": 0.0001, "theo": 0.0287, "change": -0.035, "open": 0.03, "high": 0.07, "low": 0.03, "tick": "no_change", "last_trade_price": 0.04, "last_trade_time": "2026-08-03T15:46:51", "percent_change": -46.6667, "prev_day_close": 0.0749999983236194}, {"option": "DRAM260807P00068000", "bid": 16.0, "bid_size": 96.0, "ask": 17.55, "ask_size": 54.0, "iv": 0.0, "open_interest": 94.0, "volume": 5.0, "delta": -0.9894, "gamma": 0.0057, "vega": 0.0014, "theta": -0.0183, "rho": -0.0016, "theo": 16.9086, "change": -0.275, "open": 19.37, "high": 19.37, "low": 16.85, "tick": "up", "last_trade_price": 17.1, "last_trade_time": "2026-08-03T15:13:12", "percent_change": -1.58273, "prev_day_close": 17.375}, {"option": "DRAM260807C00068500", "bid": 0.0, "bid_size": 0.0, "ask": 0.04, "ask_size": 11.0, "iv": 1.1669, "open_interest": 231.0, "volume": 54.0, "delta": 0.0123, "gamma": 0.0049, "vega": 0.0017, "theta": -0.0178, "rho": 0.0001, "theo": 0.025, "change": -0.015, "open": 0.03, "high": 0.04, "low": 0.02, "tick": "up", "last_trade_price": 0.04, "last_trade_time": "2026-08-03T14:53:50", "percent_change": -27.2727, "prev_day_close": 0.0549999997019768}, {"option": "DRAM260807P00068500", "bid": 16.8, "bid_size": 78.0, "ask": 18.25, "ask_size": 113.0, "iv": 1.5867, "open_interest": 52.0, "volume": 1.0, "delta": -0.9911, "gamma": 0.005, "vega": 0.0012, "theta": -0.0163, "rho": -0.0016, "theo": 17.4059, "change": 1.25, "open": 18.8, "high": 18.8, "low": 18.8, "tick": "up", "last_trade_price": 18.8, "last_trade_time": "2026-08-03T11:51:03", "percent_change": 7.12251, "prev_day_close": 17.5500001907349}, {"option": "DRAM260807C00069000", "bid": 0.02, "bid_size": 58.0, "ask": 0.04, "ask_size": 330.0, "iv": 1.2539, "open_interest": 329.0, "volume": 6.0, "delta": 0.0108, "gamma": 0.0044, "vega": 0.0015, "theta": -0.0158, "rho": 0.0001, "theo": 0.0218, "change": -0.07, "open": 0.05, "high": 0.07, "low": 0.01, "tick": "no_change", "last_trade_price": 0.03, "last_trade_time": "2026-08-03T11:09:14", "percent_change": -70.0, "prev_day_close": 0.100000001490116}, {"option": "DRAM260807P00069000", "bid": 17.2, "bid_size": 347.0, "ask": 18.8, "ask_size": 350.0, "iv": 1.5649, "open_interest": 121.0, "volume": 1.0, "delta": -0.9926, "gamma": 0.0044, "vega": 0.0011, "theta": -0.0145, "rho": -0.0014, "theo": 17.9036, "change": 2.4, "open": 20.35, "high": 20.35, "low": 20.35, "tick": "down", "last_trade_price": 20.35, "last_trade_time": "2026-08-03T10:15:52", "percent_change": 13.3705, "prev_day_close": 17.9500007629395}, {"option": "DRAM260807C00069500", "bid": 0.0, "bid_size": 0.0, "ask": 0.04, "ask_size": 133.0, "iv": 1.2166, "open_interest": 149.0, "volume": 4.0, "delta": 0.0095, "gamma": 0.0039, "vega": 0.0014, "theta": -0.014, "rho": 0.0001, "theo": 0.019, "change": -0.075, "open": 0.04, "high": 0.04, "low": 0.01, "tick": "down", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T10:54:21", "percent_change": -88.2353, "prev_day_close": 0.0850000008940697}, {"option": "DRAM260807P00069500", "bid": 17.85, "bid_size": 57.0, "ask": 19.3, "ask_size": 61.0, "iv": 1.7407, "open_interest": 51.0, "volume": 2.0, "delta": -0.9938, "gamma": 0.0039, "vega": 0.0009, "theta": -0.0129, "rho": -0.0015, "theo": 18.4017, "change": 1.325, "open": 20.24, "high": 20.24, "low": 20.1, "tick": "down", "last_trade_price": 20.1, "last_trade_time": "2026-08-03T10:27:47", "percent_change": 7.05726, "prev_day_close": 18.7749996185303}, {"option": "DRAM260807C00070000", "bid": 0.02, "bid_size": 7.0, "ask": 0.05, "ask_size": 275.0, "iv": 1.3315, "open_interest": 3315.0, "volume": 334.0, "delta": 0.0084, "gamma": 0.0035, "vega": 0.0012, "theta": -0.0124, "rho": 0.0001, "theo": 0.0166, "change": -0.055, "open": 0.03, "high": 0.05, "low": 0.01, "tick": "no_change", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T15:48:56", "percent_change": -73.3333, "prev_day_close": 0.0750000011175871}, {"option": "DRAM260807P00070000", "bid": 18.5, "bid_size": 45.0, "ask": 19.6, "ask_size": 57.0, "iv": 1.728, "open_interest": 56.0, "volume": 7.0, "delta": -0.9949, "gamma": 0.0034, "vega": 0.0006, "theta": -0.0116, "rho": -0.0009, "theo": 18.9003, "change": -0.015, "open": 21.45, "high": 21.45, "low": 18.96, "tick": "down", "last_trade_price": 18.96, "last_trade_time": "2026-08-03T14:15:06", "percent_change": -0.0790534, "prev_day_close": 18.9750003814697}, {"option": "DRAM260807C00070500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 329.0, "iv": 1.3001, "open_interest": 150.0, "volume": 0.0, "delta": 0.0074, "gamma": 0.0031, "vega": 0.0011, "theta": -0.011, "rho": 0.0001, "theo": 0.0145, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.2, "last_trade_time": "2026-07-31T09:30:01", "percent_change": 0.0, "prev_day_close": 0.150000005960464}, {"option": "DRAM260807P00070500", "bid": 18.8, "bid_size": 16.0, "ask": 20.1, "ask_size": 51.0, "iv": 1.5175, "open_interest": 47.0, "volume": 0.0, "delta": -0.9958, "gamma": 0.0029, "vega": 0.0006, "theta": -0.0107, "rho": -0.0009, "theo": 19.3991, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.59, "last_trade_time": "2026-07-16T10:55:13", "percent_change": 0.0, "prev_day_close": 19.4499998092651}, {"option": "DRAM260807C00071000", "bid": 0.0, "bid_size": 0.0, "ask": 0.23, "ask_size": 2662.0, "iv": 1.649, "open_interest": 140.0, "volume": 1.0, "delta": 0.0066, "gamma": 0.0028, "vega": 0.001, "theta": -0.0097, "rho": 0.0, "theo": 0.0127, "change": -0.055, "open": 0.01, "high": 0.01, "low": 0.01, "tick": "down", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T15:04:37", "percent_change": -84.6154, "prev_day_close": 0.0649999976158142}, {"option": "DRAM260807P00071000", "bid": 18.7, "bid_size": 65.0, "ask": 20.6, "ask_size": 106.0, "iv": 0.0, "open_interest": 32.0, "volume": 0.0, "delta": -0.9966, "gamma": 0.0024, "vega": 0.0005, "theta": -0.0098, "rho": -0.0008, "theo": 19.8982, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 18.81, "last_trade_time": "2026-07-27T15:33:45", "percent_change": 0.0, "prev_day_close": 20.0250005722046}, {"option": "DRAM260807C00071500", "bid": 0.0, "bid_size": 0.0, "ask": 0.03, "ask_size": 72.0, "iv": 1.2705, "open_interest": 129.0, "volume": 0.0, "delta": 0.0058, "gamma": 0.0025, "vega": 0.0009, "theta": -0.0086, "rho": 0.0, "theo": 0.0111, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.07, "last_trade_time": "2026-07-31T12:58:15", "percent_change": 0.0, "prev_day_close": 0.0750000001862645}, {"option": "DRAM260807P00071500", "bid": 19.1, "bid_size": 54.0, "ask": 21.15, "ask_size": 93.0, "iv": 0.0, "open_interest": 9.0, "volume": 7.0, "delta": -0.9972, "gamma": 0.0021, "vega": 0.0004, "theta": -0.0091, "rho": -0.0008, "theo": 20.3974, "change": 0.225, "open": 22.76, "high": 22.76, "low": 20.69, "tick": "up", "last_trade_price": 20.7, "last_trade_time": "2026-08-03T15:23:22", "percent_change": 1.0989, "prev_day_close": 20.4749994277954}, {"option": "DRAM260807C00072000", "bid": 0.01, "bid_size": 1.0, "ask": 0.03, "ask_size": 1.0, "iv": 1.3367, "open_interest": 7058.0, "volume": 29.0, "delta": 0.0051, "gamma": 0.0022, "vega": 0.0008, "theta": -0.0076, "rho": 0.0, "theo": 0.0098, "change": -0.045, "open": 0.02, "high": 0.03, "low": 0.01, "tick": "no_change", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T15:03:08", "percent_change": -81.8182, "prev_day_close": 0.0550000015646219}, {"option": "DRAM260807P00072000", "bid": 20.45, "bid_size": 54.0, "ask": 21.55, "ask_size": 54.0, "iv": 1.7412, "open_interest": 75.0, "volume": 6.0, "delta": -0.9978, "gamma": 0.0018, "vega": 0.0003, "theta": -0.0085, "rho": -0.0004, "theo": 20.8968, "change": 0.185, "open": 20.96, "high": 21.12, "low": 20.96, "tick": "no_change", "last_trade_price": 21.11, "last_trade_time": "2026-08-03T15:23:22", "percent_change": 0.884109, "prev_day_close": 20.9250001907349}, {"option": "DRAM260807C00072500", "bid": 0.0, "bid_size": 0.0, "ask": 0.07, "ask_size": 988.0, "iv": 1.4568, "open_interest": 4746.0, "volume": 2.0, "delta": 0.0046, "gamma": 0.002, "vega": 0.0007, "theta": -0.0068, "rho": 0.0, "theo": 0.0086, "change": -0.09, "open": 0.01, "high": 0.06, "low": 0.01, "tick": "up", "last_trade_price": 0.06, "last_trade_time": "2026-08-03T15:56:57", "percent_change": -60.0, "prev_day_close": 0.150000005960464}, {"option": "DRAM260807P00072500", "bid": 20.1, "bid_size": 68.0, "ask": 22.2, "ask_size": 94.0, "iv": 0.0, "open_interest": 3.0, "volume": 4.0, "delta": -0.9982, "gamma": 0.0015, "vega": 0.0002, "theta": -0.0082, "rho": -0.0004, "theo": 21.3964, "change": 0.065, "open": 23.73, "high": 23.74, "low": 21.49, "tick": "down", "last_trade_price": 21.49, "last_trade_time": "2026-08-03T14:38:20", "percent_change": 0.303387, "prev_day_close": 21.4249992370605}, {"option": "DRAM260807C00073000", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 1584.0, "iv": 1.5533, "open_interest": 708.0, "volume": 0.0, "delta": 0.004, "gamma": 0.0018, "vega": 0.0006, "theta": -0.006, "rho": 0.0, "theo": 0.0075, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.1, "last_trade_time": "2026-07-31T09:30:12", "percent_change": 0.0, "prev_day_close": 0.144999995827675}, {"option": "DRAM260807P00073000", "bid": 21.1, "bid_size": 62.0, "ask": 22.8, "ask_size": 92.0, "iv": 1.6527, "open_interest": 19.0, "volume": 0.0, "delta": -0.9986, "gamma": 0.0012, "vega": 0.0002, "theta": -0.0078, "rho": -0.0003, "theo": 21.896, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 21.82, "last_trade_time": "2026-07-31T10:44:53", "percent_change": 0.0, "prev_day_close": 21.8999996185303}, {"option": "DRAM260807C00073500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 1.0, "iv": 1.4436, "open_interest": 24.0, "volume": 0.0, "delta": 0.0036, "gamma": 0.0016, "vega": 0.0006, "theta": -0.0053, "rho": 0.0, "theo": 0.0066, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.13, "last_trade_time": "2026-07-27T13:06:59", "percent_change": 0.0, "prev_day_close": 0.125}, {"option": "DRAM260807P00073500", "bid": 21.3, "bid_size": 40.0, "ask": 23.3, "ask_size": 50.0, "iv": 0.0, "open_interest": 7.0, "volume": 9.0, "delta": -0.9989, "gamma": 0.001, "vega": 0.0002, "theta": -0.0076, "rho": -0.0003, "theo": 22.3957, "change": 0.825, "open": 24.9, "high": 25.15, "low": 23.25, "tick": "down", "last_trade_price": 23.25, "last_trade_time": "2026-08-03T11:18:27", "percent_change": 3.67893, "prev_day_close": 22.4249992370605}, {"option": "DRAM260807C00074000", "bid": 0.0, "bid_size": 0.0, "ask": 0.02, "ask_size": 1.0, "iv": 1.3245, "open_interest": 48.0, "volume": 2.0, "delta": 0.0032, "gamma": 0.0014, "vega": 0.0005, "theta": -0.0047, "rho": 0.0, "theo": 0.0058, "change": -0.025, "open": 0.03, "high": 0.03, "low": 0.03, "tick": "no_change", "last_trade_price": 0.03, "last_trade_time": "2026-08-03T10:45:28", "percent_change": -45.4545, "prev_day_close": 0.0549999997019768}, {"option": "DRAM260807P00074000", "bid": 21.55, "bid_size": 72.0, "ask": 23.8, "ask_size": 88.0, "iv": 0.0, "open_interest": 1.0, "volume": 0.0, "delta": -0.9992, "gamma": 0.0008, "vega": 0.0002, "theta": -0.0074, "rho": -0.0003, "theo": 22.8955, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.07, "last_trade_time": "2026-07-28T11:40:27", "percent_change": 0.0, "prev_day_close": 22.875}, {"option": "DRAM260807C00074500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 1.0, "iv": 1.4896, "open_interest": 57.0, "volume": 0.0, "delta": 0.0028, "gamma": 0.0013, "vega": 0.0005, "theta": -0.0042, "rho": 0.0, "theo": 0.0051, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.15, "last_trade_time": "2026-07-29T09:34:59", "percent_change": 0.0, "prev_day_close": 0.135000005364418}, {"option": "DRAM260807P00074500", "bid": 22.05, "bid_size": 50.0, "ask": 24.15, "ask_size": 54.0, "iv": 0.0, "open_interest": 7.0, "volume": 7.0, "delta": -0.9994, "gamma": 0.0006, "vega": 0.0001, "theta": -0.0072, "rho": -0.0001, "theo": 23.3954, "change": 2.355, "open": 25.9, "high": 26.16, "low": 25.73, "tick": "down", "last_trade_price": 25.73, "last_trade_time": "2026-08-03T09:37:36", "percent_change": 10.0749, "prev_day_close": 23.375}, {"option": "DRAM260807C00075000", "bid": 0.0, "bid_size": 0.0, "ask": 0.02, "ask_size": 1.0, "iv": 1.3667, "open_interest": 2551.0, "volume": 122.0, "delta": 0.0025, "gamma": 0.0011, "vega": 0.0004, "theta": -0.0037, "rho": 0.0, "theo": 0.0045, "change": -0.04, "open": 0.01, "high": 0.04, "low": 0.01, "tick": "no_change", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T15:36:01", "percent_change": -66.6667, "prev_day_close": 0.0600000005215406}, {"option": "DRAM260807P00075000", "bid": 23.1, "bid_size": 41.0, "ask": 24.6, "ask_size": 59.0, "iv": 0.0, "open_interest": 4.0, "volume": 0.0, "delta": -0.9995, "gamma": 0.0005, "vega": 0.0001, "theta": -0.0072, "rho": -0.0001, "theo": 23.8953, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.18, "last_trade_time": "2026-07-27T14:46:24", "percent_change": 0.0, "prev_day_close": 23.9499998092651}, {"option": "DRAM260807C00076000", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 1672.0, "iv": 1.6995, "open_interest": 158.0, "volume": 1.0, "delta": 0.002, "gamma": 0.0009, "vega": 0.0003, "theta": -0.003, "rho": 0.0, "theo": 0.0035, "change": -0.045, "open": 0.01, "high": 0.01, "low": 0.01, "tick": "down", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T10:00:33", "percent_change": -81.8182, "prev_day_close": 0.0550000006332994}, {"option": "DRAM260807P00076000", "bid": 24.25, "bid_size": 54.0, "ask": 25.8, "ask_size": 66.0, "iv": 2.0211, "open_interest": 0.0, "volume": 1.0, "delta": -0.9997, "gamma": 0.0003, "vega": 0.0, "theta": -0.007, "rho": -0.0001, "theo": 24.8951, "change": 0.145, "open": 25.02, "high": 25.02, "low": 25.02, "tick": "down", "last_trade_price": 25.02, "last_trade_time": "2026-08-03T15:22:50", "percent_change": 0.582915, "prev_day_close": 24.875}, {"option": "DRAM260807C00076500", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 424.0, "iv": 1.7231, "open_interest": 8.0, "volume": 0.0, "delta": 0.0018, "gamma": 0.0008, "vega": 0.0003, "theta": -0.0026, "rho": 0.0, "theo": 0.0031, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.25, "last_trade_time": "2026-07-24T13:34:56", "percent_change": 0.0, "prev_day_close": 0.219999998807907}, {"option": "DRAM260807P00076500", "bid": 24.6, "bid_size": 41.0, "ask": 26.3, "ask_size": 55.0, "iv": 1.8317, "open_interest": 0.0, "volume": 2.0, "delta": -0.9998, "gamma": 0.0002, "vega": 0.0, "theta": -0.007, "rho": -0.0001, "theo": 25.3951, "change": 0.025, "open": 26.13, "high": 26.13, "low": 25.45, "tick": "down", "last_trade_price": 25.45, "last_trade_time": "2026-08-03T15:22:50", "percent_change": 0.0983314, "prev_day_close": 25.4249992370605}, {"option": "DRAM260807C00077000", "bid": 0.0, "bid_size": 0.0, "ask": 0.08, "ask_size": 1289.0, "iv": 1.6962, "open_interest": 56.0, "volume": 0.0, "delta": 0.0016, "gamma": 0.0007, "vega": 0.0003, "theta": -0.0024, "rho": 0.0, "theo": 0.0028, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.05, "last_trade_time": "2026-07-30T09:30:01", "percent_change": 0.0, "prev_day_close": 0.100000001490116}, {"option": "DRAM260807P00077000", "bid": 25.35, "bid_size": 24.0, "ask": 26.7, "ask_size": 54.0, "iv": 2.0744, "open_interest": 0.0, "volume": 1.0, "delta": -0.9998, "gamma": 0.0002, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 25.8951, "change": 0.655, "open": 26.53, "high": 26.53, "low": 26.53, "tick": "up", "last_trade_price": 26.53, "last_trade_time": "2026-08-03T13:36:10", "percent_change": 2.5314, "prev_day_close": 25.875}, {"option": "DRAM260807C00077500", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 2.0, "iv": 1.623, "open_interest": 27.0, "volume": 0.0, "delta": 0.0014, "gamma": 0.0006, "vega": 0.0002, "theta": -0.0021, "rho": 0.0, "theo": 0.0025, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.03, "last_trade_time": "2026-07-31T11:26:19", "percent_change": 0.0, "prev_day_close": 0.119999997317791}, {"option": "DRAM260807P00077500", "bid": 25.55, "bid_size": 46.0, "ask": 27.25, "ask_size": 55.0, "iv": 1.5463, "open_interest": 0.0, "volume": 2.0, "delta": -0.9999, "gamma": 0.0001, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 26.395, "change": 0.73, "open": 27.07, "high": 27.08, "low": 27.07, "tick": "up", "last_trade_price": 27.08, "last_trade_time": "2026-08-03T13:36:06", "percent_change": 2.7704, "prev_day_close": 26.3500003814697}, {"option": "DRAM260807C00078000", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 1299.0, "iv": 1.7926, "open_interest": 149.0, "volume": 0.0, "delta": 0.0013, "gamma": 0.0006, "vega": 0.0002, "theta": -0.0019, "rho": 0.0, "theo": 0.0022, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.01, "last_trade_time": "2026-07-31T15:57:45", "percent_change": 0.0, "prev_day_close": 0.0500000007450581}, {"option": "DRAM260807P00078000", "bid": 26.0, "bid_size": 54.0, "ask": 27.85, "ask_size": 72.0, "iv": 1.7894, "open_interest": 0.0, "volume": 2.0, "delta": -0.9999, "gamma": 0.0001, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 26.895, "change": 0.605, "open": 27.47, "high": 27.48, "low": 27.47, "tick": "up", "last_trade_price": 27.48, "last_trade_time": "2026-08-03T13:36:06", "percent_change": 2.25116, "prev_day_close": 26.875}, {"option": "DRAM260807C00080000", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 1550.0, "iv": 1.729, "open_interest": 1887.0, "volume": 35.0, "delta": 0.0008, "gamma": 0.0004, "vega": 0.0001, "theta": -0.0012, "rho": 0.0, "theo": 0.0014, "change": 0.0, "open": 0.02, "high": 0.05, "low": 0.01, "tick": "no_change", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T13:45:44", "percent_change": 2.23517e-06, "prev_day_close": 0.00999999977648258}, {"option": "DRAM260807P00080000", "bid": 28.5, "bid_size": 31.0, "ask": 29.5, "ask_size": 36.0, "iv": 2.1641, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 28.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 31.86, "last_trade_time": "2026-07-28T09:32:15", "percent_change": 0.0, "prev_day_close": 29.2250003814697}, {"option": "DRAM260807C00085000", "bid": 0.0, "bid_size": 0.0, "ask": 0.01, "ask_size": 18.0, "iv": 1.6452, "open_interest": 464.0, "volume": 8.0, "delta": 0.0003, "gamma": 0.0001, "vega": 0.0, "theta": -0.0004, "rho": 0.0, "theo": 0.0005, "change": 0.0, "open": 0.04, "high": 0.04, "low": 0.01, "tick": "no_change", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T14:08:14", "percent_change": 2.23517e-06, "prev_day_close": 0.00999999977648258}, {"option": "DRAM260807P00085000", "bid": 33.1, "bid_size": 70.0, "ask": 34.8, "ask_size": 79.0, "iv": 2.2232, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 33.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 34.1999988555908}, {"option": "DRAM260807C00090000", "bid": 0.0, "bid_size": 0.0, "ask": 0.01, "ask_size": 1.0, "iv": 1.8092, "open_interest": 1171.0, "volume": 2.0, "delta": 0.0001, "gamma": 0.0, "vega": 0.0, "theta": -0.0002, "rho": 0.0, "theo": 0.0002, "change": 0.005, "open": 0.01, "high": 0.01, "low": 0.01, "tick": "no_change", "last_trade_price": 0.01, "last_trade_time": "2026-08-03T11:17:19", "percent_change": 100.0, "prev_day_close": 0.00499999988824129}, {"option": "DRAM260807P00090000", "bid": 38.0, "bid_size": 54.0, "ask": 39.8, "ask_size": 60.0, "iv": 2.0266, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 38.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.85, "last_trade_time": "2026-06-30T12:10:35", "percent_change": 0.0, "prev_day_close": 38.875}, {"option": "DRAM260807C00095000", "bid": 0.0, "bid_size": 0.0, "ask": 0.18, "ask_size": 1772.0, "iv": 2.6693, "open_interest": 56.0, "volume": 0.0, "delta": 0.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0001, "rho": 0.0, "theo": 0.0001, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.06, "last_trade_time": "2026-07-20T13:34:22", "percent_change": 0.0, "prev_day_close": 0.025000000372529}, {"option": "DRAM260807P00095000", "bid": 43.15, "bid_size": 59.0, "ask": 44.8, "ask_size": 62.0, "iv": 2.7332, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 43.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 43.8999996185303}, {"option": "DRAM260807C00100000", "bid": 0.0, "bid_size": 0.0, "ask": 0.15, "ask_size": 1102.0, "iv": 2.7833, "open_interest": 219.0, "volume": 0.0, "delta": 0.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 0.0, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.06, "last_trade_time": "2026-07-31T11:55:06", "percent_change": 0.0, "prev_day_close": 0.104999996721745}, {"option": "DRAM260807P00100000", "bid": 48.1, "bid_size": 40.0, "ask": 49.8, "ask_size": 60.0, "iv": 2.8069, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 48.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 41.88, "last_trade_time": "2026-07-21T11:07:05", "percent_change": 0.0, "prev_day_close": 48.9500007629394}, {"option": "DRAM260807C00105000", "bid": 0.0, "bid_size": 0.0, "ask": 0.05, "ask_size": 1.0, "iv": 2.6016, "open_interest": 472.0, "volume": 0.0, "delta": 0.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 0.0, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.12, "last_trade_time": "2026-07-14T11:50:02", "percent_change": 0.0, "prev_day_close": 0.0949999988079071}, {"option": "DRAM260807P00105000", "bid": 53.1, "bid_size": 41.0, "ask": 54.8, "ask_size": 75.0, "iv": 2.9786, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 53.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 53.8500003814697}, {"option": "DRAM260807C00110000", "bid": 0.0, "bid_size": 0.0, "ask": 0.03, "ask_size": 2.0, "iv": 2.6107, "open_interest": 60.0, "volume": 1.0, "delta": 0.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 0.0, "change": -0.005, "open": 0.02, "high": 0.02, "low": 0.02, "tick": "no_change", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T11:40:25", "percent_change": -20.0, "prev_day_close": 0.025000000372529}, {"option": "DRAM260807P00110000", "bid": 58.05, "bid_size": 54.0, "ask": 59.8, "ask_size": 84.0, "iv": 2.9773, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 58.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 58.9249992370606}, {"option": "DRAM260807C00115000", "bid": 0.0, "bid_size": 0.0, "ask": 0.02, "ask_size": 14.0, "iv": 2.6429, "open_interest": 84.0, "volume": 0.0, "delta": 0.0, "gamma": 0.0, "vega": 0.0, "theta": 0.0, "rho": 0.0, "theo": 0.0, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.03, "last_trade_time": "2026-07-30T13:01:06", "percent_change": 0.0, "prev_day_close": 0.0549999997019768}, {"option": "DRAM260807P00115000", "bid": 63.05, "bid_size": 54.0, "ask": 64.8, "ask_size": 71.0, "iv": 3.1258, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0069, "rho": 0.0, "theo": 63.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 50.0, "last_trade_time": "2026-07-06T09:57:42", "percent_change": 0.0, "prev_day_close": 63.9249992370606}, {"option": "DRAM260814C00029500", "bid": 20.85, "bid_size": 39.0, "ask": 22.5, "ask_size": 49.0, "iv": 1.4887, "open_interest": 0.0, "volume": 0.0, "delta": 0.9898, "gamma": 0.002, "vega": 0.0022, "theta": -0.0106, "rho": 0.0098, "theo": 21.6585, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.8000001907349}, {"option": "DRAM260814P00029500", "bid": 0.02, "bid_size": 1.0, "ask": 0.1, "ask_size": 106.0, "iv": 1.4936, "open_interest": 48.0, "volume": 28.0, "delta": -0.0095, "gamma": 0.002, "vega": 0.0022, "theta": -0.013, "rho": -0.0002, "theo": 0.0422, "change": -0.13, "open": 0.15, "high": 0.15, "low": 0.05, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T14:33:09", "percent_change": -72.2222, "prev_day_close": 0.180000001564622}, {"option": "DRAM260814C00030000", "bid": 20.65, "bid_size": 19.0, "ask": 22.0, "ask_size": 54.0, "iv": 1.7853, "open_interest": 7.0, "volume": 0.0, "delta": 0.9885, "gamma": 0.0023, "vega": 0.0025, "theta": -0.0121, "rho": 0.01, "theo": 21.1652, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.0, "last_trade_time": "2026-07-23T14:40:12", "percent_change": 0.0, "prev_day_close": 21.3250007629395}, {"option": "DRAM260814P00030000", "bid": 0.01, "bid_size": 243.0, "ask": 0.07, "ask_size": 1.0, "iv": 1.3732, "open_interest": 57687.0, "volume": 101.0, "delta": -0.0108, "gamma": 0.0023, "vega": 0.0025, "theta": -0.0144, "rho": -0.0002, "theo": 0.0481, "change": -0.065, "open": 0.13, "high": 0.13, "low": 0.04, "tick": "no_change", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T15:48:49", "percent_change": -56.5217, "prev_day_close": 0.115000002086163}, {"option": "DRAM260814C00030500", "bid": 19.8, "bid_size": 39.0, "ask": 21.45, "ask_size": 50.0, "iv": 1.0974, "open_interest": 0.0, "volume": 0.0, "delta": 0.9871, "gamma": 0.0026, "vega": 0.0028, "theta": -0.0137, "rho": 0.0102, "theo": 20.6726, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.8500003814697}, {"option": "DRAM260814P00030500", "bid": 0.01, "bid_size": 232.0, "ask": 0.28, "ask_size": 885.0, "iv": 1.6263, "open_interest": 21.0, "volume": 52.0, "delta": -0.0123, "gamma": 0.0026, "vega": 0.0028, "theta": -0.016, "rho": -0.0002, "theo": 0.0548, "change": -0.065, "open": 0.08, "high": 0.08, "low": 0.05, "tick": "up", "last_trade_price": 0.08, "last_trade_time": "2026-08-03T15:49:23", "percent_change": -44.8276, "prev_day_close": 0.145000003278255}, {"option": "DRAM260814C00031000", "bid": 19.3, "bid_size": 39.0, "ask": 20.9, "ask_size": 54.0, "iv": 0.0, "open_interest": 2.0, "volume": 0.0, "delta": 0.9855, "gamma": 0.0029, "vega": 0.0031, "theta": -0.0155, "rho": 0.0105, "theo": 20.1809, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.54, "last_trade_time": "2026-07-29T13:54:31", "percent_change": 0.0, "prev_day_close": 20.25}, {"option": "DRAM260814P00031000", "bid": 0.0, "bid_size": 0.0, "ask": 0.29, "ask_size": 1952.0, "iv": 1.5817, "open_interest": 171.0, "volume": 48.0, "delta": -0.0139, "gamma": 0.0029, "vega": 0.0031, "theta": -0.0177, "rho": -0.0003, "theo": 0.0624, "change": -0.12, "open": 0.1, "high": 0.1, "low": 0.07, "tick": "no_change", "last_trade_price": 0.07, "last_trade_time": "2026-08-03T15:12:39", "percent_change": -63.1579, "prev_day_close": 0.190000005066395}, {"option": "DRAM260814C00031500", "bid": 18.8, "bid_size": 39.0, "ask": 20.45, "ask_size": 69.0, "iv": 1.0104, "open_interest": 0.0, "volume": 0.0, "delta": 0.9837, "gamma": 0.0032, "vega": 0.0035, "theta": -0.0174, "rho": 0.0106, "theo": 19.6902, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.875}, {"option": "DRAM260814P00031500", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 880.0, "iv": 1.5913, "open_interest": 1.0, "volume": 0.0, "delta": -0.0157, "gamma": 0.0032, "vega": 0.0035, "theta": -0.0196, "rho": -0.0003, "theo": 0.0709, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.14, "last_trade_time": "2026-07-31T15:43:55", "percent_change": 0.0, "prev_day_close": 0.175000000745058}, {"option": "DRAM260814C00032000", "bid": 18.4, "bid_size": 39.0, "ask": 20.0, "ask_size": 68.0, "iv": 1.3526, "open_interest": 1.0, "volume": 0.0, "delta": 0.9817, "gamma": 0.0036, "vega": 0.0038, "theta": -0.0195, "rho": 0.0108, "theo": 19.2005, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.62, "last_trade_time": "2026-07-29T13:55:56", "percent_change": 0.0, "prev_day_close": 19.375}, {"option": "DRAM260814P00032000", "bid": 0.0, "bid_size": 0.0, "ask": 0.3, "ask_size": 1950.0, "iv": 1.5035, "open_interest": 6123.0, "volume": 2.0, "delta": -0.0177, "gamma": 0.0036, "vega": 0.0038, "theta": -0.0216, "rho": -0.0003, "theo": 0.0805, "change": -0.065, "open": 0.12, "high": 0.12, "low": 0.12, "tick": "no_change", "last_trade_price": 0.12, "last_trade_time": "2026-08-03T13:03:07", "percent_change": -35.1351, "prev_day_close": 0.18499999679625}, {"option": "DRAM260814C00032500", "bid": 17.85, "bid_size": 39.0, "ask": 19.4, "ask_size": 70.0, "iv": 0.9226, "open_interest": 0.0, "volume": 0.0, "delta": 0.9794, "gamma": 0.004, "vega": 0.0043, "theta": -0.0217, "rho": 0.011, "theo": 18.712, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.8249998092651}, {"option": "DRAM260814P00032500", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 519.0, "iv": 1.3613, "open_interest": 1.0, "volume": 5.0, "delta": -0.0199, "gamma": 0.004, "vega": 0.0043, "theta": -0.0239, "rho": -0.0004, "theo": 0.0912, "change": -0.105, "open": 0.21, "high": 0.21, "low": 0.12, "tick": "down", "last_trade_price": 0.12, "last_trade_time": "2026-08-03T12:32:28", "percent_change": -46.6667, "prev_day_close": 0.224999998696148}, {"option": "DRAM260814C00033000", "bid": 17.4, "bid_size": 64.0, "ask": 19.15, "ask_size": 74.0, "iv": 1.424, "open_interest": 2.0, "volume": 0.0, "delta": 0.977, "gamma": 0.0045, "vega": 0.0047, "theta": -0.0242, "rho": 0.0112, "theo": 18.2248, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 21.57, "last_trade_time": "2026-07-16T10:16:17", "percent_change": 0.0, "prev_day_close": 18.3250007629395}, {"option": "DRAM260814P00033000", "bid": 0.02, "bid_size": 739.0, "ask": 0.2, "ask_size": 1109.0, "iv": 1.3426, "open_interest": 848.0, "volume": 22.0, "delta": -0.0224, "gamma": 0.0045, "vega": 0.0047, "theta": -0.0262, "rho": -0.0004, "theo": 0.1033, "change": -0.085, "open": 0.22, "high": 0.22, "low": 0.16, "tick": "down", "last_trade_price": 0.16, "last_trade_time": "2026-08-03T11:12:29", "percent_change": -34.6939, "prev_day_close": 0.245000004768372}, {"option": "DRAM260814C00033500", "bid": 16.95, "bid_size": 39.0, "ask": 18.45, "ask_size": 71.0, "iv": 1.2302, "open_interest": 0.0, "volume": 0.0, "delta": 0.9742, "gamma": 0.005, "vega": 0.0052, "theta": -0.0268, "rho": 0.0113, "theo": 17.7391, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 17.875}, {"option": "DRAM260814P00033500", "bid": 0.05, "bid_size": 558.0, "ask": 0.25, "ask_size": 433.0, "iv": 1.3762, "open_interest": 1.0, "volume": 1.0, "delta": -0.0251, "gamma": 0.005, "vega": 0.0052, "theta": -0.0288, "rho": -0.0005, "theo": 0.1168, "change": -0.01, "open": 0.25, "high": 0.25, "low": 0.25, "tick": "up", "last_trade_price": 0.25, "last_trade_time": "2026-08-03T10:00:57", "percent_change": -3.84615, "prev_day_close": 0.259999990463257}, {"option": "DRAM260814C00034000", "bid": 16.45, "bid_size": 64.0, "ask": 17.95, "ask_size": 74.0, "iv": 1.1905, "open_interest": 1.0, "volume": 0.0, "delta": 0.9712, "gamma": 0.0056, "vega": 0.0057, "theta": -0.0296, "rho": 0.0114, "theo": 17.2549, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 12.84, "last_trade_time": "2026-07-29T13:55:56", "percent_change": 0.0, "prev_day_close": 17.375}, {"option": "DRAM260814P00034000", "bid": 0.0, "bid_size": 0.0, "ask": 0.45, "ask_size": 1667.0, "iv": 1.4444, "open_interest": 108.0, "volume": 4.0, "delta": -0.0282, "gamma": 0.0056, "vega": 0.0057, "theta": -0.0315, "rho": -0.0005, "theo": 0.1319, "change": -0.095, "open": 0.27, "high": 0.27, "low": 0.18, "tick": "up", "last_trade_price": 0.19, "last_trade_time": "2026-08-03T15:00:20", "percent_change": -33.3333, "prev_day_close": 0.284999990835786}, {"option": "DRAM260814C00034500", "bid": 16.0, "bid_size": 39.0, "ask": 17.65, "ask_size": 71.0, "iv": 1.3696, "open_interest": 0.0, "volume": 0.0, "delta": 0.9678, "gamma": 0.0061, "vega": 0.0063, "theta": -0.0326, "rho": 0.0116, "theo": 16.7725, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 16.9499998092651}, {"option": "DRAM260814P00034500", "bid": 0.05, "bid_size": 731.0, "ask": 0.25, "ask_size": 393.0, "iv": 1.294, "open_interest": 0.0, "volume": 8.0, "delta": -0.0315, "gamma": 0.0062, "vega": 0.0063, "theta": -0.0345, "rho": -0.0006, "theo": 0.1487, "change": 0.1, "open": 0.3, "high": 0.31, "low": 0.3, "tick": "no_change", "last_trade_price": 0.31, "last_trade_time": "2026-08-03T11:27:30", "percent_change": 47.6191, "prev_day_close": 0.209999993443489}, {"option": "DRAM260814C00035000", "bid": 15.65, "bid_size": 39.0, "ask": 17.0, "ask_size": 69.0, "iv": 1.3264, "open_interest": 9.0, "volume": 0.0, "delta": 0.9642, "gamma": 0.0068, "vega": 0.0069, "theta": -0.0358, "rho": 0.0117, "theo": 16.2921, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.1, "last_trade_time": "2026-07-31T13:57:56", "percent_change": 0.0, "prev_day_close": 16.4500002861023}, {"option": "DRAM260814P00035000", "bid": 0.14, "bid_size": 130.0, "ask": 0.23, "ask_size": 400.0, "iv": 1.3053, "open_interest": 734.0, "volume": 282.0, "delta": -0.0352, "gamma": 0.0068, "vega": 0.0069, "theta": -0.0376, "rho": -0.0007, "theo": 0.1675, "change": -0.05, "open": 0.3, "high": 0.3, "low": 0.12, "tick": "no_change", "last_trade_price": 0.19, "last_trade_time": "2026-08-03T14:59:20", "percent_change": -20.8333, "prev_day_close": 0.239999994635582}, {"option": "DRAM260814C00035500", "bid": 15.1, "bid_size": 65.0, "ask": 16.35, "ask_size": 44.0, "iv": 1.1276, "open_interest": 0.0, "volume": 7.0, "delta": 0.9601, "gamma": 0.0075, "vega": 0.0075, "theta": -0.0392, "rho": 0.0118, "theo": 15.8137, "change": -1.55, "open": 15.75, "high": 15.75, "low": 14.45, "tick": "down", "last_trade_price": 14.45, "last_trade_time": "2026-08-03T11:25:38", "percent_change": -9.6875, "prev_day_close": 15.9999995231628}, {"option": "DRAM260814P00035500", "bid": 0.01, "bid_size": 1819.0, "ask": 0.23, "ask_size": 5.0, "iv": 1.1649, "open_interest": 26.0, "volume": 15.0, "delta": -0.0392, "gamma": 0.0075, "vega": 0.0075, "theta": -0.041, "rho": -0.0007, "theo": 0.1885, "change": -0.055, "open": 0.23, "high": 0.23, "low": 0.22, "tick": "down", "last_trade_price": 0.22, "last_trade_time": "2026-08-03T14:41:49", "percent_change": -20.0, "prev_day_close": 0.274999998509884}, {"option": "DRAM260814C00036000", "bid": 14.55, "bid_size": 39.0, "ask": 16.2, "ask_size": 71.0, "iv": 1.3016, "open_interest": 10.0, "volume": 0.0, "delta": 0.9557, "gamma": 0.0082, "vega": 0.0082, "theta": -0.0427, "rho": 0.0119, "theo": 15.3378, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.61, "last_trade_time": "2026-07-31T15:20:29", "percent_change": 0.0, "prev_day_close": 15.375}, {"option": "DRAM260814P00036000", "bid": 0.07, "bid_size": 867.0, "ask": 0.25, "ask_size": 37.0, "iv": 1.189, "open_interest": 97.0, "volume": 45.0, "delta": -0.0437, "gamma": 0.0082, "vega": 0.0082, "theta": -0.0445, "rho": -0.0008, "theo": 0.2117, "change": -0.155, "open": 0.37, "high": 0.39, "low": 0.16, "tick": "no_change", "last_trade_price": 0.16, "last_trade_time": "2026-08-03T15:58:32", "percent_change": -49.2063, "prev_day_close": 0.315000005066395}, {"option": "DRAM260814C00036500", "bid": 14.0, "bid_size": 39.0, "ask": 15.55, "ask_size": 74.0, "iv": 1.1326, "open_interest": 0.0, "volume": 0.0, "delta": 0.9508, "gamma": 0.0091, "vega": 0.0089, "theta": -0.0465, "rho": 0.012, "theo": 14.8644, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.0750002861023}, {"option": "DRAM260814P00036500", "bid": 0.11, "bid_size": 807.0, "ask": 0.27, "ask_size": 8.0, "iv": 1.1897, "open_interest": 10.0, "volume": 38.0, "delta": -0.0485, "gamma": 0.0091, "vega": 0.0089, "theta": -0.0482, "rho": -0.0009, "theo": 0.2376, "change": -0.105, "open": 0.41, "high": 0.51, "low": 0.31, "tick": "down", "last_trade_price": 0.31, "last_trade_time": "2026-08-03T10:30:25", "percent_change": -25.3012, "prev_day_close": 0.41499999165535}, {"option": "DRAM260814C00037000", "bid": 13.8, "bid_size": 61.0, "ask": 15.0, "ask_size": 69.0, "iv": 1.2424, "open_interest": 1.0, "volume": 1.0, "delta": 0.9455, "gamma": 0.0099, "vega": 0.0097, "theta": -0.0505, "rho": 0.0121, "theo": 14.3938, "change": -1.625, "open": 13.0, "high": 13.0, "low": 13.0, "tick": "up", "last_trade_price": 13.0, "last_trade_time": "2026-08-03T11:25:01", "percent_change": -11.1111, "prev_day_close": 14.625}, {"option": "DRAM260814P00037000", "bid": 0.06, "bid_size": 1274.0, "ask": 0.4, "ask_size": 1054.0, "iv": 1.1969, "open_interest": 332.0, "volume": 37.0, "delta": -0.0539, "gamma": 0.0099, "vega": 0.0097, "theta": -0.0522, "rho": -0.001, "theo": 0.2662, "change": -0.155, "open": 0.71, "high": 0.71, "low": 0.28, "tick": "up", "last_trade_price": 0.32, "last_trade_time": "2026-08-03T14:44:13", "percent_change": -32.6316, "prev_day_close": 0.475000008940697}, {"option": "DRAM260814C00037500", "bid": 13.15, "bid_size": 39.0, "ask": 14.75, "ask_size": 71.0, "iv": 1.2479, "open_interest": 0.0, "volume": 0.0, "delta": 0.9397, "gamma": 0.0108, "vega": 0.0105, "theta": -0.0547, "rho": 0.0121, "theo": 13.9262, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.0999999046326}, {"option": "DRAM260814P00037500", "bid": 0.23, "bid_size": 363.0, "ask": 0.48, "ask_size": 944.0, "iv": 1.2779, "open_interest": 3.0, "volume": 4.0, "delta": -0.0597, "gamma": 0.0108, "vega": 0.0105, "theta": -0.0563, "rho": -0.0011, "theo": 0.2979, "change": -0.035, "open": 0.31, "high": 0.36, "low": 0.29, "tick": "up", "last_trade_price": 0.36, "last_trade_time": "2026-08-03T11:09:30", "percent_change": -8.86076, "prev_day_close": 0.394999995827675}, {"option": "DRAM260814C00038000", "bid": 13.0, "bid_size": 12.0, "ask": 14.05, "ask_size": 30.0, "iv": 1.2688, "open_interest": 1.0, "volume": 4.0, "delta": 0.9334, "gamma": 0.0118, "vega": 0.0114, "theta": -0.0591, "rho": 0.0122, "theo": 13.4621, "change": -1.535, "open": 11.17, "high": 12.14, "low": 11.17, "tick": "up", "last_trade_price": 12.14, "last_trade_time": "2026-08-03T10:36:44", "percent_change": -11.2249, "prev_day_close": 13.6750001907349}, {"option": "DRAM260814P00038000", "bid": 0.2, "bid_size": 926.0, "ask": 0.36, "ask_size": 1.0, "iv": 1.1663, "open_interest": 494.0, "volume": 188.0, "delta": -0.066, "gamma": 0.0118, "vega": 0.0114, "theta": -0.0607, "rho": -0.0012, "theo": 0.333, "change": -0.165, "open": 0.64, "high": 0.64, "low": 0.28, "tick": "no_change", "last_trade_price": 0.28, "last_trade_time": "2026-08-03T15:57:26", "percent_change": -37.0787, "prev_day_close": 0.445000007748604}, {"option": "DRAM260814C00038500", "bid": 12.15, "bid_size": 41.0, "ask": 13.85, "ask_size": 78.0, "iv": 1.204, "open_interest": 0.0, "volume": 4.0, "delta": 0.9265, "gamma": 0.0129, "vega": 0.0123, "theta": -0.0637, "rho": 0.0122, "theo": 13.0015, "change": -1.53, "open": 10.82, "high": 11.67, "low": 10.82, "tick": "up", "last_trade_price": 11.67, "last_trade_time": "2026-08-03T10:36:44", "percent_change": -11.5909, "prev_day_close": 13.2000002861023}, {"option": "DRAM260814P00038500", "bid": 0.18, "bid_size": 683.0, "ask": 0.55, "ask_size": 698.0, "iv": 1.1997, "open_interest": 10.0, "volume": 68.0, "delta": -0.0728, "gamma": 0.0129, "vega": 0.0123, "theta": -0.0652, "rho": -0.0014, "theo": 0.3717, "change": -0.135, "open": 0.68, "high": 0.68, "low": 0.37, "tick": "no_change", "last_trade_price": 0.4, "last_trade_time": "2026-08-03T15:26:03", "percent_change": -25.2336, "prev_day_close": 0.535000011324882}, {"option": "DRAM260814C00039000", "bid": 12.05, "bid_size": 12.0, "ask": 13.9, "ask_size": 95.0, "iv": 1.474, "open_interest": 6.0, "volume": 0.0, "delta": 0.9191, "gamma": 0.014, "vega": 0.0132, "theta": -0.0685, "rho": 0.0123, "theo": 12.5449, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.01, "last_trade_time": "2026-07-31T14:11:58", "percent_change": 0.0, "prev_day_close": 12.8500003814697}, {"option": "DRAM260814P00039000", "bid": 0.4, "bid_size": 5.0, "ask": 0.72, "ask_size": 1180.0, "iv": 1.2991, "open_interest": 323.0, "volume": 128.0, "delta": -0.0803, "gamma": 0.014, "vega": 0.0132, "theta": -0.0699, "rho": -0.0014, "theo": 0.4144, "change": -0.15, "open": 0.72, "high": 0.72, "low": 0.4, "tick": "up", "last_trade_price": 0.45, "last_trade_time": "2026-08-03T15:50:50", "percent_change": -25.0, "prev_day_close": 0.599999994039536}, {"option": "DRAM260814C00039500", "bid": 11.5, "bid_size": 18.0, "ask": 12.95, "ask_size": 74.0, "iv": 1.2749, "open_interest": 0.0, "volume": 0.0, "delta": 0.9111, "gamma": 0.0151, "vega": 0.0142, "theta": -0.0734, "rho": 0.0123, "theo": 12.0925, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 12.3999996185303}, {"option": "DRAM260814P00039500", "bid": 0.25, "bid_size": 960.0, "ask": 0.77, "ask_size": 960.0, "iv": 1.2198, "open_interest": 7.0, "volume": 32.0, "delta": -0.0883, "gamma": 0.0151, "vega": 0.0142, "theta": -0.0748, "rho": -0.0016, "theo": 0.4613, "change": -0.135, "open": 0.77, "high": 0.77, "low": 0.47, "tick": "up", "last_trade_price": 0.5, "last_trade_time": "2026-08-03T15:50:23", "percent_change": -21.2598, "prev_day_close": 0.634999990463257}, {"option": "DRAM260814C00040000", "bid": 11.05, "bid_size": 72.0, "ask": 12.55, "ask_size": 146.0, "iv": 1.2738, "open_interest": 52.0, "volume": 22.0, "delta": 0.9024, "gamma": 0.0163, "vega": 0.0152, "theta": -0.0785, "rho": 0.0123, "theo": 11.6448, "change": -0.385, "open": 9.8, "high": 11.49, "low": 9.25, "tick": "up", "last_trade_price": 11.49, "last_trade_time": "2026-08-03T15:08:35", "percent_change": -3.24211, "prev_day_close": 11.875}, {"option": "DRAM260814P00040000", "bid": 0.4, "bid_size": 363.0, "ask": 0.53, "ask_size": 2.0, "iv": 1.1444, "open_interest": 2335.0, "volume": 551.0, "delta": -0.097, "gamma": 0.0164, "vega": 0.0152, "theta": -0.0798, "rho": -0.0018, "theo": 0.5128, "change": -0.25, "open": 1.14, "high": 1.14, "low": 0.49, "tick": "down", "last_trade_price": 0.5, "last_trade_time": "2026-08-03T15:50:30", "percent_change": -33.3333, "prev_day_close": 0.75}, {"option": "DRAM260814C00040500", "bid": 10.5, "bid_size": 120.0, "ask": 12.0, "ask_size": 182.0, "iv": 1.1968, "open_interest": 0.0, "volume": 0.0, "delta": 0.8931, "gamma": 0.0176, "vega": 0.0163, "theta": -0.0837, "rho": 0.0123, "theo": 11.2021, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 11.3250002861023}, {"option": "DRAM260814P00040500", "bid": 0.53, "bid_size": 74.0, "ask": 0.65, "ask_size": 98.0, "iv": 1.1803, "open_interest": 84.0, "volume": 65.0, "delta": -0.1063, "gamma": 0.0176, "vega": 0.0163, "theta": -0.085, "rho": -0.0019, "theo": 0.5693, "change": -0.25, "open": 1.0, "high": 1.03, "low": 0.56, "tick": "up", "last_trade_price": 0.57, "last_trade_time": "2026-08-03T15:55:50", "percent_change": -30.4878, "prev_day_close": 0.819999992847443}, {"option": "DRAM260814C00041000", "bid": 9.9, "bid_size": 224.0, "ask": 11.5, "ask_size": 276.0, "iv": 1.1206, "open_interest": 11.0, "volume": 0.0, "delta": 0.8831, "gamma": 0.0189, "vega": 0.0174, "theta": -0.089, "rho": 0.0122, "theo": 10.7646, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.2, "last_trade_time": "2026-07-30T09:58:34", "percent_change": 0.0, "prev_day_close": 10.9500002861023}, {"option": "DRAM260814P00041000", "bid": 0.44, "bid_size": 955.0, "ask": 0.85, "ask_size": 927.0, "iv": 1.1668, "open_interest": 325.0, "volume": 56.0, "delta": -0.1163, "gamma": 0.0189, "vega": 0.0174, "theta": -0.0903, "rho": -0.0021, "theo": 0.6312, "change": -0.23, "open": 1.1, "high": 1.15, "low": 0.65, "tick": "down", "last_trade_price": 0.65, "last_trade_time": "2026-08-03T15:57:11", "percent_change": -26.1364, "prev_day_close": 0.879999995231628}, {"option": "DRAM260814C00041500", "bid": 9.85, "bid_size": 139.0, "ask": 10.85, "ask_size": 150.0, "iv": 1.1595, "open_interest": 0.0, "volume": 1.0, "delta": 0.8725, "gamma": 0.0203, "vega": 0.0185, "theta": -0.0945, "rho": 0.0122, "theo": 10.3329, "change": -0.3, "open": 10.3, "high": 10.3, "low": 10.3, "tick": "down", "last_trade_price": 10.3, "last_trade_time": "2026-08-03T14:22:56", "percent_change": -2.83019, "prev_day_close": 10.5999999046326}, {"option": "DRAM260814P00041500", "bid": 0.59, "bid_size": 323.0, "ask": 0.91, "ask_size": 593.0, "iv": 1.1778, "open_interest": 18.0, "volume": 42.0, "delta": -0.127, "gamma": 0.0203, "vega": 0.0185, "theta": -0.0956, "rho": -0.0023, "theo": 0.6988, "change": -0.295, "open": 1.25, "high": 1.25, "low": 0.69, "tick": "down", "last_trade_price": 0.69, "last_trade_time": "2026-08-03T14:22:43", "percent_change": -29.9492, "prev_day_close": 0.984999984502792}, {"option": "DRAM260814C00042000", "bid": 9.65, "bid_size": 37.0, "ask": 10.5, "ask_size": 295.0, "iv": 1.2251, "open_interest": 3.0, "volume": 3.0, "delta": 0.861, "gamma": 0.0217, "vega": 0.0196, "theta": -0.0999, "rho": 0.0122, "theo": 9.9073, "change": -0.205, "open": 7.5, "high": 9.97, "low": 7.5, "tick": "up", "last_trade_price": 9.97, "last_trade_time": "2026-08-03T14:22:56", "percent_change": -2.01474, "prev_day_close": 10.1749997138977}, {"option": "DRAM260814P00042000", "bid": 0.71, "bid_size": 107.0, "ask": 0.84, "ask_size": 58.0, "iv": 1.1432, "open_interest": 572.0, "volume": 774.0, "delta": -0.1384, "gamma": 0.0217, "vega": 0.0196, "theta": -0.1011, "rho": -0.0026, "theo": 0.7725, "change": -0.255, "open": 1.01, "high": 1.4, "low": 0.73, "tick": "up", "last_trade_price": 0.8, "last_trade_time": "2026-08-03T15:38:59", "percent_change": -24.1706, "prev_day_close": 1.05500000715256}, {"option": "DRAM260814C00042500", "bid": 9.0, "bid_size": 138.0, "ask": 10.2, "ask_size": 244.0, "iv": 1.1869, "open_interest": 0.0, "volume": 10.0, "delta": 0.8489, "gamma": 0.0231, "vega": 0.0207, "theta": -0.1054, "rho": 0.0121, "theo": 9.4882, "change": -0.3, "open": 7.5, "high": 9.68, "low": 7.5, "tick": "down", "last_trade_price": 9.6, "last_trade_time": "2026-08-03T14:40:48", "percent_change": -3.0303, "prev_day_close": 9.89999961853027}, {"option": "DRAM260814P00042500", "bid": 0.75, "bid_size": 235.0, "ask": 1.01, "ask_size": 442.0, "iv": 1.147, "open_interest": 18.0, "volume": 46.0, "delta": -0.1505, "gamma": 0.0231, "vega": 0.0208, "theta": -0.1066, "rho": -0.0027, "theo": 0.8527, "change": -0.33, "open": 1.68, "high": 1.68, "low": 0.82, "tick": "down", "last_trade_price": 0.82, "last_trade_time": "2026-08-03T13:59:14", "percent_change": -28.6957, "prev_day_close": 1.15000003576279}, {"option": "DRAM260814C00043000", "bid": 8.5, "bid_size": 240.0, "ask": 10.4, "ask_size": 405.0, "iv": 1.2892, "open_interest": 3.0, "volume": 11.0, "delta": 0.836, "gamma": 0.0246, "vega": 0.0219, "theta": -0.111, "rho": 0.012, "theo": 9.076, "change": -0.32, "open": 7.41, "high": 9.18, "low": 7.22, "tick": "down", "last_trade_price": 9.13, "last_trade_time": "2026-08-03T14:40:48", "percent_change": -3.38624, "prev_day_close": 9.44999980926514}, {"option": "DRAM260814P00043000", "bid": 0.82, "bid_size": 301.0, "ask": 1.0, "ask_size": 3.0, "iv": 1.103, "open_interest": 590.0, "volume": 89.0, "delta": -0.1634, "gamma": 0.0246, "vega": 0.0219, "theta": -0.112, "rho": -0.003, "theo": 0.9399, "change": -0.39, "open": 1.6, "high": 1.6, "low": 0.89, "tick": "down", "last_trade_price": 0.94, "last_trade_time": "2026-08-03T15:34:16", "percent_change": -29.3233, "prev_day_close": 1.3299999833107}, {"option": "DRAM260814C00043500", "bid": 8.25, "bid_size": 135.0, "ask": 9.35, "ask_size": 252.0, "iv": 1.1736, "open_interest": 0.0, "volume": 0.0, "delta": 0.8224, "gamma": 0.026, "vega": 0.023, "theta": -0.1164, "rho": 0.0119, "theo": 8.6713, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.05000019073486}, {"option": "DRAM260814P00043500", "bid": 0.89, "bid_size": 412.0, "ask": 1.2, "ask_size": 528.0, "iv": 1.1231, "open_interest": 32.0, "volume": 41.0, "delta": -0.1771, "gamma": 0.026, "vega": 0.0231, "theta": -0.1174, "rho": -0.0032, "theo": 1.0344, "change": -0.1, "open": 1.5, "high": 1.71, "low": 1.11, "tick": "no_change", "last_trade_price": 1.22, "last_trade_time": "2026-08-03T12:10:30", "percent_change": -7.57576, "prev_day_close": 1.31999999284744}, {"option": "DRAM260814C00044000", "bid": 7.9, "bid_size": 143.0, "ask": 8.7, "ask_size": 139.0, "iv": 1.1218, "open_interest": 24.0, "volume": 0.0, "delta": 0.8081, "gamma": 0.0275, "vega": 0.0242, "theta": -0.1218, "rho": 0.0118, "theo": 8.2742, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.38, "last_trade_time": "2026-07-31T15:49:18", "percent_change": 0.0, "prev_day_close": 8.37500023841858}, {"option": "DRAM260814P00044000", "bid": 0.93, "bid_size": 636.0, "ask": 1.26, "ask_size": 405.0, "iv": 1.0938, "open_interest": 551.0, "volume": 111.0, "delta": -0.1915, "gamma": 0.0275, "vega": 0.0242, "theta": -0.1228, "rho": -0.0034, "theo": 1.1367, "change": -0.325, "open": 1.79, "high": 2.0, "low": 1.04, "tick": "up", "last_trade_price": 1.12, "last_trade_time": "2026-08-03T15:57:48", "percent_change": -22.4914, "prev_day_close": 1.44500005245209}, {"option": "DRAM260814C00044500", "bid": 7.0, "bid_size": 287.0, "ask": 8.6, "ask_size": 330.0, "iv": 1.07, "open_interest": 0.0, "volume": 0.0, "delta": 0.793, "gamma": 0.029, "vega": 0.0253, "theta": -0.1271, "rho": 0.0116, "theo": 7.8853, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.35000014305115}, {"option": "DRAM260814P00044500", "bid": 1.09, "bid_size": 445.0, "ask": 1.4, "ask_size": 583.0, "iv": 1.1032, "open_interest": 138.0, "volume": 53.0, "delta": -0.2066, "gamma": 0.029, "vega": 0.0254, "theta": -0.128, "rho": -0.0037, "theo": 1.2472, "change": -0.33, "open": 1.92, "high": 1.95, "low": 1.22, "tick": "no_change", "last_trade_price": 1.25, "last_trade_time": "2026-08-03T14:14:41", "percent_change": -20.8861, "prev_day_close": 1.58000004291534}, {"option": "DRAM260814C00045000", "bid": 7.0, "bid_size": 954.0, "ask": 8.2, "ask_size": 615.0, "iv": 1.1329, "open_interest": 405.0, "volume": 11.0, "delta": 0.7771, "gamma": 0.0304, "vega": 0.0264, "theta": -0.1322, "rho": 0.0115, "theo": 7.5051, "change": 0.075, "open": 5.3, "high": 7.65, "low": 5.3, "tick": "up", "last_trade_price": 7.65, "last_trade_time": "2026-08-03T15:44:05", "percent_change": 0.990098, "prev_day_close": 7.57500004768372}, {"option": "DRAM260814P00045000", "bid": 1.29, "bid_size": 16.0, "ask": 1.4, "ask_size": 2.0, "iv": 1.0892, "open_interest": 4282.0, "volume": 355.0, "delta": -0.2225, "gamma": 0.0305, "vega": 0.0265, "theta": -0.1331, "rho": -0.004, "theo": 1.3662, "change": -0.33, "open": 2.13, "high": 2.31, "low": 1.27, "tick": "up", "last_trade_price": 1.34, "last_trade_time": "2026-08-03T15:59:09", "percent_change": -19.7605, "prev_day_close": 1.6700000166893}, {"option": "DRAM260814C00045500", "bid": 6.45, "bid_size": 174.0, "ask": 7.7, "ask_size": 255.0, "iv": 1.0692, "open_interest": 0.0, "volume": 0.0, "delta": 0.7605, "gamma": 0.0319, "vega": 0.0275, "theta": -0.1372, "rho": 0.0113, "theo": 7.1338, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.60000014305115}, {"option": "DRAM260814P00045500", "bid": 1.28, "bid_size": 450.0, "ask": 1.71, "ask_size": 598.0, "iv": 1.0909, "open_interest": 29.0, "volume": 29.0, "delta": -0.239, "gamma": 0.0319, "vega": 0.0276, "theta": -0.138, "rho": -0.0042, "theo": 1.4943, "change": -0.28, "open": 2.4, "high": 2.4, "low": 1.53, "tick": "no_change", "last_trade_price": 1.61, "last_trade_time": "2026-08-03T15:39:57", "percent_change": -14.8148, "prev_day_close": 1.88999992609024}, {"option": "DRAM260814C00046000", "bid": 6.4, "bid_size": 226.0, "ask": 7.25, "ask_size": 341.0, "iv": 1.103, "open_interest": 36.0, "volume": 4.0, "delta": 0.7433, "gamma": 0.0333, "vega": 0.0286, "theta": -0.1419, "rho": 0.0111, "theo": 6.7717, "change": -0.165, "open": 4.9, "high": 6.71, "low": 4.9, "tick": "up", "last_trade_price": 6.71, "last_trade_time": "2026-08-03T14:54:25", "percent_change": -2.4, "prev_day_close": 6.875}, {"option": "DRAM260814P00046000", "bid": 1.46, "bid_size": 499.0, "ask": 1.64, "ask_size": 4.0, "iv": 1.0556, "open_interest": 1047.0, "volume": 274.0, "delta": -0.2563, "gamma": 0.0333, "vega": 0.0286, "theta": -0.1427, "rho": -0.0045, "theo": 1.6317, "change": -0.465, "open": 2.48, "high": 2.73, "low": 1.5, "tick": "no_change", "last_trade_price": 1.55, "last_trade_time": "2026-08-03T15:58:58", "percent_change": -23.0769, "prev_day_close": 2.01500004529953}, {"option": "DRAM260814C00046500", "bid": 6.15, "bid_size": 160.0, "ask": 6.7, "ask_size": 185.0, "iv": 1.0802, "open_interest": 2.0, "volume": 2.0, "delta": 0.7254, "gamma": 0.0346, "vega": 0.0296, "theta": -0.1464, "rho": 0.0109, "theo": 6.4195, "change": -0.68, "open": 5.9, "high": 5.97, "low": 5.9, "tick": "up", "last_trade_price": 5.97, "last_trade_time": "2026-08-03T12:46:08", "percent_change": -10.2256, "prev_day_close": 6.65000009536743}, {"option": "DRAM260814P00046500", "bid": 1.58, "bid_size": 503.0, "ask": 1.8, "ask_size": 1.0, "iv": 1.0482, "open_interest": 495.0, "volume": 524.0, "delta": -0.2743, "gamma": 0.0347, "vega": 0.0296, "theta": -0.1471, "rho": -0.0049, "theo": 1.7789, "change": -0.4, "open": 2.73, "high": 2.87, "low": 1.79, "tick": "no_change", "last_trade_price": 1.79, "last_trade_time": "2026-08-03T14:36:27", "percent_change": -18.2648, "prev_day_close": 2.19000005722046}, {"option": "DRAM260814C00047000", "bid": 5.75, "bid_size": 369.0, "ask": 6.3, "ask_size": 34.0, "iv": 1.0554, "open_interest": 296.0, "volume": 10.0, "delta": 0.7068, "gamma": 0.0359, "vega": 0.0305, "theta": -0.1505, "rho": 0.0107, "theo": 6.0774, "change": 0.075, "open": 4.5, "high": 6.3, "low": 4.2, "tick": "up", "last_trade_price": 6.3, "last_trade_time": "2026-08-03T14:03:03", "percent_change": 1.20482, "prev_day_close": 6.22499990463257}, {"option": "DRAM260814P00047000", "bid": 1.81, "bid_size": 186.0, "ask": 2.07, "ask_size": 76.0, "iv": 1.0738, "open_interest": 652.0, "volume": 505.0, "delta": -0.2928, "gamma": 0.036, "vega": 0.0305, "theta": -0.1512, "rho": -0.0053, "theo": 1.9361, "change": -0.475, "open": 3.17, "high": 3.25, "low": 1.83, "tick": "down", "last_trade_price": 1.88, "last_trade_time": "2026-08-03T15:55:04", "percent_change": -20.1699, "prev_day_close": 2.35500001907349}, {"option": "DRAM260814C00047500", "bid": 5.2, "bid_size": 317.0, "ask": 6.2, "ask_size": 377.0, "iv": 1.0525, "open_interest": 0.0, "volume": 0.0, "delta": 0.6877, "gamma": 0.0372, "vega": 0.0314, "theta": -0.1543, "rho": 0.0105, "theo": 5.7455, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.89999985694885}, {"option": "DRAM260814P00047500", "bid": 1.74, "bid_size": 765.0, "ask": 2.3, "ask_size": 403.0, "iv": 1.0403, "open_interest": 23.0, "volume": 1311.0, "delta": -0.312, "gamma": 0.0372, "vega": 0.0314, "theta": -0.155, "rho": -0.0055, "theo": 2.1038, "change": -0.42, "open": 3.35, "high": 3.35, "low": 1.98, "tick": "down", "last_trade_price": 2.1, "last_trade_time": "2026-08-03T15:59:56", "percent_change": -16.6667, "prev_day_close": 2.51999998092651}, {"option": "DRAM260814C00048000", "bid": 5.0, "bid_size": 670.0, "ask": 5.75, "ask_size": 302.0, "iv": 1.0464, "open_interest": 132.0, "volume": 41.0, "delta": 0.6681, "gamma": 0.0383, "vega": 0.0322, "theta": -0.1578, "rho": 0.0102, "theo": 5.4244, "change": -0.575, "open": 4.13, "high": 5.21, "low": 3.51, "tick": "up", "last_trade_price": 5.0, "last_trade_time": "2026-08-03T12:44:11", "percent_change": -10.3139, "prev_day_close": 5.57500004768372}, {"option": "DRAM260814P00048000", "bid": 2.25, "bid_size": 3.0, "ask": 2.3, "ask_size": 2.0, "iv": 1.0596, "open_interest": 1004.0, "volume": 1385.0, "delta": -0.3317, "gamma": 0.0384, "vega": 0.0322, "theta": -0.1584, "rho": -0.0059, "theo": 2.2821, "change": -0.59, "open": 3.25, "high": 3.65, "low": 2.03, "tick": "up", "last_trade_price": 2.2, "last_trade_time": "2026-08-03T15:54:02", "percent_change": -21.147, "prev_day_close": 2.79000008106232}, {"option": "DRAM260814C00048500", "bid": 4.95, "bid_size": 195.0, "ask": 5.4, "ask_size": 258.0, "iv": 1.0752, "open_interest": 656.0, "volume": 51.0, "delta": 0.648, "gamma": 0.0393, "vega": 0.033, "theta": -0.1608, "rho": 0.01, "theo": 5.1142, "change": -0.8, "open": 3.75, "high": 4.75, "low": 3.64, "tick": "up", "last_trade_price": 4.75, "last_trade_time": "2026-08-03T15:19:33", "percent_change": -14.4144, "prev_day_close": 5.55000019073486}, {"option": "DRAM260814P00048500", "bid": 2.3, "bid_size": 175.0, "ask": 2.57, "ask_size": 15.0, "iv": 1.0457, "open_interest": 16.0, "volume": 38.0, "delta": -0.3518, "gamma": 0.0394, "vega": 0.033, "theta": -0.1614, "rho": -0.0062, "theo": 2.4714, "change": -0.33, "open": 3.8, "high": 3.9, "low": 2.4, "tick": "up", "last_trade_price": 2.41, "last_trade_time": "2026-08-03T15:54:02", "percent_change": -12.0438, "prev_day_close": 2.74000000953674}, {"option": "DRAM260814C00049000", "bid": 4.0, "bid_size": 1438.0, "ask": 5.05, "ask_size": 182.0, "iv": 0.9655, "open_interest": 500.0, "volume": 173.0, "delta": 0.6274, "gamma": 0.0403, "vega": 0.0336, "theta": -0.1634, "rho": 0.0097, "theo": 4.8151, "change": -0.575, "open": 3.69, "high": 4.57, "low": 3.3, "tick": "down", "last_trade_price": 4.45, "last_trade_time": "2026-08-03T12:58:01", "percent_change": -11.4428, "prev_day_close": 5.02500009536743}, {"option": "DRAM260814P00049000", "bid": 2.51, "bid_size": 253.0, "ask": 2.75, "ask_size": 5.0, "iv": 1.0396, "open_interest": 401.0, "volume": 239.0, "delta": -0.3724, "gamma": 0.0404, "vega": 0.0336, "theta": -0.1639, "rho": -0.0064, "theo": 2.6719, "change": -0.58, "open": 4.15, "high": 4.15, "low": 2.51, "tick": "down", "last_trade_price": 2.57, "last_trade_time": "2026-08-03T15:37:39", "percent_change": -18.4127, "prev_day_close": 3.14999997615814}, {"option": "DRAM260814C00049500", "bid": 4.35, "bid_size": 234.0, "ask": 4.9, "ask_size": 506.0, "iv": 1.0762, "open_interest": 100.0, "volume": 113.0, "delta": 0.6065, "gamma": 0.0411, "vega": 0.0341, "theta": -0.1655, "rho": 0.0094, "theo": 4.5273, "change": -0.175, "open": 3.33, "high": 4.6, "low": 3.0, "tick": "up", "last_trade_price": 4.6, "last_trade_time": "2026-08-03T13:53:27", "percent_change": -3.66492, "prev_day_close": 4.77500009536743}, {"option": "DRAM260814P00049500", "bid": 2.53, "bid_size": 603.0, "ask": 3.1, "ask_size": 476.0, "iv": 1.0275, "open_interest": 47.0, "volume": 12.0, "delta": -0.3934, "gamma": 0.0412, "vega": 0.0342, "theta": -0.166, "rho": -0.0068, "theo": 2.8836, "change": -0.525, "open": 3.34, "high": 3.47, "low": 2.75, "tick": "down", "last_trade_price": 2.75, "last_trade_time": "2026-08-03T14:04:31", "percent_change": -16.0305, "prev_day_close": 3.27499997615814}, {"option": "DRAM260814C00050000", "bid": 4.1, "bid_size": 258.0, "ask": 4.4, "ask_size": 68.0, "iv": 1.0431, "open_interest": 1173.0, "volume": 1581.0, "delta": 0.5854, "gamma": 0.0418, "vega": 0.0346, "theta": -0.1672, "rho": 0.0091, "theo": 4.251, "change": -0.3, "open": 3.45, "high": 4.5, "low": 2.76, "tick": "down", "last_trade_price": 4.3, "last_trade_time": "2026-08-03T15:56:59", "percent_change": -6.52174, "prev_day_close": 4.59999990463257}, {"option": "DRAM260814P00050000", "bid": 2.93, "bid_size": 311.0, "ask": 3.25, "ask_size": 332.0, "iv": 1.0385, "open_interest": 58780.0, "volume": 531.0, "delta": -0.4146, "gamma": 0.0419, "vega": 0.0346, "theta": -0.1676, "rho": -0.0073, "theo": 3.1068, "change": -0.545, "open": 4.35, "high": 4.85, "low": 2.93, "tick": "up", "last_trade_price": 3.08, "last_trade_time": "2026-08-03T15:57:13", "percent_change": -15.0345, "prev_day_close": 3.625}, {"option": "DRAM260814C00050500", "bid": 3.85, "bid_size": 199.0, "ask": 4.15, "ask_size": 259.0, "iv": 1.0434, "open_interest": 66.0, "volume": 243.0, "delta": 0.564, "gamma": 0.0424, "vega": 0.035, "theta": -0.1684, "rho": 0.0088, "theo": 3.9862, "change": -0.225, "open": 2.82, "high": 4.05, "low": 2.65, "tick": "down", "last_trade_price": 4.0, "last_trade_time": "2026-08-03T15:55:43", "percent_change": -5.32544, "prev_day_close": 4.22499990463257}, {"option": "DRAM260814P00050500", "bid": 3.1, "bid_size": 321.0, "ask": 3.55, "ask_size": 447.0, "iv": 1.0347, "open_interest": 26.0, "volume": 4.0, "delta": -0.436, "gamma": 0.0425, "vega": 0.035, "theta": -0.1688, "rho": -0.0074, "theo": 3.3416, "change": -0.45, "open": 4.45, "high": 4.45, "low": 3.4, "tick": "down", "last_trade_price": 3.4, "last_trade_time": "2026-08-03T13:31:35", "percent_change": -11.6883, "prev_day_close": 3.85000002384186}, {"option": "DRAM260814C00051000", "bid": 3.6, "bid_size": 231.0, "ask": 3.9, "ask_size": 278.0, "iv": 1.0406, "open_interest": 1339.0, "volume": 426.0, "delta": 0.5425, "gamma": 0.0429, "vega": 0.0352, "theta": -0.169, "rho": 0.0085, "theo": 3.7329, "change": -0.2, "open": 2.54, "high": 4.05, "low": 2.48, "tick": "down", "last_trade_price": 3.75, "last_trade_time": "2026-08-03T15:56:07", "percent_change": -5.06329, "prev_day_close": 3.94999992847443}, {"option": "DRAM260814P00051000", "bid": 3.45, "bid_size": 129.0, "ask": 3.7, "ask_size": 15.0, "iv": 1.0321, "open_interest": 294.0, "volume": 95.0, "delta": -0.4575, "gamma": 0.043, "vega": 0.0352, "theta": -0.1694, "rho": -0.0078, "theo": 3.5879, "change": -0.58, "open": 4.65, "high": 5.4, "low": 3.48, "tick": "down", "last_trade_price": 3.57, "last_trade_time": "2026-08-03T15:59:13", "percent_change": -13.9759, "prev_day_close": 4.15000009536743}, {"option": "DRAM260814C00051500", "bid": 3.35, "bid_size": 219.0, "ask": 3.55, "ask_size": 303.0, "iv": 1.0277, "open_interest": 1050.0, "volume": 47.0, "delta": 0.5209, "gamma": 0.0432, "vega": 0.0354, "theta": -0.1692, "rho": 0.0082, "theo": 3.4913, "change": -0.3, "open": 2.71, "high": 3.8, "low": 2.71, "tick": "no_change", "last_trade_price": 3.55, "last_trade_time": "2026-08-03T15:59:59", "percent_change": -7.79221, "prev_day_close": 3.85000002384186}, {"option": "DRAM260814P00051500", "bid": 3.6, "bid_size": 184.0, "ask": 4.05, "ask_size": 300.0, "iv": 1.0264, "open_interest": 23.0, "volume": 4.0, "delta": -0.4791, "gamma": 0.0433, "vega": 0.0354, "theta": -0.1695, "rho": -0.0082, "theo": 3.8458, "change": -0.595, "open": 4.3, "high": 4.3, "low": 3.77, "tick": "up", "last_trade_price": 3.78, "last_trade_time": "2026-08-03T14:19:33", "percent_change": -13.6, "prev_day_close": 4.375}, {"option": "DRAM260814C00052000", "bid": 3.15, "bid_size": 138.0, "ask": 3.5, "ask_size": 534.0, "iv": 1.0472, "open_interest": 2645.0, "volume": 185.0, "delta": 0.4994, "gamma": 0.0434, "vega": 0.0354, "theta": -0.1689, "rho": 0.0079, "theo": 3.2611, "change": -0.085, "open": 2.45, "high": 3.6, "low": 2.17, "tick": "up", "last_trade_price": 3.44, "last_trade_time": "2026-08-03T15:51:43", "percent_change": -2.41135, "prev_day_close": 3.52499997615814}, {"option": "DRAM260814P00052000", "bid": 3.9, "bid_size": 244.0, "ask": 4.35, "ask_size": 305.0, "iv": 1.0319, "open_interest": 475.0, "volume": 16.0, "delta": -0.5007, "gamma": 0.0435, "vega": 0.0354, "theta": -0.1692, "rho": -0.0084, "theo": 4.1153, "change": -0.545, "open": 6.01, "high": 6.01, "low": 4.13, "tick": "no_change", "last_trade_price": 4.13, "last_trade_time": "2026-08-03T14:26:29", "percent_change": -11.6578, "prev_day_close": 4.67499995231628}, {"option": "DRAM260814C00052500", "bid": 2.86, "bid_size": 492.0, "ask": 3.4, "ask_size": 972.0, "iv": 1.051, "open_interest": 158.0, "volume": 32.0, "delta": 0.4779, "gamma": 0.0435, "vega": 0.0354, "theta": -0.1682, "rho": 0.0076, "theo": 3.0423, "change": -0.315, "open": 2.17, "high": 3.05, "low": 1.75, "tick": "down", "last_trade_price": 3.01, "last_trade_time": "2026-08-03T15:30:09", "percent_change": -9.47368, "prev_day_close": 3.32499992847443}, {"option": "DRAM260814P00052500", "bid": 4.15, "bid_size": 178.0, "ask": 4.75, "ask_size": 440.0, "iv": 1.0414, "open_interest": 37.0, "volume": 11.0, "delta": -0.5222, "gamma": 0.0436, "vega": 0.0354, "theta": -0.1684, "rho": -0.0088, "theo": 4.3963, "change": -0.375, "open": 5.02, "high": 5.33, "low": 4.5, "tick": "down", "last_trade_price": 4.5, "last_trade_time": "2026-08-03T13:30:24", "percent_change": -7.69231, "prev_day_close": 4.875}, {"option": "DRAM260814C00053000", "bid": 2.71, "bid_size": 384.0, "ask": 2.97, "ask_size": 128.0, "iv": 1.025, "open_interest": 764.0, "volume": 210.0, "delta": 0.4567, "gamma": 0.0434, "vega": 0.0352, "theta": -0.1669, "rho": 0.0073, "theo": 2.8348, "change": -0.24, "open": 2.0, "high": 3.05, "low": 1.87, "tick": "up", "last_trade_price": 2.87, "last_trade_time": "2026-08-03T15:59:17", "percent_change": -7.71704, "prev_day_close": 3.11000001430512}, {"option": "DRAM260814P00053000", "bid": 4.5, "bid_size": 201.0, "ask": 4.8, "ask_size": 10.0, "iv": 1.0126, "open_interest": 210.0, "volume": 36.0, "delta": -0.5435, "gamma": 0.0435, "vega": 0.0352, "theta": -0.1671, "rho": -0.0092, "theo": 4.6884, "change": -0.6, "open": 6.28, "high": 6.63, "low": 4.48, "tick": "down", "last_trade_price": 4.65, "last_trade_time": "2026-08-03T15:55:31", "percent_change": -11.4286, "prev_day_close": 5.25}, {"option": "DRAM260814C00053500", "bid": 2.52, "bid_size": 303.0, "ask": 2.88, "ask_size": 652.0, "iv": 1.0387, "open_interest": 84.0, "volume": 41.0, "delta": 0.4356, "gamma": 0.0432, "vega": 0.035, "theta": -0.1652, "rho": 0.007, "theo": 2.6385, "change": -0.215, "open": 1.88, "high": 2.71, "low": 1.88, "tick": "no_change", "last_trade_price": 2.71, "last_trade_time": "2026-08-03T15:49:52", "percent_change": -7.35043, "prev_day_close": 2.92500007152557}, {"option": "DRAM260814P00053500", "bid": 4.75, "bid_size": 131.0, "ask": 5.3, "ask_size": 349.0, "iv": 1.0307, "open_interest": 11.0, "volume": 3.0, "delta": -0.5646, "gamma": 0.0433, "vega": 0.035, "theta": -0.1653, "rho": -0.0096, "theo": 4.9917, "change": -0.545, "open": 4.81, "high": 4.81, "low": 4.73, "tick": "down", "last_trade_price": 4.73, "last_trade_time": "2026-08-03T14:06:53", "percent_change": -10.3318, "prev_day_close": 5.27500009536743}, {"option": "DRAM260814C00054000", "bid": 2.34, "bid_size": 264.0, "ask": 2.74, "ask_size": 899.0, "iv": 1.0441, "open_interest": 492.0, "volume": 135.0, "delta": 0.4149, "gamma": 0.0429, "vega": 0.0346, "theta": -0.1631, "rho": 0.0067, "theo": 2.453, "change": -0.265, "open": 1.64, "high": 2.69, "low": 1.55, "tick": "no_change", "last_trade_price": 2.54, "last_trade_time": "2026-08-03T15:50:01", "percent_change": -9.44741, "prev_day_close": 2.80499994754791}, {"option": "DRAM260814P00054000", "bid": 4.95, "bid_size": 345.0, "ask": 5.65, "ask_size": 332.0, "iv": 1.0172, "open_interest": 187.0, "volume": 47.0, "delta": -0.5854, "gamma": 0.043, "vega": 0.0346, "theta": -0.1632, "rho": -0.0097, "theo": 5.306, "change": -0.465, "open": 7.01, "high": 7.36, "low": 5.2, "tick": "no_change", "last_trade_price": 5.41, "last_trade_time": "2026-08-03T14:54:02", "percent_change": -7.91489, "prev_day_close": 5.875}, {"option": "DRAM260814C00054500", "bid": 2.09, "bid_size": 457.0, "ask": 2.64, "ask_size": 1018.0, "iv": 1.0425, "open_interest": 79.0, "volume": 84.0, "delta": 0.3946, "gamma": 0.0424, "vega": 0.0342, "theta": -0.1606, "rho": 0.0063, "theo": 2.278, "change": -0.37, "open": 1.61, "high": 2.5, "low": 1.61, "tick": "no_change", "last_trade_price": 2.27, "last_trade_time": "2026-08-03T15:49:52", "percent_change": -14.0152, "prev_day_close": 2.63999998569489}, {"option": "DRAM260814P00054500", "bid": 5.35, "bid_size": 99.0, "ask": 5.8, "ask_size": 92.0, "iv": 1.0006, "open_interest": 2.0, "volume": 6.0, "delta": -0.6058, "gamma": 0.0425, "vega": 0.0342, "theta": -0.1606, "rho": -0.0101, "theo": 5.6309, "change": -0.55, "open": 8.45, "high": 8.45, "low": 5.6, "tick": "down", "last_trade_price": 5.6, "last_trade_time": "2026-08-03T14:37:23", "percent_change": -8.94309, "prev_day_close": 6.14999985694885}, {"option": "DRAM260814C00055000", "bid": 2.02, "bid_size": 94.0, "ask": 2.28, "ask_size": 391.0, "iv": 1.0262, "open_interest": 3625.0, "volume": 545.0, "delta": 0.3746, "gamma": 0.0418, "vega": 0.0336, "theta": -0.1577, "rho": 0.006, "theo": 2.1134, "change": -0.225, "open": 1.78, "high": 2.32, "low": 1.4, "tick": "up", "last_trade_price": 2.18, "last_trade_time": "2026-08-03T15:57:58", "percent_change": -9.35551, "prev_day_close": 2.40499997138977}, {"option": "DRAM260814P00055000", "bid": 5.75, "bid_size": 174.0, "ask": 6.1, "ask_size": 13.0, "iv": 1.0031, "open_interest": 1186.0, "volume": 63.0, "delta": -0.6257, "gamma": 0.0419, "vega": 0.0336, "theta": -0.1577, "rho": -0.0104, "theo": 5.966, "change": -0.655, "open": 8.4, "high": 8.4, "low": 5.8, "tick": "up", "last_trade_price": 5.92, "last_trade_time": "2026-08-03T15:57:58", "percent_change": -9.96198, "prev_day_close": 6.57500004768372}, {"option": "DRAM260814C00055500", "bid": 1.79, "bid_size": 545.0, "ask": 2.26, "ask_size": 847.0, "iv": 1.0338, "open_interest": 65.0, "volume": 36.0, "delta": 0.3552, "gamma": 0.0411, "vega": 0.0331, "theta": -0.1545, "rho": 0.0057, "theo": 1.9589, "change": -0.28, "open": 1.29, "high": 2.05, "low": 1.29, "tick": "up", "last_trade_price": 2.02, "last_trade_time": "2026-08-03T15:40:02", "percent_change": -12.1739, "prev_day_close": 2.29999995231628}, {"option": "DRAM260814P00055500", "bid": 5.95, "bid_size": 133.0, "ask": 6.6, "ask_size": 196.0, "iv": 1.0028, "open_interest": 14.0, "volume": 5.0, "delta": -0.6452, "gamma": 0.0412, "vega": 0.033, "theta": -0.1544, "rho": -0.0104, "theo": 6.3112, "change": 0.81, "open": 8.25, "high": 8.25, "low": 7.51, "tick": "down", "last_trade_price": 7.51, "last_trade_time": "2026-08-03T11:28:30", "percent_change": 12.0896, "prev_day_close": 6.69999980926514}, {"option": "DRAM260814C00056000", "bid": 1.73, "bid_size": 10.0, "ask": 1.98, "ask_size": 411.0, "iv": 1.0253, "open_interest": 302.0, "volume": 155.0, "delta": 0.3363, "gamma": 0.0404, "vega": 0.0324, "theta": -0.151, "rho": 0.0054, "theo": 1.8139, "change": -0.31, "open": 1.23, "high": 2.0, "low": 1.2, "tick": "down", "last_trade_price": 1.85, "last_trade_time": "2026-08-03T15:59:03", "percent_change": -14.3519, "prev_day_close": 2.1599999666214}, {"option": "DRAM260814P00056000", "bid": 6.35, "bid_size": 184.0, "ask": 7.0, "ask_size": 179.0, "iv": 1.0154, "open_interest": 149.0, "volume": 59.0, "delta": -0.6642, "gamma": 0.0405, "vega": 0.0323, "theta": -0.1508, "rho": -0.0108, "theo": 6.6662, "change": -0.83, "open": 9.26, "high": 9.26, "low": 6.37, "tick": "down", "last_trade_price": 6.37, "last_trade_time": "2026-08-03T15:54:11", "percent_change": -11.5278, "prev_day_close": 7.19999980926514}, {"option": "DRAM260814C00056500", "bid": 1.6, "bid_size": 14.0, "ask": 1.76, "ask_size": 20.0, "iv": 1.0122, "open_interest": 69.0, "volume": 663.0, "delta": 0.3179, "gamma": 0.0395, "vega": 0.0316, "theta": -0.1472, "rho": 0.0052, "theo": 1.6782, "change": -0.285, "open": 1.22, "high": 1.83, "low": 1.22, "tick": "down", "last_trade_price": 1.72, "last_trade_time": "2026-08-03T15:49:59", "percent_change": -14.2145, "prev_day_close": 2.00499999523163}, {"option": "DRAM260814P00056500", "bid": 6.45, "bid_size": 510.0, "ask": 7.45, "ask_size": 277.0, "iv": 0.986, "open_interest": 171.0, "volume": 0.0, "delta": -0.6826, "gamma": 0.0396, "vega": 0.0316, "theta": -0.147, "rho": -0.0111, "theo": 7.0303, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.54, "last_trade_time": "2026-07-31T11:58:42", "percent_change": 0.0, "prev_day_close": 7.45000004768372}, {"option": "DRAM260814C00057000", "bid": 1.24, "bid_size": 1095.0, "ask": 1.72, "ask_size": 515.0, "iv": 0.9874, "open_interest": 410.0, "volume": 192.0, "delta": 0.3002, "gamma": 0.0385, "vega": 0.0308, "theta": -0.1432, "rho": 0.0049, "theo": 1.5515, "change": -0.305, "open": 1.16, "high": 1.7, "low": 0.98, "tick": "up", "last_trade_price": 1.6, "last_trade_time": "2026-08-03T15:49:52", "percent_change": -16.0105, "prev_day_close": 1.90499997138977}, {"option": "DRAM260814P00057000", "bid": 6.5, "bid_size": 777.0, "ask": 8.2, "ask_size": 428.0, "iv": 0.9934, "open_interest": 213.0, "volume": 70.0, "delta": -0.7004, "gamma": 0.0386, "vega": 0.0308, "theta": -0.1429, "rho": -0.0114, "theo": 7.4033, "change": -0.455, "open": 9.62, "high": 9.81, "low": 7.42, "tick": "no_change", "last_trade_price": 7.42, "last_trade_time": "2026-08-03T14:07:35", "percent_change": -5.77777, "prev_day_close": 7.87499976158142}, {"option": "DRAM260814C00057500", "bid": 1.28, "bid_size": 547.0, "ask": 1.62, "ask_size": 615.0, "iv": 1.0157, "open_interest": 68.0, "volume": 57.0, "delta": 0.2831, "gamma": 0.0375, "vega": 0.03, "theta": -0.1389, "rho": 0.0046, "theo": 1.4333, "change": -0.29, "open": 0.95, "high": 1.5, "low": 0.95, "tick": "no_change", "last_trade_price": 1.49, "last_trade_time": "2026-08-03T15:39:13", "percent_change": -16.2921, "prev_day_close": 1.78000003099442}, {"option": "DRAM260814P00057500", "bid": 7.5, "bid_size": 141.0, "ask": 8.0, "ask_size": 65.0, "iv": 0.9984, "open_interest": 154.0, "volume": 116.0, "delta": -0.7175, "gamma": 0.0376, "vega": 0.03, "theta": -0.1386, "rho": -0.0114, "theo": 7.7852, "change": -0.605, "open": 10.0, "high": 10.0, "low": 7.47, "tick": "up", "last_trade_price": 7.82, "last_trade_time": "2026-08-03T15:36:21", "percent_change": -7.18101, "prev_day_close": 8.42500019073486}, {"option": "DRAM260814C00058000", "bid": 1.1, "bid_size": 811.0, "ask": 1.48, "ask_size": 404.0, "iv": 0.9984, "open_interest": 379.0, "volume": 329.0, "delta": 0.2666, "gamma": 0.0364, "vega": 0.0292, "theta": -0.1346, "rho": 0.0044, "theo": 1.3231, "change": -0.26, "open": 1.0, "high": 1.5, "low": 0.93, "tick": "down", "last_trade_price": 1.37, "last_trade_time": "2026-08-03T15:54:39", "percent_change": -15.9509, "prev_day_close": 1.62999999523163}, {"option": "DRAM260814P00058000", "bid": 7.65, "bid_size": 516.0, "ask": 9.15, "ask_size": 561.0, "iv": 1.086, "open_interest": 145.0, "volume": 38.0, "delta": -0.734, "gamma": 0.0366, "vega": 0.0291, "theta": -0.1342, "rho": -0.0117, "theo": 8.1749, "change": -0.155, "open": 10.54, "high": 10.9, "low": 8.62, "tick": "down", "last_trade_price": 8.62, "last_trade_time": "2026-08-03T13:14:02", "percent_change": -1.76638, "prev_day_close": 8.77500009536743}, {"option": "DRAM260814C00058500", "bid": 1.16, "bid_size": 9.0, "ask": 1.49, "ask_size": 909.0, "iv": 1.0462, "open_interest": 91.0, "volume": 66.0, "delta": 0.2508, "gamma": 0.0353, "vega": 0.0282, "theta": -0.1301, "rho": 0.0041, "theo": 1.2207, "change": -0.36, "open": 0.87, "high": 1.4, "low": 0.87, "tick": "no_change", "last_trade_price": 1.2, "last_trade_time": "2026-08-03T14:59:51", "percent_change": -23.0769, "prev_day_close": 1.56000000238419}, {"option": "DRAM260814P00058500", "bid": 7.95, "bid_size": 252.0, "ask": 9.15, "ask_size": 244.0, "iv": 1.0016, "open_interest": 45.0, "volume": 4.0, "delta": -0.7499, "gamma": 0.0354, "vega": 0.0282, "theta": -0.1296, "rho": -0.0119, "theo": 8.5723, "change": 0.495, "open": 9.4, "high": 9.52, "low": 9.4, "tick": "up", "last_trade_price": 9.52, "last_trade_time": "2026-08-03T11:22:21", "percent_change": 5.48476, "prev_day_close": 9.02500009536743}, {"option": "DRAM260814C00059000", "bid": 0.9, "bid_size": 859.0, "ask": 1.2, "ask_size": 6.0, "iv": 0.9815, "open_interest": 152.0, "volume": 125.0, "delta": 0.2357, "gamma": 0.0341, "vega": 0.0273, "theta": -0.1255, "rho": 0.0039, "theo": 1.1256, "change": -0.165, "open": 0.81, "high": 1.22, "low": 0.75, "tick": "no_change", "last_trade_price": 1.2, "last_trade_time": "2026-08-03T15:51:07", "percent_change": -12.0879, "prev_day_close": 1.36500000953674}, {"option": "DRAM260814P00059000", "bid": 8.5, "bid_size": 295.0, "ask": 9.35, "ask_size": 232.0, "iv": 0.9901, "open_interest": 1434.0, "volume": 339.0, "delta": -0.765, "gamma": 0.0343, "vega": 0.0272, "theta": -0.125, "rho": -0.0118, "theo": 8.9772, "change": -0.35, "open": 11.3, "high": 11.78, "low": 9.0, "tick": "up", "last_trade_price": 9.1, "last_trade_time": "2026-08-03T13:49:42", "percent_change": -3.70371, "prev_day_close": 9.4500002861023}, {"option": "DRAM260814C00059500", "bid": 0.9, "bid_size": 274.0, "ask": 1.13, "ask_size": 42.0, "iv": 1.0012, "open_interest": 17.0, "volume": 29.0, "delta": 0.2213, "gamma": 0.0329, "vega": 0.0264, "theta": -0.1208, "rho": 0.0036, "theo": 1.0373, "change": -0.255, "open": 1.16, "high": 1.16, "low": 0.75, "tick": "up", "last_trade_price": 1.1, "last_trade_time": "2026-08-03T14:40:24", "percent_change": -18.8192, "prev_day_close": 1.35499995946884}, {"option": "DRAM260814P00059500", "bid": 8.95, "bid_size": 90.0, "ask": 9.85, "ask_size": 93.0, "iv": 1.0139, "open_interest": 6.0, "volume": 6.0, "delta": -0.7795, "gamma": 0.0331, "vega": 0.0263, "theta": -0.1203, "rho": -0.0121, "theo": 9.3891, "change": 0.595, "open": 10.01, "high": 10.44, "low": 10.01, "tick": "down", "last_trade_price": 10.22, "last_trade_time": "2026-08-03T12:13:36", "percent_change": 6.18182, "prev_day_close": 9.625}, {"option": "DRAM260814C00060000", "bid": 0.95, "bid_size": 1.0, "ask": 1.03, "ask_size": 11.0, "iv": 1.0236, "open_interest": 5461.0, "volume": 4473.0, "delta": 0.2076, "gamma": 0.0317, "vega": 0.0254, "theta": -0.1162, "rho": 0.0034, "theo": 0.9556, "change": -0.26, "open": 0.8, "high": 1.06, "low": 0.65, "tick": "no_change", "last_trade_price": 0.96, "last_trade_time": "2026-08-03T15:58:55", "percent_change": -21.3115, "prev_day_close": 1.22000002861023}, {"option": "DRAM260814P00060000", "bid": 9.55, "bid_size": 7.0, "ask": 10.1, "ask_size": 156.0, "iv": 1.017, "open_interest": 659.0, "volume": 565.0, "delta": -0.7933, "gamma": 0.0319, "vega": 0.0253, "theta": -0.1156, "rho": -0.0123, "theo": 9.8072, "change": -0.505, "open": 11.8, "high": 12.44, "low": 9.58, "tick": "down", "last_trade_price": 9.77, "last_trade_time": "2026-08-03T15:54:40", "percent_change": -4.91484, "prev_day_close": 10.2749996185303}, {"option": "DRAM260814C00060500", "bid": 0.83, "bid_size": 7.0, "ask": 0.95, "ask_size": 7.0, "iv": 1.0146, "open_interest": 116.0, "volume": 86.0, "delta": 0.1945, "gamma": 0.0305, "vega": 0.0244, "theta": -0.1115, "rho": 0.0032, "theo": 0.88, "change": -0.335, "open": 0.7, "high": 0.95, "low": 0.6, "tick": "down", "last_trade_price": 0.86, "last_trade_time": "2026-08-03T15:18:38", "percent_change": -28.0335, "prev_day_close": 1.19500002264976}, {"option": "DRAM260814P00060500", "bid": 9.55, "bid_size": 555.0, "ask": 10.95, "ask_size": 334.0, "iv": 1.0181, "open_interest": 905.0, "volume": 9.0, "delta": -0.8064, "gamma": 0.0306, "vega": 0.0243, "theta": -0.1109, "rho": -0.0123, "theo": 10.2315, "change": -0.06, "open": 11.42, "high": 11.42, "low": 10.39, "tick": "down", "last_trade_price": 10.39, "last_trade_time": "2026-08-03T14:54:46", "percent_change": -0.574161, "prev_day_close": 10.4499998092651}, {"option": "DRAM260814C00061000", "bid": 0.56, "bid_size": 908.0, "ask": 1.04, "ask_size": 946.0, "iv": 1.0069, "open_interest": 232.0, "volume": 114.0, "delta": 0.1821, "gamma": 0.0293, "vega": 0.0234, "theta": -0.1068, "rho": 0.003, "theo": 0.8101, "change": -0.18, "open": 0.65, "high": 0.93, "low": 0.62, "tick": "no_change", "last_trade_price": 0.87, "last_trade_time": "2026-08-03T14:54:17", "percent_change": -17.1429, "prev_day_close": 1.05000001192093}, {"option": "DRAM260814P00061000", "bid": 10.4, "bid_size": 43.0, "ask": 11.1, "ask_size": 199.0, "iv": 1.0486, "open_interest": 125.0, "volume": 47.0, "delta": -0.8189, "gamma": 0.0294, "vega": 0.0232, "theta": -0.1062, "rho": -0.0122, "theo": 10.6618, "change": -0.375, "open": 13.37, "high": 13.37, "low": 10.56, "tick": "up", "last_trade_price": 10.75, "last_trade_time": "2026-08-03T15:55:36", "percent_change": -3.37079, "prev_day_close": 11.125}, {"option": "DRAM260814C00061500", "bid": 0.52, "bid_size": 926.0, "ask": 0.91, "ask_size": 623.0, "iv": 0.9983, "open_interest": 1294.0, "volume": 206.0, "delta": 0.1704, "gamma": 0.028, "vega": 0.0225, "theta": -0.1022, "rho": 0.0028, "theo": 0.7455, "change": -0.265, "open": 0.6, "high": 0.81, "low": 0.56, "tick": "up", "last_trade_price": 0.8, "last_trade_time": "2026-08-03T15:57:07", "percent_change": -24.8826, "prev_day_close": 1.06499999761581}, {"option": "DRAM260814P00061500", "bid": 10.7, "bid_size": 196.0, "ask": 11.65, "ask_size": 360.0, "iv": 1.0463, "open_interest": 80.0, "volume": 5.0, "delta": -0.8306, "gamma": 0.0282, "vega": 0.0223, "theta": -0.1015, "rho": -0.0124, "theo": 11.0973, "change": -0.675, "open": 10.9, "high": 11.05, "low": 10.84, "tick": "up", "last_trade_price": 11.05, "last_trade_time": "2026-08-03T15:11:27", "percent_change": -5.75693, "prev_day_close": 11.7250003814697}, {"option": "DRAM260814C00062000", "bid": 0.63, "bid_size": 73.0, "ask": 0.75, "ask_size": 1.0, "iv": 1.0149, "open_interest": 525.0, "volume": 335.0, "delta": 0.1593, "gamma": 0.0268, "vega": 0.0215, "theta": -0.0977, "rho": 0.0026, "theo": 0.6859, "change": -0.18, "open": 0.51, "high": 0.74, "low": 0.47, "tick": "down", "last_trade_price": 0.7, "last_trade_time": "2026-08-03T15:59:01", "percent_change": -20.4545, "prev_day_close": 0.879999995231628}, {"option": "DRAM260814P00062000", "bid": 10.95, "bid_size": 294.0, "ask": 12.0, "ask_size": 165.0, "iv": 0.9829, "open_interest": 142.0, "volume": 24.0, "delta": -0.8418, "gamma": 0.027, "vega": 0.0214, "theta": -0.0969, "rho": -0.0127, "theo": 11.5377, "change": 0.885, "open": 13.98, "high": 13.98, "low": 12.1, "tick": "down", "last_trade_price": 12.81, "last_trade_time": "2026-08-03T11:42:12", "percent_change": 7.42138, "prev_day_close": 11.9250001907349}, {"option": "DRAM260814C00062500", "bid": 0.6, "bid_size": 1.0, "ask": 0.82, "ask_size": 836.0, "iv": 1.0519, "open_interest": 185.0, "volume": 64.0, "delta": 0.1488, "gamma": 0.0256, "vega": 0.0206, "theta": -0.0932, "rho": 0.0024, "theo": 0.631, "change": -0.185, "open": 0.59, "high": 0.72, "low": 0.53, "tick": "down", "last_trade_price": 0.65, "last_trade_time": "2026-08-03T15:46:00", "percent_change": -22.1557, "prev_day_close": 0.83500000834465}, {"option": "DRAM260814P00062500", "bid": 11.4, "bid_size": 157.0, "ask": 12.4, "ask_size": 131.0, "iv": 0.9719, "open_interest": 64.0, "volume": 1.0, "delta": -0.8523, "gamma": 0.0258, "vega": 0.0204, "theta": -0.0924, "rho": -0.0124, "theo": 11.9828, "change": 0.015, "open": 12.24, "high": 12.24, "low": 12.24, "tick": "up", "last_trade_price": 12.24, "last_trade_time": "2026-08-03T13:56:36", "percent_change": 0.1227, "prev_day_close": 12.2249999046326}, {"option": "DRAM260814C00063000", "bid": 0.46, "bid_size": 608.0, "ask": 0.64, "ask_size": 9.0, "iv": 0.9996, "open_interest": 245.0, "volume": 137.0, "delta": 0.139, "gamma": 0.0244, "vega": 0.0196, "theta": -0.0888, "rho": 0.0023, "theo": 0.5804, "change": -0.26, "open": 0.5, "high": 0.7, "low": 0.42, "tick": "down", "last_trade_price": 0.61, "last_trade_time": "2026-08-03T15:52:12", "percent_change": -29.8851, "prev_day_close": 0.870000004768372}, {"option": "DRAM260814P00063000", "bid": 11.8, "bid_size": 512.0, "ask": 12.9, "ask_size": 254.0, "iv": 0.9712, "open_interest": 127.0, "volume": 56.0, "delta": -0.8622, "gamma": 0.0246, "vega": 0.0194, "theta": -0.088, "rho": -0.0123, "theo": 12.4325, "change": -0.15, "open": 13.54, "high": 13.91, "low": 12.55, "tick": "no_change", "last_trade_price": 12.55, "last_trade_time": "2026-08-03T15:50:30", "percent_change": -1.1811, "prev_day_close": 12.6999998092651}, {"option": "DRAM260814C00063500", "bid": 0.4, "bid_size": 755.0, "ask": 0.59, "ask_size": 15.0, "iv": 0.9955, "open_interest": 68.0, "volume": 53.0, "delta": 0.1297, "gamma": 0.0232, "vega": 0.0187, "theta": -0.0846, "rho": 0.0021, "theo": 0.5338, "change": -0.28, "open": 0.42, "high": 0.6, "low": 0.42, "tick": "down", "last_trade_price": 0.49, "last_trade_time": "2026-08-03T15:52:12", "percent_change": -36.3636, "prev_day_close": 0.769999980926514}, {"option": "DRAM260814P00063500", "bid": 12.35, "bid_size": 183.0, "ask": 13.45, "ask_size": 235.0, "iv": 1.0242, "open_interest": 46.0, "volume": 1.0, "delta": -0.8716, "gamma": 0.0234, "vega": 0.0186, "theta": -0.0838, "rho": -0.0125, "theo": 12.8861, "change": -0.43, "open": 12.62, "high": 12.62, "low": 12.62, "tick": "down", "last_trade_price": 12.62, "last_trade_time": "2026-08-03T14:01:43", "percent_change": -3.29502, "prev_day_close": 13.0500001907349}, {"option": "DRAM260814C00064000", "bid": 0.41, "bid_size": 514.0, "ask": 0.54, "ask_size": 13.0, "iv": 1.0091, "open_interest": 177.0, "volume": 102.0, "delta": 0.121, "gamma": 0.0221, "vega": 0.0178, "theta": -0.0804, "rho": 0.002, "theo": 0.491, "change": -0.225, "open": 0.45, "high": 0.55, "low": 0.38, "tick": "up", "last_trade_price": 0.51, "last_trade_time": "2026-08-03T15:54:34", "percent_change": -30.6122, "prev_day_close": 0.734999984502792}, {"option": "DRAM260814P00064000", "bid": 12.7, "bid_size": 427.0, "ask": 13.95, "ask_size": 382.0, "iv": 1.0076, "open_interest": 102.0, "volume": 3.0, "delta": -0.8803, "gamma": 0.0223, "vega": 0.0177, "theta": -0.0796, "rho": -0.0127, "theo": 13.3433, "change": 0.95, "open": 15.74, "high": 15.74, "low": 14.55, "tick": "down", "last_trade_price": 14.55, "last_trade_time": "2026-08-03T10:39:34", "percent_change": 6.98529, "prev_day_close": 13.5999999046326}, {"option": "DRAM260814C00064500", "bid": 0.33, "bid_size": 368.0, "ask": 0.51, "ask_size": 38.0, "iv": 1.0007, "open_interest": 40.0, "volume": 16.0, "delta": 0.1128, "gamma": 0.021, "vega": 0.017, "theta": -0.0764, "rho": 0.0019, "theo": 0.4516, "change": -0.26, "open": 0.45, "high": 0.61, "low": 0.35, "tick": "down", "last_trade_price": 0.47, "last_trade_time": "2026-08-03T14:25:00", "percent_change": -35.6164, "prev_day_close": 0.730000019073486}, {"option": "DRAM260814P00064500", "bid": 13.4, "bid_size": 213.0, "ask": 14.3, "ask_size": 164.0, "iv": 1.0468, "open_interest": 150.0, "volume": 4.0, "delta": -0.8886, "gamma": 0.0212, "vega": 0.0168, "theta": -0.0755, "rho": -0.0124, "theo": 13.804, "change": -0.405, "open": 15.12, "high": 15.12, "low": 13.82, "tick": "no_change", "last_trade_price": 13.82, "last_trade_time": "2026-08-03T14:49:46", "percent_change": -2.8471, "prev_day_close": 14.2250003814697}, {"option": "DRAM260814C00065000", "bid": 0.4, "bid_size": 5.0, "ask": 0.45, "ask_size": 10.0, "iv": 1.0275, "open_interest": 2456.0, "volume": 2218.0, "delta": 0.1052, "gamma": 0.0199, "vega": 0.0161, "theta": -0.0725, "rho": 0.0017, "theo": 0.4154, "change": -0.17, "open": 0.4, "high": 0.46, "low": 0.3, "tick": "no_change", "last_trade_price": 0.42, "last_trade_time": "2026-08-03T15:58:38", "percent_change": -28.8136, "prev_day_close": 0.590000003576279}, {"option": "DRAM260814P00065000", "bid": 13.6, "bid_size": 240.0, "ask": 14.75, "ask_size": 91.0, "iv": 0.9586, "open_interest": 228.0, "volume": 14.0, "delta": -0.8963, "gamma": 0.0201, "vega": 0.0158, "theta": -0.0716, "rho": -0.0121, "theo": 14.2681, "change": -0.215, "open": 17.22, "high": 17.22, "low": 14.2, "tick": "up", "last_trade_price": 14.36, "last_trade_time": "2026-08-03T15:45:05", "percent_change": -1.47513, "prev_day_close": 14.5749998092651}, {"option": "DRAM260814C00065500", "bid": 0.15, "bid_size": 1177.0, "ask": 0.62, "ask_size": 1156.0, "iv": 1.0253, "open_interest": 66.0, "volume": 41.0, "delta": 0.098, "gamma": 0.0189, "vega": 0.0153, "theta": -0.0688, "rho": 0.0016, "theo": 0.3821, "change": -0.08, "open": 0.31, "high": 0.45, "low": 0.31, "tick": "up", "last_trade_price": 0.45, "last_trade_time": "2026-08-03T13:25:57", "percent_change": -15.0943, "prev_day_close": 0.530000001192093}, {"option": "DRAM260814P00065500", "bid": 14.0, "bid_size": 39.0, "ask": 15.6, "ask_size": 43.0, "iv": 1.0652, "open_interest": 6.0, "volume": 6.0, "delta": -0.9035, "gamma": 0.0191, "vega": 0.0151, "theta": -0.0679, "rho": -0.0123, "theo": 14.7352, "change": 1.2, "open": 16.96, "high": 17.02, "low": 16.1, "tick": "no_change", "last_trade_price": 16.1, "last_trade_time": "2026-08-03T10:39:15", "percent_change": 8.05369, "prev_day_close": 14.9000000953674}, {"option": "DRAM260814C00066000", "bid": 0.3, "bid_size": 282.0, "ask": 0.4, "ask_size": 60.0, "iv": 1.0242, "open_interest": 226.0, "volume": 62.0, "delta": 0.0913, "gamma": 0.0179, "vega": 0.0145, "theta": -0.0652, "rho": 0.0015, "theo": 0.3515, "change": -0.17, "open": 0.3, "high": 0.39, "low": 0.28, "tick": "down", "last_trade_price": 0.35, "last_trade_time": "2026-08-03T14:52:23", "percent_change": -32.6923, "prev_day_close": 0.519999995827675}, {"option": "DRAM260814P00066000", "bid": 14.55, "bid_size": 39.0, "ask": 16.0, "ask_size": 53.0, "iv": 1.0727, "open_interest": 31.0, "volume": 0.0, "delta": -0.9103, "gamma": 0.0181, "vega": 0.0143, "theta": -0.0643, "rho": -0.0123, "theo": 15.2048, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.13, "last_trade_time": "2026-07-28T13:08:59", "percent_change": 0.0, "prev_day_close": 15.2999997138977}, {"option": "DRAM260814C00066500", "bid": 0.16, "bid_size": 610.0, "ask": 0.4, "ask_size": 327.0, "iv": 0.9943, "open_interest": 37.0, "volume": 18.0, "delta": 0.085, "gamma": 0.0169, "vega": 0.0138, "theta": -0.0617, "rho": 0.0014, "theo": 0.3235, "change": -0.18, "open": 0.3, "high": 0.32, "low": 0.28, "tick": "up", "last_trade_price": 0.32, "last_trade_time": "2026-08-03T13:33:51", "percent_change": -36.0, "prev_day_close": 0.5}, {"option": "DRAM260814P00066500", "bid": 14.75, "bid_size": 39.0, "ask": 16.4, "ask_size": 53.0, "iv": 0.9428, "open_interest": 2.0, "volume": 6.0, "delta": -0.9166, "gamma": 0.0172, "vega": 0.0136, "theta": -0.0608, "rho": -0.0119, "theo": 15.6769, "change": 1.255, "open": 17.96, "high": 17.98, "low": 17.08, "tick": "no_change", "last_trade_price": 17.08, "last_trade_time": "2026-08-03T10:39:15", "percent_change": 7.93049, "prev_day_close": 15.8249998092651}, {"option": "DRAM260814C00067000", "bid": 0.25, "bid_size": 157.0, "ask": 0.39, "ask_size": 471.0, "iv": 1.0464, "open_interest": 107.0, "volume": 30.0, "delta": 0.0792, "gamma": 0.016, "vega": 0.013, "theta": -0.0584, "rho": 0.0013, "theo": 0.2977, "change": -0.15, "open": 0.25, "high": 0.39, "low": 0.23, "tick": "no_change", "last_trade_price": 0.29, "last_trade_time": "2026-08-03T15:54:24", "percent_change": -34.0909, "prev_day_close": 0.439999997615814}, {"option": "DRAM260814P00067000", "bid": 15.45, "bid_size": 39.0, "ask": 16.95, "ask_size": 53.0, "iv": 1.0663, "open_interest": 8.0, "volume": 0.0, "delta": -0.9226, "gamma": 0.0162, "vega": 0.0127, "theta": -0.0574, "rho": -0.0117, "theo": 16.1514, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.58, "last_trade_time": "2026-07-30T10:04:36", "percent_change": 0.0, "prev_day_close": 16.3499994277954}, {"option": "DRAM260814C00067500", "bid": 0.21, "bid_size": 272.0, "ask": 0.44, "ask_size": 1083.0, "iv": 1.0715, "open_interest": 57.0, "volume": 6.0, "delta": 0.0738, "gamma": 0.0151, "vega": 0.0124, "theta": -0.0552, "rho": 0.0012, "theo": 0.2741, "change": -0.115, "open": 0.32, "high": 0.32, "low": 0.32, "tick": "no_change", "last_trade_price": 0.32, "last_trade_time": "2026-08-03T15:54:22", "percent_change": -26.4368, "prev_day_close": 0.434999987483025}, {"option": "DRAM260814P00067500", "bid": 16.05, "bid_size": 9.0, "ask": 17.1, "ask_size": 24.0, "iv": 0.9842, "open_interest": 2.0, "volume": 2.0, "delta": -0.9281, "gamma": 0.0154, "vega": 0.012, "theta": -0.0543, "rho": -0.0116, "theo": 16.6283, "change": -0.43, "open": 16.67, "high": 16.67, "low": 16.67, "tick": "up", "last_trade_price": 16.67, "last_trade_time": "2026-08-03T14:34:14", "percent_change": -2.51462, "prev_day_close": 17.0999994277954}, {"option": "DRAM260814C00068000", "bid": 0.1, "bid_size": 1219.0, "ask": 0.28, "ask_size": 7.0, "iv": 0.9758, "open_interest": 269.0, "volume": 52.0, "delta": 0.0687, "gamma": 0.0143, "vega": 0.0117, "theta": -0.0522, "rho": 0.0011, "theo": 0.2524, "change": -0.115, "open": 0.2, "high": 0.29, "low": 0.13, "tick": "up", "last_trade_price": 0.25, "last_trade_time": "2026-08-03T15:59:12", "percent_change": -31.5069, "prev_day_close": 0.365000009536743}, {"option": "DRAM260814P00068000", "bid": 16.5, "bid_size": 8.0, "ask": 17.95, "ask_size": 53.0, "iv": 1.1279, "open_interest": 36.0, "volume": 2.0, "delta": -0.9332, "gamma": 0.0145, "vega": 0.0114, "theta": -0.0512, "rho": -0.0117, "theo": 17.1069, "change": 0.5, "open": 17.7, "high": 17.7, "low": 17.7, "tick": "up", "last_trade_price": 17.7, "last_trade_time": "2026-08-03T13:35:12", "percent_change": 2.90698, "prev_day_close": 17.1999998092651}, {"option": "DRAM260814C00068500", "bid": 0.03, "bid_size": 3113.0, "ask": 0.57, "ask_size": 1677.0, "iv": 1.0939, "open_interest": 275.0, "volume": 4.0, "delta": 0.0639, "gamma": 0.0135, "vega": 0.0111, "theta": -0.0494, "rho": 0.0011, "theo": 0.2325, "change": -0.02, "open": 0.29, "high": 0.3, "low": 0.21, "tick": "no_change", "last_trade_price": 0.3, "last_trade_time": "2026-08-03T15:52:13", "percent_change": -6.25, "prev_day_close": 0.319999992847443}, {"option": "DRAM260814P00068500", "bid": 16.85, "bid_size": 39.0, "ask": 18.4, "ask_size": 53.0, "iv": 1.0703, "open_interest": 1.0, "volume": 0.0, "delta": -0.9381, "gamma": 0.0137, "vega": 0.0108, "theta": -0.0483, "rho": -0.0118, "theo": 17.5873, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.1, "last_trade_time": "2026-07-27T09:56:06", "percent_change": 0.0, "prev_day_close": 17.6999998092651}, {"option": "DRAM260814C00069000", "bid": 0.1, "bid_size": 784.0, "ask": 0.23, "ask_size": 2.0, "iv": 0.9876, "open_interest": 321.0, "volume": 69.0, "delta": 0.0595, "gamma": 0.0127, "vega": 0.0105, "theta": -0.0466, "rho": 0.001, "theo": 0.2142, "change": -0.075, "open": 0.17, "high": 0.28, "low": 0.17, "tick": "up", "last_trade_price": 0.23, "last_trade_time": "2026-08-03T15:36:02", "percent_change": -24.5902, "prev_day_close": 0.304999999701977}, {"option": "DRAM260814P00069000", "bid": 17.4, "bid_size": 39.0, "ask": 18.7, "ask_size": 53.0, "iv": 1.0188, "open_interest": 30.0, "volume": 0.0, "delta": -0.9425, "gamma": 0.013, "vega": 0.0101, "theta": -0.0456, "rho": -0.0112, "theo": 18.0692, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.11, "last_trade_time": "2026-07-29T11:11:01", "percent_change": 0.0, "prev_day_close": 18.3250007629395}, {"option": "DRAM260814C00069500", "bid": 0.11, "bid_size": 541.0, "ask": 0.29, "ask_size": 646.0, "iv": 1.0438, "open_interest": 89.0, "volume": 0.0, "delta": 0.0554, "gamma": 0.012, "vega": 0.0099, "theta": -0.044, "rho": 0.0009, "theo": 0.1974, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.35, "last_trade_time": "2026-07-31T12:06:14", "percent_change": 0.0, "prev_day_close": 0.314999990165234}, {"option": "DRAM260814P00069500", "bid": 17.85, "bid_size": 39.0, "ask": 19.45, "ask_size": 53.0, "iv": 1.1323, "open_interest": 6.0, "volume": 0.0, "delta": -0.9467, "gamma": 0.0123, "vega": 0.0095, "theta": -0.0429, "rho": -0.0107, "theo": 18.5529, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.28, "last_trade_time": "2026-07-31T15:56:28", "percent_change": 0.0, "prev_day_close": 18.6500005722046}, {"option": "DRAM260814C00070000", "bid": 0.15, "bid_size": 75.0, "ask": 0.21, "ask_size": 93.0, "iv": 1.0415, "open_interest": 2948.0, "volume": 104.0, "delta": 0.0516, "gamma": 0.0113, "vega": 0.0094, "theta": -0.0415, "rho": 0.0008, "theo": 0.182, "change": -0.155, "open": 0.19, "high": 0.35, "low": 0.15, "tick": "up", "last_trade_price": 0.18, "last_trade_time": "2026-08-03T15:58:04", "percent_change": -46.2687, "prev_day_close": 0.334999993443489}, {"option": "DRAM260814P00070000", "bid": 18.65, "bid_size": 14.0, "ask": 19.55, "ask_size": 31.0, "iv": 1.1077, "open_interest": 36.0, "volume": 2.0, "delta": -0.9506, "gamma": 0.0116, "vega": 0.0089, "theta": -0.0404, "rho": -0.0106, "theo": 19.0381, "change": -0.05, "open": 19.1, "high": 19.1, "low": 19.1, "tick": "up", "last_trade_price": 19.1, "last_trade_time": "2026-08-03T15:57:17", "percent_change": -0.261095, "prev_day_close": 19.1499996185303}, {"option": "DRAM260814C00070500", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 1960.0, "iv": 1.0814, "open_interest": 72.0, "volume": 3.0, "delta": 0.048, "gamma": 0.0107, "vega": 0.0088, "theta": -0.0392, "rho": 0.0008, "theo": 0.1679, "change": -0.065, "open": 0.16, "high": 0.2, "low": 0.16, "tick": "up", "last_trade_price": 0.2, "last_trade_time": "2026-08-03T14:58:05", "percent_change": -24.5283, "prev_day_close": 0.265000000596046}, {"option": "DRAM260814P00070500", "bid": 18.2, "bid_size": 39.0, "ask": 20.35, "ask_size": 53.0, "iv": 0.0, "open_interest": 0.0, "volume": 10.0, "delta": -0.9543, "gamma": 0.0109, "vega": 0.0084, "theta": -0.0381, "rho": -0.0107, "theo": 19.5244, "change": 2.185, "open": 21.95, "high": 22.33, "low": 21.81, "tick": "no_change", "last_trade_price": 21.81, "last_trade_time": "2026-08-03T09:38:32", "percent_change": 11.1338, "prev_day_close": 19.625}, {"option": "DRAM260814C00071000", "bid": 0.03, "bid_size": 740.0, "ask": 0.31, "ask_size": 1608.0, "iv": 1.0669, "open_interest": 59.0, "volume": 22.0, "delta": 0.0447, "gamma": 0.01, "vega": 0.0083, "theta": -0.037, "rho": 0.0007, "theo": 0.1549, "change": -0.08, "open": 0.16, "high": 0.21, "low": 0.15, "tick": "no_change", "last_trade_price": 0.19, "last_trade_time": "2026-08-03T15:36:21", "percent_change": -29.6296, "prev_day_close": 0.269999999552965}, {"option": "DRAM260814P00071000", "bid": 19.25, "bid_size": 39.0, "ask": 20.85, "ask_size": 53.0, "iv": 1.0946, "open_interest": 24.0, "volume": 0.0, "delta": -0.9576, "gamma": 0.0103, "vega": 0.0079, "theta": -0.0358, "rho": -0.0108, "theo": 20.0119, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.48, "last_trade_time": "2026-07-30T09:43:43", "percent_change": 0.0, "prev_day_close": 20.0750007629395}, {"option": "DRAM260814C00071500", "bid": 0.0, "bid_size": 0.0, "ask": 0.41, "ask_size": 2056.0, "iv": 1.1235, "open_interest": 45.0, "volume": 43.0, "delta": 0.0417, "gamma": 0.0095, "vega": 0.0079, "theta": -0.0349, "rho": 0.0007, "theo": 0.143, "change": -0.15, "open": 0.17, "high": 0.28, "low": 0.13, "tick": "no_change", "last_trade_price": 0.14, "last_trade_time": "2026-08-03T15:36:21", "percent_change": -51.7241, "prev_day_close": 0.290000005625188}, {"option": "DRAM260814P00071500", "bid": 19.25, "bid_size": 40.0, "ask": 21.35, "ask_size": 53.0, "iv": 0.0, "open_interest": 5.0, "volume": 10.0, "delta": -0.9608, "gamma": 0.0097, "vega": 0.0075, "theta": -0.0337, "rho": -0.0101, "theo": 20.5002, "change": 2.23, "open": 22.95, "high": 23.35, "low": 22.78, "tick": "down", "last_trade_price": 22.78, "last_trade_time": "2026-08-03T09:38:32", "percent_change": 10.8516, "prev_day_close": 20.5500001907349}, {"option": "DRAM260814C00072000", "bid": 0.01, "bid_size": 1099.0, "ask": 0.43, "ask_size": 2024.0, "iv": 1.1572, "open_interest": 108.0, "volume": 25.0, "delta": 0.0388, "gamma": 0.0089, "vega": 0.0074, "theta": -0.0329, "rho": 0.0006, "theo": 0.1321, "change": -0.115, "open": 0.15, "high": 0.18, "low": 0.1, "tick": "no_change", "last_trade_price": 0.16, "last_trade_time": "2026-08-03T15:36:21", "percent_change": -41.8182, "prev_day_close": 0.275000005960464}, {"option": "DRAM260814P00072000", "bid": 20.35, "bid_size": 11.0, "ask": 21.75, "ask_size": 53.0, "iv": 1.1314, "open_interest": 5.0, "volume": 0.0, "delta": -0.9637, "gamma": 0.0092, "vega": 0.0069, "theta": -0.0317, "rho": -0.0099, "theo": 20.9898, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.1, "last_trade_time": "2026-07-28T09:56:09", "percent_change": 0.0, "prev_day_close": 21.0999994277954}, {"option": "DRAM260814C00073000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 1497.0, "iv": 1.0784, "open_interest": 111.0, "volume": 3.0, "delta": 0.0337, "gamma": 0.0079, "vega": 0.0066, "theta": -0.0292, "rho": 0.0006, "theo": 0.1128, "change": -0.07, "open": 0.11, "high": 0.13, "low": 0.11, "tick": "up", "last_trade_price": 0.13, "last_trade_time": "2026-08-03T12:15:59", "percent_change": -35.0, "prev_day_close": 0.199999992735684}, {"option": "DRAM260814P00073000", "bid": 21.2, "bid_size": 43.0, "ask": 22.8, "ask_size": 53.0, "iv": 1.104, "open_interest": 8.0, "volume": 0.0, "delta": -0.969, "gamma": 0.0081, "vega": 0.006, "theta": -0.0279, "rho": -0.0094, "theo": 21.9718, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.29, "last_trade_time": "2026-07-30T10:21:14", "percent_change": 0.0, "prev_day_close": 22.25}, {"option": "DRAM260814C00074000", "bid": 0.01, "bid_size": 443.0, "ask": 0.25, "ask_size": 854.0, "iv": 1.1187, "open_interest": 20.0, "volume": 0.0, "delta": 0.0293, "gamma": 0.007, "vega": 0.0059, "theta": -0.026, "rho": 0.0005, "theo": 0.0965, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.37, "last_trade_time": "2026-07-31T09:30:01", "percent_change": 0.0, "prev_day_close": 0.180000007152557}, {"option": "DRAM260814P00074000", "bid": 22.15, "bid_size": 39.0, "ask": 23.85, "ask_size": 53.0, "iv": 1.1382, "open_interest": 0.0, "volume": 2.0, "delta": -0.9736, "gamma": 0.0073, "vega": 0.0054, "theta": -0.0247, "rho": -0.0094, "theo": 22.9566, "change": 0.78, "open": 23.78, "high": 23.78, "low": 23.78, "tick": "up", "last_trade_price": 23.78, "last_trade_time": "2026-08-03T11:18:27", "percent_change": 3.3913, "prev_day_close": 23.0}, {"option": "DRAM260814C00075000", "bid": 0.06, "bid_size": 7.0, "ask": 0.1, "ask_size": 10.0, "iv": 1.0666, "open_interest": 668.0, "volume": 47.0, "delta": 0.0255, "gamma": 0.0062, "vega": 0.0052, "theta": -0.0231, "rho": 0.0004, "theo": 0.0827, "change": -0.115, "open": 0.11, "high": 0.11, "low": 0.07, "tick": "no_change", "last_trade_price": 0.08, "last_trade_time": "2026-08-03T14:29:51", "percent_change": -58.9744, "prev_day_close": 0.195000000298023}, {"option": "DRAM260814P00075000", "bid": 23.35, "bid_size": 68.0, "ask": 24.45, "ask_size": 47.0, "iv": 0.918, "open_interest": 39.0, "volume": 15.0, "delta": -0.9775, "gamma": 0.0065, "vega": 0.0046, "theta": -0.0217, "rho": -0.0081, "theo": 23.9438, "change": 1.1, "open": 25.1, "high": 25.1, "low": 25.1, "tick": "up", "last_trade_price": 25.1, "last_trade_time": "2026-08-03T11:20:59", "percent_change": 4.58333, "prev_day_close": 24.0}, {"option": "DRAM260814C00080000", "bid": 0.01, "bid_size": 7.0, "ask": 0.05, "ask_size": 5.0, "iv": 1.0669, "open_interest": 5497.0, "volume": 123.0, "delta": 0.0129, "gamma": 0.0034, "vega": 0.0029, "theta": -0.0128, "rho": 0.0002, "theo": 0.0395, "change": -0.06, "open": 0.05, "high": 0.05, "low": 0.02, "tick": "no_change", "last_trade_price": 0.04, "last_trade_time": "2026-08-03T15:46:57", "percent_change": -60.0, "prev_day_close": 0.100000003352761}, {"option": "DRAM260814P00080000", "bid": 28.1, "bid_size": 39.0, "ask": 29.8, "ask_size": 43.0, "iv": 1.2371, "open_interest": 2.0, "volume": 0.0, "delta": -0.9909, "gamma": 0.0037, "vega": 0.002, "theta": -0.0107, "rho": -0.0048, "theo": 28.9079, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.07, "last_trade_time": "2026-07-28T15:57:03", "percent_change": 0.0, "prev_day_close": 28.8999996185303}, {"option": "DRAM260814C00085000", "bid": 0.0, "bid_size": 0.0, "ask": 0.06, "ask_size": 1.0, "iv": 1.1895, "open_interest": 103.0, "volume": 0.0, "delta": 0.0068, "gamma": 0.0019, "vega": 0.0017, "theta": -0.0073, "rho": 0.0001, "theo": 0.0198, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.06, "last_trade_time": "2026-07-31T14:35:38", "percent_change": 0.0, "prev_day_close": 0.129999995231628}, {"option": "DRAM260814P00085000", "bid": 33.1, "bid_size": 40.0, "ask": 34.8, "ask_size": 42.0, "iv": 1.3772, "open_interest": 10.0, "volume": 0.0, "delta": -0.9973, "gamma": 0.0017, "vega": 0.0006, "theta": -0.005, "rho": -0.0019, "theo": 33.8967, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.34, "last_trade_time": "2026-07-31T09:48:36", "percent_change": 0.0, "prev_day_close": 33.9499988555908}, {"option": "DRAM260814C00090000", "bid": 0.0, "bid_size": 0.0, "ask": 0.25, "ask_size": 1950.0, "iv": 1.5676, "open_interest": 2395.0, "volume": 0.0, "delta": 0.0037, "gamma": 0.0011, "vega": 0.001, "theta": -0.0042, "rho": 0.0001, "theo": 0.0105, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.05, "last_trade_time": "2026-07-31T14:32:13", "percent_change": 0.0, "prev_day_close": 0.174999997019768}, {"option": "DRAM260814P00090000", "bid": 38.1, "bid_size": 38.0, "ask": 39.8, "ask_size": 42.0, "iv": 1.5075, "open_interest": 0.0, "volume": 0.0, "delta": -0.9995, "gamma": 0.0004, "vega": 0.0001, "theta": -0.0034, "rho": -0.0003, "theo": 38.8946, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 28.03, "last_trade_time": "2026-07-10T12:26:21", "percent_change": 0.0, "prev_day_close": 38.8999996185303}, {"option": "DRAM260814C00095000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 2216.0, "iv": 1.8138, "open_interest": 103.0, "volume": 0.0, "delta": 0.0021, "gamma": 0.0006, "vega": 0.0006, "theta": -0.0025, "rho": 0.0, "theo": 0.0058, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.04, "last_trade_time": "2026-07-31T14:28:19", "percent_change": 0.0, "prev_day_close": 0.125}, {"option": "DRAM260814P00095000", "bid": 43.1, "bid_size": 38.0, "ask": 44.8, "ask_size": 43.0, "iv": 1.6294, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0032, "rho": 0.0, "theo": 43.8944, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.5, "last_trade_time": "2026-07-10T12:26:21", "percent_change": 0.0, "prev_day_close": 43.8999996185303}, {"option": "DRAM260821C00030000", "bid": 20.7, "bid_size": 117.0, "ask": 22.5, "ask_size": 251.0, "iv": 1.6065, "open_interest": 91.0, "volume": 5.0, "delta": 0.9795, "gamma": 0.0035, "vega": 0.0057, "theta": -0.0162, "rho": 0.0158, "theo": 21.3167, "change": -2.7, "open": 18.8, "high": 18.8, "low": 18.8, "tick": "down", "last_trade_price": 18.8, "last_trade_time": "2026-08-03T09:45:02", "percent_change": -12.5581, "prev_day_close": 21.5}, {"option": "DRAM260821P00030000", "bid": 0.11, "bid_size": 59.0, "ask": 0.13, "ask_size": 8.0, "iv": 1.269, "open_interest": 15002.0, "volume": 686.0, "delta": -0.021, "gamma": 0.0035, "vega": 0.0057, "theta": -0.0192, "rho": -0.0006, "theo": 0.1193, "change": -0.115, "open": 0.24, "high": 0.25, "low": 0.11, "tick": "up", "last_trade_price": 0.13, "last_trade_time": "2026-08-03T15:56:03", "percent_change": -46.9388, "prev_day_close": 0.245000004768372}, {"option": "DRAM260821C00031000", "bid": 19.4, "bid_size": 118.0, "ask": 21.15, "ask_size": 104.0, "iv": 1.1134, "open_interest": 10.0, "volume": 0.0, "delta": 0.9746, "gamma": 0.0042, "vega": 0.0068, "theta": -0.0198, "rho": 0.0161, "theo": 20.3488, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 27.5, "last_trade_time": "2026-07-23T15:41:14", "percent_change": 0.0, "prev_day_close": 20.4250001907349}, {"option": "DRAM260821P00031000", "bid": 0.0, "bid_size": 0.0, "ask": 0.35, "ask_size": 2213.0, "iv": 1.2836, "open_interest": 1031.0, "volume": 68.0, "delta": -0.0258, "gamma": 0.0042, "vega": 0.0068, "theta": -0.0226, "rho": -0.0007, "theo": 0.149, "change": -0.115, "open": 0.28, "high": 0.34, "low": 0.17, "tick": "down", "last_trade_price": 0.17, "last_trade_time": "2026-08-03T13:30:23", "percent_change": -40.3509, "prev_day_close": 0.285000003874302}, {"option": "DRAM260821C00032000", "bid": 18.35, "bid_size": 90.0, "ask": 20.15, "ask_size": 87.0, "iv": 0.9828, "open_interest": 2.0, "volume": 0.0, "delta": 0.9688, "gamma": 0.0051, "vega": 0.008, "theta": -0.0238, "rho": 0.0165, "theo": 19.3874, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.2, "last_trade_time": "2026-07-29T10:44:01", "percent_change": 0.0, "prev_day_close": 19.5250005722046}, {"option": "DRAM260821P00032000", "bid": 0.17, "bid_size": 30.0, "ask": 0.31, "ask_size": 997.0, "iv": 1.2848, "open_interest": 163.0, "volume": 58.0, "delta": -0.0317, "gamma": 0.0051, "vega": 0.0081, "theta": -0.0265, "rho": -0.0009, "theo": 0.1853, "change": -0.115, "open": 0.32, "high": 0.37, "low": 0.2, "tick": "down", "last_trade_price": 0.2, "last_trade_time": "2026-08-03T14:55:44", "percent_change": -36.5079, "prev_day_close": 0.315000005066395}, {"option": "DRAM260821C00033000", "bid": 17.5, "bid_size": 122.0, "ask": 19.15, "ask_size": 107.0, "iv": 1.07, "open_interest": 0.0, "volume": 0.0, "delta": 0.9619, "gamma": 0.0061, "vega": 0.0095, "theta": -0.0282, "rho": 0.0168, "theo": 18.4336, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.6000003814697}, {"option": "DRAM260821P00033000", "bid": 0.03, "bid_size": 2167.0, "ask": 0.3, "ask_size": 770.0, "iv": 1.1324, "open_interest": 558.0, "volume": 207.0, "delta": -0.0386, "gamma": 0.0061, "vega": 0.0095, "theta": -0.0308, "rho": -0.0011, "theo": 0.2292, "change": -0.13, "open": 0.36, "high": 0.38, "low": 0.22, "tick": "no_change", "last_trade_price": 0.25, "last_trade_time": "2026-08-03T15:44:57", "percent_change": -34.2105, "prev_day_close": 0.379999995231628}, {"option": "DRAM260821C00034000", "bid": 16.45, "bid_size": 126.0, "ask": 18.2, "ask_size": 97.0, "iv": 1.0034, "open_interest": 1.0, "volume": 1.0, "delta": 0.9538, "gamma": 0.0072, "vega": 0.0111, "theta": -0.0331, "rho": 0.0171, "theo": 17.4888, "change": -0.86, "open": 16.79, "high": 16.79, "low": 16.79, "tick": "up", "last_trade_price": 16.79, "last_trade_time": "2026-08-03T13:09:19", "percent_change": -4.87252, "prev_day_close": 17.6499996185303}, {"option": "DRAM260821P00034000", "bid": 0.1, "bid_size": 1619.0, "ask": 0.35, "ask_size": 596.0, "iv": 1.1336, "open_interest": 14124.0, "volume": 30.0, "delta": -0.0467, "gamma": 0.0072, "vega": 0.0111, "theta": -0.0356, "rho": -0.0013, "theo": 0.2821, "change": -0.17, "open": 0.5, "high": 0.5, "low": 0.29, "tick": "down", "last_trade_price": 0.3, "last_trade_time": "2026-08-03T14:56:06", "percent_change": -36.1702, "prev_day_close": 0.470000013709068}, {"option": "DRAM260821C00035000", "bid": 16.3, "bid_size": 14.0, "ask": 17.0, "ask_size": 111.0, "iv": 1.2421, "open_interest": 27.0, "volume": 4.0, "delta": 0.9444, "gamma": 0.0084, "vega": 0.0128, "theta": -0.0384, "rho": 0.0174, "theo": 16.5545, "change": -0.2, "open": 14.41, "high": 16.8, "low": 14.41, "tick": "down", "last_trade_price": 16.5, "last_trade_time": "2026-08-03T15:34:49", "percent_change": -1.1976, "prev_day_close": 16.6999998092651}, {"option": "DRAM260821P00035000", "bid": 0.29, "bid_size": 296.0, "ask": 0.4, "ask_size": 138.0, "iv": 1.1709, "open_interest": 3365.0, "volume": 217.0, "delta": -0.0561, "gamma": 0.0085, "vega": 0.0128, "theta": -0.0408, "rho": -0.0016, "theo": 0.3456, "change": -0.18, "open": 0.68, "high": 0.68, "low": 0.34, "tick": "no_change", "last_trade_price": 0.35, "last_trade_time": "2026-08-03T15:50:08", "percent_change": -33.9623, "prev_day_close": 0.530000001192093}, {"option": "DRAM260821C00036000", "bid": 15.0, "bid_size": 69.0, "ask": 15.9, "ask_size": 10.0, "iv": 1.0126, "open_interest": 5.0, "volume": 1.0, "delta": 0.9334, "gamma": 0.0099, "vega": 0.0147, "theta": -0.0442, "rho": 0.0176, "theo": 15.6324, "change": -0.295, "open": 15.53, "high": 15.53, "low": 15.53, "tick": "up", "last_trade_price": 15.53, "last_trade_time": "2026-08-03T15:56:43", "percent_change": -1.86414, "prev_day_close": 15.8249998092651}, {"option": "DRAM260821P00036000", "bid": 0.4, "bid_size": 127.0, "ask": 0.52, "ask_size": 782.0, "iv": 1.1806, "open_interest": 410.0, "volume": 448.0, "delta": -0.0671, "gamma": 0.0099, "vega": 0.0148, "theta": -0.0464, "rho": -0.0019, "theo": 0.4212, "change": -0.245, "open": 0.69, "high": 0.69, "low": 0.42, "tick": "down", "last_trade_price": 0.42, "last_trade_time": "2026-08-03T13:45:11", "percent_change": -36.8421, "prev_day_close": 0.665000021457672}, {"option": "DRAM260821C00037000", "bid": 14.2, "bid_size": 73.0, "ask": 15.3, "ask_size": 86.0, "iv": 1.1542, "open_interest": 1.0, "volume": 0.0, "delta": 0.9208, "gamma": 0.0114, "vega": 0.0168, "theta": -0.0503, "rho": 0.0177, "theo": 14.7242, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.25, "last_trade_time": "2026-07-27T09:57:40", "percent_change": 0.0, "prev_day_close": 14.9749999046326}, {"option": "DRAM260821P00037000", "bid": 0.47, "bid_size": 1.0, "ask": 0.78, "ask_size": 1523.0, "iv": 1.2043, "open_interest": 185.0, "volume": 34.0, "delta": -0.0797, "gamma": 0.0114, "vega": 0.0168, "theta": -0.0524, "rho": -0.0023, "theo": 0.5109, "change": -0.26, "open": 0.8, "high": 0.8, "low": 0.49, "tick": "up", "last_trade_price": 0.54, "last_trade_time": "2026-08-03T15:26:58", "percent_change": -32.5, "prev_day_close": 0.800000011920929}, {"option": "DRAM260821C00038000", "bid": 12.95, "bid_size": 81.0, "ask": 14.7, "ask_size": 126.0, "iv": 1.1202, "open_interest": 0.0, "volume": 0.0, "delta": 0.9065, "gamma": 0.0131, "vega": 0.019, "theta": -0.0568, "rho": 0.0178, "theo": 13.8321, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.1000003814697}, {"option": "DRAM260821P00038000", "bid": 0.55, "bid_size": 210.0, "ask": 0.75, "ask_size": 821.0, "iv": 1.1414, "open_interest": 662.0, "volume": 81.0, "delta": -0.0941, "gamma": 0.0131, "vega": 0.0191, "theta": -0.0588, "rho": -0.0027, "theo": 0.6165, "change": -0.2, "open": 0.98, "high": 1.0, "low": 0.58, "tick": "up", "last_trade_price": 0.63, "last_trade_time": "2026-08-03T14:49:08", "percent_change": -24.0964, "prev_day_close": 0.830000013113022}, {"option": "DRAM260821C00039000", "bid": 12.4, "bid_size": 249.0, "ask": 13.45, "ask_size": 221.0, "iv": 1.0943, "open_interest": 0.0, "volume": 0.0, "delta": 0.8902, "gamma": 0.0149, "vega": 0.0214, "theta": -0.0635, "rho": 0.0178, "theo": 12.9578, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 13.25}, {"option": "DRAM260821P00039000", "bid": 0.65, "bid_size": 283.0, "ask": 0.78, "ask_size": 53.0, "iv": 1.0979, "open_interest": 352.0, "volume": 23.0, "delta": -0.1104, "gamma": 0.0149, "vega": 0.0214, "theta": -0.0654, "rho": -0.0031, "theo": 0.7402, "change": -0.255, "open": 1.11, "high": 1.11, "low": 0.71, "tick": "no_change", "last_trade_price": 0.73, "last_trade_time": "2026-08-03T15:48:19", "percent_change": -25.8883, "prev_day_close": 0.984999984502792}, {"option": "DRAM260821C00040000", "bid": 11.9, "bid_size": 12.0, "ask": 12.25, "ask_size": 14.0, "iv": 1.0843, "open_interest": 1162.0, "volume": 94.0, "delta": 0.872, "gamma": 0.0168, "vega": 0.0238, "theta": -0.0704, "rho": 0.0178, "theo": 12.1039, "change": 0.325, "open": 10.9, "high": 12.5, "low": 9.5, "tick": "up", "last_trade_price": 12.45, "last_trade_time": "2026-08-03T15:58:27", "percent_change": 2.68041, "prev_day_close": 12.125}, {"option": "DRAM260821P00040000", "bid": 0.83, "bid_size": 87.0, "ask": 0.92, "ask_size": 108.0, "iv": 1.0926, "open_interest": 18660.0, "volume": 1466.0, "delta": -0.1287, "gamma": 0.0168, "vega": 0.0239, "theta": -0.0722, "rho": -0.0036, "theo": 0.8842, "change": -0.28, "open": 1.13, "high": 1.41, "low": 0.84, "tick": "up", "last_trade_price": 0.88, "last_trade_time": "2026-08-03T15:59:18", "percent_change": -24.1379, "prev_day_close": 1.16000002622604}, {"option": "DRAM260821C00041000", "bid": 11.0, "bid_size": 141.0, "ask": 11.7, "ask_size": 320.0, "iv": 1.1133, "open_interest": 10.0, "volume": 2.0, "delta": 0.8518, "gamma": 0.0188, "vega": 0.0263, "theta": -0.0774, "rho": 0.0177, "theo": 11.2723, "change": -0.15, "open": 11.5, "high": 11.5, "low": 11.5, "tick": "up", "last_trade_price": 11.5, "last_trade_time": "2026-08-03T15:37:22", "percent_change": -1.28755, "prev_day_close": 11.6499996185303}, {"option": "DRAM260821P00041000", "bid": 0.89, "bid_size": 648.0, "ask": 1.13, "ask_size": 353.0, "iv": 1.0684, "open_interest": 530.0, "volume": 44.0, "delta": -0.149, "gamma": 0.0188, "vega": 0.0263, "theta": -0.0791, "rho": -0.0042, "theo": 1.0507, "change": -0.345, "open": 1.56, "high": 1.56, "low": 0.98, "tick": "down", "last_trade_price": 1.0, "last_trade_time": "2026-08-03T15:59:22", "percent_change": -25.6506, "prev_day_close": 1.34499996900558}, {"option": "DRAM260821C00042000", "bid": 10.1, "bid_size": 292.0, "ask": 10.8, "ask_size": 198.0, "iv": 1.0668, "open_interest": 18.0, "volume": 0.0, "delta": 0.8295, "gamma": 0.0208, "vega": 0.0289, "theta": -0.0844, "rho": 0.0175, "theo": 10.4657, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.32, "last_trade_time": "2026-07-31T15:55:56", "percent_change": 0.0, "prev_day_close": 10.5250000953674}, {"option": "DRAM260821P00042000", "bid": 1.15, "bid_size": 256.0, "ask": 1.34, "ask_size": 370.0, "iv": 1.0732, "open_interest": 7290.0, "volume": 214.0, "delta": -0.1713, "gamma": 0.0208, "vega": 0.0289, "theta": -0.0859, "rho": -0.0048, "theo": 1.2421, "change": -0.38, "open": 1.83, "high": 2.0, "low": 1.18, "tick": "up", "last_trade_price": 1.26, "last_trade_time": "2026-08-03T15:59:22", "percent_change": -23.1707, "prev_day_close": 1.63999998569489}, {"option": "DRAM260821C00043000", "bid": 9.15, "bid_size": 455.0, "ask": 10.15, "ask_size": 253.0, "iv": 1.0498, "open_interest": 9.0, "volume": 0.0, "delta": 0.8052, "gamma": 0.0228, "vega": 0.0314, "theta": -0.0912, "rho": 0.0173, "theo": 9.6859, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.63, "last_trade_time": "2026-07-31T15:55:56", "percent_change": 0.0, "prev_day_close": 9.7999997138977}, {"option": "DRAM260821P00043000", "bid": 1.3, "bid_size": 582.0, "ask": 1.49, "ask_size": 2.0, "iv": 1.0402, "open_interest": 730.0, "volume": 50.0, "delta": -0.1957, "gamma": 0.0229, "vega": 0.0314, "theta": -0.0926, "rho": -0.0055, "theo": 1.4605, "change": -0.435, "open": 2.12, "high": 2.3, "low": 1.35, "tick": "up", "last_trade_price": 1.39, "last_trade_time": "2026-08-03T15:59:01", "percent_change": -23.8356, "prev_day_close": 1.82499998807907}, {"option": "DRAM260821C00044000", "bid": 8.4, "bid_size": 473.0, "ask": 9.25, "ask_size": 214.0, "iv": 1.0181, "open_interest": 8.0, "volume": 0.0, "delta": 0.7788, "gamma": 0.0248, "vega": 0.0338, "theta": -0.0977, "rho": 0.0169, "theo": 8.9355, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.35, "last_trade_time": "2026-07-31T15:34:27", "percent_change": 0.0, "prev_day_close": 9.09999990463257}, {"option": "DRAM260821P00044000", "bid": 1.48, "bid_size": 448.0, "ask": 1.7, "ask_size": 3.0, "iv": 1.0158, "open_interest": 2774.0, "volume": 662.0, "delta": -0.2221, "gamma": 0.0249, "vega": 0.0338, "theta": -0.099, "rho": -0.0062, "theo": 1.7084, "change": -0.375, "open": 2.6, "high": 2.6, "low": 1.64, "tick": "up", "last_trade_price": 1.74, "last_trade_time": "2026-08-03T15:56:39", "percent_change": -17.7305, "prev_day_close": 2.11500000953674}, {"option": "DRAM260821C00045000", "bid": 7.7, "bid_size": 1120.0, "ask": 8.7, "ask_size": 750.0, "iv": 1.0372, "open_interest": 344.0, "volume": 96.0, "delta": 0.7506, "gamma": 0.0268, "vega": 0.0361, "theta": -0.1038, "rho": 0.0165, "theo": 8.2161, "change": -0.175, "open": 6.8, "high": 8.1, "low": 6.75, "tick": "up", "last_trade_price": 8.1, "last_trade_time": "2026-08-03T15:20:40", "percent_change": -2.1148, "prev_day_close": 8.27500009536743}, {"option": "DRAM260821P00045000", "bid": 1.95, "bid_size": 1.0, "ask": 2.0, "ask_size": 1.0, "iv": 1.0382, "open_interest": 27216.0, "volume": 11058.0, "delta": -0.2504, "gamma": 0.0268, "vega": 0.0361, "theta": -0.105, "rho": -0.007, "theo": 1.9874, "change": -0.375, "open": 2.81, "high": 3.05, "low": 1.83, "tick": "up", "last_trade_price": 2.0, "last_trade_time": "2026-08-03T15:59:57", "percent_change": -15.7895, "prev_day_close": 2.375}, {"option": "DRAM260821C00046000", "bid": 7.35, "bid_size": 32.0, "ask": 7.8, "ask_size": 335.0, "iv": 1.0447, "open_interest": 119.0, "volume": 0.0, "delta": 0.7207, "gamma": 0.0286, "vega": 0.0382, "theta": -0.1094, "rho": 0.016, "theo": 7.53, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.7, "last_trade_time": "2026-07-31T10:09:16", "percent_change": 0.0, "prev_day_close": 7.77499985694885}, {"option": "DRAM260821P00046000", "bid": 2.01, "bid_size": 941.0, "ask": 2.5, "ask_size": 754.0, "iv": 1.0212, "open_interest": 4303.0, "volume": 75.0, "delta": -0.2804, "gamma": 0.0287, "vega": 0.0383, "theta": -0.1105, "rho": -0.0078, "theo": 2.2999, "change": -0.3, "open": 3.2, "high": 3.4, "low": 2.16, "tick": "no_change", "last_trade_price": 2.34, "last_trade_time": "2026-08-03T15:44:05", "percent_change": -11.3636, "prev_day_close": 2.63999998569489}, {"option": "DRAM260821C00046500", "bid": 6.2, "bid_size": 1468.0, "ask": 8.35, "ask_size": 1469.0, "iv": 1.048, "open_interest": 1554.0, "volume": 8.0, "delta": 0.7052, "gamma": 0.0294, "vega": 0.0392, "theta": -0.1119, "rho": 0.0158, "theo": 7.1998, "change": -0.725, "open": 5.15, "high": 7.0, "low": 5.15, "tick": "up", "last_trade_price": 7.0, "last_trade_time": "2026-08-03T15:28:55", "percent_change": -9.38511, "prev_day_close": 7.72499990463257}, {"option": "DRAM260821P00046500", "bid": 2.17, "bid_size": 1008.0, "ask": 2.8, "ask_size": 1330.0, "iv": 1.033, "open_interest": 673.0, "volume": 45.0, "delta": -0.296, "gamma": 0.0295, "vega": 0.0393, "theta": -0.113, "rho": -0.0082, "theo": 2.469, "change": -0.325, "open": 3.47, "high": 3.58, "low": 2.36, "tick": "up", "last_trade_price": 2.58, "last_trade_time": "2026-08-03T15:16:20", "percent_change": -11.1876, "prev_day_close": 2.90500009059906}, {"option": "DRAM260821C00047000", "bid": 6.5, "bid_size": 922.0, "ask": 7.8, "ask_size": 1158.0, "iv": 1.0924, "open_interest": 874.0, "volume": 5.0, "delta": 0.6893, "gamma": 0.0302, "vega": 0.0402, "theta": -0.1143, "rho": 0.0155, "theo": 6.8784, "change": -0.475, "open": 5.27, "high": 6.55, "low": 5.26, "tick": "up", "last_trade_price": 6.55, "last_trade_time": "2026-08-03T14:06:14", "percent_change": -6.76157, "prev_day_close": 7.02500009536743}, {"option": "DRAM260821P00047000", "bid": 2.36, "bid_size": 754.0, "ask": 2.81, "ask_size": 527.0, "iv": 1.0096, "open_interest": 2080.0, "volume": 177.0, "delta": -0.312, "gamma": 0.0303, "vega": 0.0402, "theta": -0.1153, "rho": -0.0087, "theo": 2.6467, "change": -0.515, "open": 3.8, "high": 3.8, "low": 2.57, "tick": "down", "last_trade_price": 2.58, "last_trade_time": "2026-08-03T15:54:02", "percent_change": -16.6397, "prev_day_close": 3.09500002861023}, {"option": "DRAM260821C00047500", "bid": 5.55, "bid_size": 1507.0, "ask": 6.95, "ask_size": 637.0, "iv": 0.9439, "open_interest": 1007.0, "volume": 104.0, "delta": 0.6731, "gamma": 0.031, "vega": 0.041, "theta": -0.1164, "rho": 0.0152, "theo": 6.5661, "change": -0.225, "open": 4.75, "high": 6.5, "low": 4.75, "tick": "no_change", "last_trade_price": 6.5, "last_trade_time": "2026-08-03T13:41:18", "percent_change": -3.34572, "prev_day_close": 6.72499990463257}, {"option": "DRAM260821P00047500", "bid": 2.49, "bid_size": 975.0, "ask": 3.05, "ask_size": 870.0, "iv": 1.0058, "open_interest": 520.0, "volume": 73.0, "delta": -0.3282, "gamma": 0.0311, "vega": 0.0411, "theta": -0.1174, "rho": -0.0091, "theo": 2.8336, "change": -0.53, "open": 4.1, "high": 4.1, "low": 2.77, "tick": "down", "last_trade_price": 2.77, "last_trade_time": "2026-08-03T15:54:02", "percent_change": -16.0606, "prev_day_close": 3.29999995231628}, {"option": "DRAM260821C00048000", "bid": 6.0, "bid_size": 508.0, "ask": 6.4, "ask_size": 165.0, "iv": 1.0027, "open_interest": 782.0, "volume": 302.0, "delta": 0.6566, "gamma": 0.0317, "vega": 0.0418, "theta": -0.1184, "rho": 0.0149, "theo": 6.2629, "change": -0.315, "open": 4.8, "high": 6.4, "low": 4.5, "tick": "up", "last_trade_price": 6.21, "last_trade_time": "2026-08-03T15:55:33", "percent_change": -4.82759, "prev_day_close": 6.52500009536743}, {"option": "DRAM260821P00048000", "bid": 2.9, "bid_size": 362.0, "ask": 3.2, "ask_size": 442.0, "iv": 1.0225, "open_interest": 838.0, "volume": 126.0, "delta": -0.3448, "gamma": 0.0318, "vega": 0.0419, "theta": -0.1193, "rho": -0.0095, "theo": 3.0301, "change": -0.305, "open": 4.08, "high": 4.55, "low": 2.95, "tick": "up", "last_trade_price": 3.12, "last_trade_time": "2026-08-03T15:22:30", "percent_change": -8.90511, "prev_day_close": 3.42499995231628}, {"option": "DRAM260821C00048500", "bid": 5.75, "bid_size": 366.0, "ask": 6.05, "ask_size": 16.0, "iv": 0.9982, "open_interest": 912.0, "volume": 95.0, "delta": 0.6399, "gamma": 0.0324, "vega": 0.0425, "theta": -0.1202, "rho": 0.0146, "theo": 5.9688, "change": -0.25, "open": 4.5, "high": 6.15, "low": 4.5, "tick": "no_change", "last_trade_price": 6.05, "last_trade_time": "2026-08-03T15:55:00", "percent_change": -3.96825, "prev_day_close": 6.29999995231628}, {"option": "DRAM260821P00048500", "bid": 3.0, "bid_size": 613.0, "ask": 3.5, "ask_size": 673.0, "iv": 1.0178, "open_interest": 922.0, "volume": 37.0, "delta": -0.3616, "gamma": 0.0325, "vega": 0.0426, "theta": -0.121, "rho": -0.01, "theo": 3.2354, "change": -0.31, "open": 4.4, "high": 4.59, "low": 3.22, "tick": "up", "last_trade_price": 3.29, "last_trade_time": "2026-08-03T15:16:51", "percent_change": -8.61111, "prev_day_close": 3.60000002384186}, {"option": "DRAM260821C00049000", "bid": 4.8, "bid_size": 1383.0, "ask": 6.2, "ask_size": 770.0, "iv": 0.9685, "open_interest": 123.0, "volume": 550.0, "delta": 0.6229, "gamma": 0.033, "vega": 0.0432, "theta": -0.1217, "rho": 0.0143, "theo": 5.684, "change": -0.27, "open": 4.35, "high": 5.89, "low": 4.15, "tick": "up", "last_trade_price": 5.63, "last_trade_time": "2026-08-03T15:01:05", "percent_change": -4.57627, "prev_day_close": 5.89999985694885}, {"option": "DRAM260821P00049000", "bid": 3.35, "bid_size": 121.0, "ask": 3.5, "ask_size": 8.0, "iv": 1.0054, "open_interest": 2439.0, "volume": 78.0, "delta": -0.3786, "gamma": 0.0331, "vega": 0.0432, "theta": -0.1224, "rho": -0.0105, "theo": 3.4499, "change": -0.5, "open": 5.0, "high": 5.0, "low": 3.4, "tick": "no_change", "last_trade_price": 3.4, "last_trade_time": "2026-08-03T15:44:36", "percent_change": -12.8205, "prev_day_close": 3.89999997615814}, {"option": "DRAM260821C00049500", "bid": 5.1, "bid_size": 656.0, "ask": 5.8, "ask_size": 642.0, "iv": 1.0176, "open_interest": 103.0, "volume": 32.0, "delta": 0.6058, "gamma": 0.0335, "vega": 0.0438, "theta": -0.123, "rho": 0.014, "theo": 5.4086, "change": -0.27, "open": 4.58, "high": 5.67, "low": 4.25, "tick": "down", "last_trade_price": 5.38, "last_trade_time": "2026-08-03T15:01:05", "percent_change": -4.77876, "prev_day_close": 5.65000009536743}, {"option": "DRAM260821P00049500", "bid": 3.3, "bid_size": 1002.0, "ask": 3.8, "ask_size": 148.0, "iv": 0.9799, "open_interest": 272.0, "volume": 114.0, "delta": -0.3958, "gamma": 0.0336, "vega": 0.0438, "theta": -0.1237, "rho": -0.0108, "theo": 3.6739, "change": -0.55, "open": 5.0, "high": 5.0, "low": 3.65, "tick": "no_change", "last_trade_price": 3.8, "last_trade_time": "2026-08-03T14:50:36", "percent_change": -12.6437, "prev_day_close": 4.35000014305115}, {"option": "DRAM260821C00050000", "bid": 5.0, "bid_size": 121.0, "ask": 5.3, "ask_size": 358.0, "iv": 1.007, "open_interest": 4729.0, "volume": 1234.0, "delta": 0.5885, "gamma": 0.034, "vega": 0.0442, "theta": -0.124, "rho": 0.0136, "theo": 5.1426, "change": 0.0, "open": 5.0, "high": 5.41, "low": 3.51, "tick": "up", "last_trade_price": 5.3, "last_trade_time": "2026-08-03T15:57:21", "percent_change": 8.99693e-07, "prev_day_close": 5.29999995231628}, {"option": "DRAM260821P00050000", "bid": 3.9, "bid_size": 5.0, "ask": 3.95, "ask_size": 1.0, "iv": 1.0092, "open_interest": 37876.0, "volume": 379.0, "delta": -0.4131, "gamma": 0.0341, "vega": 0.0442, "theta": -0.1247, "rho": -0.0113, "theo": 3.9077, "change": -0.575, "open": 5.3, "high": 5.85, "low": 3.7, "tick": "no_change", "last_trade_price": 3.85, "last_trade_time": "2026-08-03T15:55:00", "percent_change": -12.9944, "prev_day_close": 4.42500019073486}, {"option": "DRAM260821C00050500", "bid": 4.7, "bid_size": 337.0, "ask": 5.15, "ask_size": 597.0, "iv": 1.0114, "open_interest": 136.0, "volume": 50.0, "delta": 0.5712, "gamma": 0.0344, "vega": 0.0446, "theta": -0.1248, "rho": 0.0133, "theo": 4.886, "change": -0.42, "open": 4.0, "high": 5.05, "low": 3.74, "tick": "down", "last_trade_price": 4.78, "last_trade_time": "2026-08-03T15:20:20", "percent_change": -8.07692, "prev_day_close": 5.20000004768372}, {"option": "DRAM260821P00050500", "bid": 3.75, "bid_size": 912.0, "ask": 4.3, "ask_size": 237.0, "iv": 0.9745, "open_interest": 373.0, "volume": 103.0, "delta": -0.4306, "gamma": 0.0345, "vega": 0.0446, "theta": -0.1254, "rho": -0.0118, "theo": 4.1506, "change": -0.32, "open": 5.55, "high": 5.55, "low": 4.18, "tick": "no_change", "last_trade_price": 4.18, "last_trade_time": "2026-08-03T15:46:06", "percent_change": -7.11111, "prev_day_close": 4.5}, {"option": "DRAM260821C00051000", "bid": 4.5, "bid_size": 229.0, "ask": 4.85, "ask_size": 559.0, "iv": 1.0082, "open_interest": 653.0, "volume": 183.0, "delta": 0.5538, "gamma": 0.0347, "vega": 0.0449, "theta": -0.1254, "rho": 0.0129, "theo": 4.6386, "change": -0.25, "open": 3.7, "high": 4.87, "low": 3.5, "tick": "down", "last_trade_price": 4.6, "last_trade_time": "2026-08-03T15:58:30", "percent_change": -5.15464, "prev_day_close": 4.84999990463257}, {"option": "DRAM260821P00051000", "bid": 4.2, "bid_size": 567.0, "ask": 4.75, "ask_size": 975.0, "iv": 1.0162, "open_interest": 1290.0, "volume": 116.0, "delta": -0.448, "gamma": 0.0348, "vega": 0.0449, "theta": -0.126, "rho": -0.0122, "theo": 4.4027, "change": -0.45, "open": 6.12, "high": 6.12, "low": 4.4, "tick": "down", "last_trade_price": 4.4, "last_trade_time": "2026-08-03T15:40:48", "percent_change": -9.27835, "prev_day_close": 4.85000014305115}, {"option": "DRAM260821C00051500", "bid": 4.15, "bid_size": 595.0, "ask": 4.6, "ask_size": 470.0, "iv": 0.9921, "open_interest": 84.0, "volume": 44.0, "delta": 0.5364, "gamma": 0.0349, "vega": 0.0452, "theta": -0.1258, "rho": 0.0126, "theo": 4.4006, "change": -0.225, "open": 3.36, "high": 4.7, "low": 3.3, "tick": "up", "last_trade_price": 4.4, "last_trade_time": "2026-08-03T15:57:29", "percent_change": -4.86486, "prev_day_close": 4.625}, {"option": "DRAM260821P00051500", "bid": 4.3, "bid_size": 817.0, "ask": 5.0, "ask_size": 544.0, "iv": 0.9946, "open_interest": 224.0, "volume": 100.0, "delta": -0.4655, "gamma": 0.0351, "vega": 0.0451, "theta": -0.1263, "rho": -0.0126, "theo": 4.6643, "change": 0.25, "open": 5.3, "high": 5.3, "low": 5.3, "tick": "up", "last_trade_price": 5.3, "last_trade_time": "2026-08-03T11:20:55", "percent_change": 4.9505, "prev_day_close": 5.04999995231628}, {"option": "DRAM260821C00052000", "bid": 4.05, "bid_size": 128.0, "ask": 4.4, "ask_size": 474.0, "iv": 1.0128, "open_interest": 1217.0, "volume": 124.0, "delta": 0.519, "gamma": 0.0351, "vega": 0.0453, "theta": -0.1259, "rho": 0.0122, "theo": 4.172, "change": -0.21, "open": 2.95, "high": 4.5, "low": 2.95, "tick": "up", "last_trade_price": 4.24, "last_trade_time": "2026-08-03T15:50:42", "percent_change": -4.7191, "prev_day_close": 4.45000004768372}, {"option": "DRAM260821P00052000", "bid": 4.65, "bid_size": 501.0, "ask": 5.1, "ask_size": 163.0, "iv": 0.9822, "open_interest": 1603.0, "volume": 89.0, "delta": -0.483, "gamma": 0.0353, "vega": 0.0453, "theta": -0.1264, "rho": -0.0131, "theo": 4.9357, "change": -0.475, "open": 6.9, "high": 6.9, "low": 4.8, "tick": "up", "last_trade_price": 4.95, "last_trade_time": "2026-08-03T15:38:47", "percent_change": -8.75576, "prev_day_close": 5.42499995231628}, {"option": "DRAM260821C00052500", "bid": 3.7, "bid_size": 745.0, "ask": 4.25, "ask_size": 844.0, "iv": 0.9985, "open_interest": 271.0, "volume": 5.0, "delta": 0.5016, "gamma": 0.0352, "vega": 0.0453, "theta": -0.1258, "rho": 0.0118, "theo": 3.9525, "change": -0.38, "open": 3.0, "high": 4.1, "low": 3.0, "tick": "down", "last_trade_price": 3.87, "last_trade_time": "2026-08-03T15:13:56", "percent_change": -8.94118, "prev_day_close": 4.25}, {"option": "DRAM260821P00052500", "bid": 5.0, "bid_size": 373.0, "ask": 5.55, "ask_size": 584.0, "iv": 1.0066, "open_interest": 181.0, "volume": 1.0, "delta": -0.5004, "gamma": 0.0354, "vega": 0.0453, "theta": -0.1262, "rho": -0.0135, "theo": 5.2158, "change": -0.625, "open": 5.25, "high": 5.25, "low": 5.25, "tick": "down", "last_trade_price": 5.25, "last_trade_time": "2026-08-03T14:46:08", "percent_change": -10.6383, "prev_day_close": 5.875}, {"option": "DRAM260821C00053000", "bid": 3.55, "bid_size": 621.0, "ask": 3.9, "ask_size": 417.0, "iv": 0.9879, "open_interest": 27209.0, "volume": 136.0, "delta": 0.4844, "gamma": 0.0353, "vega": 0.0453, "theta": -0.1255, "rho": 0.0115, "theo": 3.7419, "change": -0.245, "open": 2.9, "high": 4.03, "low": 2.61, "tick": "down", "last_trade_price": 3.73, "last_trade_time": "2026-08-03T15:56:16", "percent_change": -6.16352, "prev_day_close": 3.97499990463257}, {"option": "DRAM260821P00053000", "bid": 5.15, "bid_size": 620.0, "ask": 5.85, "ask_size": 491.0, "iv": 0.9905, "open_interest": 759.0, "volume": 161.0, "delta": -0.5177, "gamma": 0.0354, "vega": 0.0453, "theta": -0.1258, "rho": -0.0139, "theo": 5.5049, "change": -0.51, "open": 6.1, "high": 6.13, "low": 5.49, "tick": "down", "last_trade_price": 5.49, "last_trade_time": "2026-08-03T14:27:00", "percent_change": -8.5, "prev_day_close": 6.0}, {"option": "DRAM260821C00053500", "bid": 3.35, "bid_size": 431.0, "ask": 3.9, "ask_size": 1124.0, "iv": 1.0086, "open_interest": 233.0, "volume": 45.0, "delta": 0.4674, "gamma": 0.0352, "vega": 0.0452, "theta": -0.1249, "rho": 0.0111, "theo": 3.5403, "change": -0.485, "open": 2.69, "high": 3.72, "low": 2.69, "tick": "down", "last_trade_price": 3.49, "last_trade_time": "2026-08-03T15:12:09", "percent_change": -12.2013, "prev_day_close": 3.97499990463257}, {"option": "DRAM260821P00053500", "bid": 5.45, "bid_size": 449.0, "ask": 6.1, "ask_size": 425.0, "iv": 0.9837, "open_interest": 172.0, "volume": 103.0, "delta": -0.5349, "gamma": 0.0354, "vega": 0.0451, "theta": -0.1252, "rho": -0.0143, "theo": 5.8029, "change": -0.25, "open": 5.7, "high": 5.96, "low": 5.7, "tick": "down", "last_trade_price": 5.95, "last_trade_time": "2026-08-03T14:54:02", "percent_change": -4.03226, "prev_day_close": 6.20000004768372}, {"option": "DRAM260821C00054000", "bid": 3.25, "bid_size": 125.0, "ask": 3.55, "ask_size": 647.0, "iv": 0.9999, "open_interest": 7105.0, "volume": 151.0, "delta": 0.4505, "gamma": 0.0351, "vega": 0.045, "theta": -0.1241, "rho": 0.0107, "theo": 3.3476, "change": -0.175, "open": 2.75, "high": 3.4, "low": 2.75, "tick": "no_change", "last_trade_price": 3.4, "last_trade_time": "2026-08-03T15:39:49", "percent_change": -4.89511, "prev_day_close": 3.57500004768372}, {"option": "DRAM260821P00054000", "bid": 5.75, "bid_size": 650.0, "ask": 6.3, "ask_size": 154.0, "iv": 0.9692, "open_interest": 1419.0, "volume": 9.0, "delta": -0.5518, "gamma": 0.0353, "vega": 0.0449, "theta": -0.1244, "rho": -0.0148, "theo": 6.1104, "change": -0.35, "open": 8.1, "high": 8.1, "low": 6.25, "tick": "down", "last_trade_price": 6.25, "last_trade_time": "2026-08-03T15:32:50", "percent_change": -5.30303, "prev_day_close": 6.60000014305115}, {"option": "DRAM260821C00054500", "bid": 3.0, "bid_size": 527.0, "ask": 3.3, "ask_size": 303.0, "iv": 0.9838, "open_interest": 152.0, "volume": 26.0, "delta": 0.4338, "gamma": 0.035, "vega": 0.0447, "theta": -0.1232, "rho": 0.0104, "theo": 3.1634, "change": -0.375, "open": 2.71, "high": 3.28, "low": 2.71, "tick": "down", "last_trade_price": 3.1, "last_trade_time": "2026-08-03T15:11:07", "percent_change": -10.7914, "prev_day_close": 3.47500002384186}, {"option": "DRAM260821P00054500", "bid": 6.2, "bid_size": 235.0, "ask": 6.8, "ask_size": 481.0, "iv": 1.0034, "open_interest": 39.0, "volume": 0.0, "delta": -0.5686, "gamma": 0.0351, "vega": 0.0446, "theta": -0.1233, "rho": -0.015, "theo": 6.4261, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.2, "last_trade_time": "2026-07-31T11:49:36", "percent_change": 0.0, "prev_day_close": 6.84999990463257}, {"option": "DRAM260821C00055000", "bid": 2.91, "bid_size": 20.0, "ask": 3.05, "ask_size": 1.0, "iv": 0.9838, "open_interest": 11682.0, "volume": 1561.0, "delta": 0.4173, "gamma": 0.0347, "vega": 0.0444, "theta": -0.122, "rho": 0.01, "theo": 2.9875, "change": -0.235, "open": 2.15, "high": 3.2, "low": 2.02, "tick": "down", "last_trade_price": 2.99, "last_trade_time": "2026-08-03T15:59:29", "percent_change": -7.28682, "prev_day_close": 3.22499990463257}, {"option": "DRAM260821P00055000", "bid": 6.6, "bid_size": 234.0, "ask": 6.95, "ask_size": 173.0, "iv": 0.9911, "open_interest": 14037.0, "volume": 170.0, "delta": -0.5852, "gamma": 0.0349, "vega": 0.0443, "theta": -0.1221, "rho": -0.0155, "theo": 6.7501, "change": -0.605, "open": 8.9, "high": 8.9, "low": 6.6, "tick": "up", "last_trade_price": 6.72, "last_trade_time": "2026-08-03T15:56:39", "percent_change": -8.25939, "prev_day_close": 7.32500004768372}, {"option": "DRAM260821C00055500", "bid": 2.7, "bid_size": 254.0, "ask": 2.98, "ask_size": 385.0, "iv": 0.9889, "open_interest": 243.0, "volume": 14.0, "delta": 0.4011, "gamma": 0.0344, "vega": 0.0439, "theta": -0.1206, "rho": 0.0096, "theo": 2.8199, "change": -0.3, "open": 2.05, "high": 3.0, "low": 2.0, "tick": "down", "last_trade_price": 2.85, "last_trade_time": "2026-08-03T15:39:09", "percent_change": -9.52381, "prev_day_close": 3.15000009536743}, {"option": "DRAM260821P00055500", "bid": 6.8, "bid_size": 267.0, "ask": 7.4, "ask_size": 386.0, "iv": 0.9883, "open_interest": 175.0, "volume": 0.0, "delta": -0.6015, "gamma": 0.0346, "vega": 0.0438, "theta": -0.1207, "rho": -0.016, "theo": 7.0822, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.4, "last_trade_time": "2026-07-31T14:30:42", "percent_change": 0.0, "prev_day_close": 7.52500009536743}, {"option": "DRAM260821C00056000", "bid": 2.5, "bid_size": 531.0, "ask": 2.99, "ask_size": 1210.0, "iv": 1.0027, "open_interest": 4248.0, "volume": 170.0, "delta": 0.3853, "gamma": 0.0341, "vega": 0.0434, "theta": -0.1191, "rho": 0.0093, "theo": 2.6604, "change": -0.48, "open": 1.85, "high": 2.76, "low": 1.85, "tick": "down", "last_trade_price": 2.51, "last_trade_time": "2026-08-03T15:12:21", "percent_change": -16.0535, "prev_day_close": 2.99000000953674}, {"option": "DRAM260821P00056000", "bid": 6.7, "bid_size": 849.0, "ask": 7.6, "ask_size": 129.0, "iv": 0.9198, "open_interest": 349.0, "volume": 146.0, "delta": -0.6174, "gamma": 0.0343, "vega": 0.0433, "theta": -0.1191, "rho": -0.0162, "theo": 7.423, "change": -0.525, "open": 8.11, "high": 8.3, "low": 7.3, "tick": "down", "last_trade_price": 7.3, "last_trade_time": "2026-08-03T14:13:43", "percent_change": -6.70927, "prev_day_close": 7.82500004768372}, {"option": "DRAM260821C00056500", "bid": 2.35, "bid_size": 531.0, "ask": 2.69, "ask_size": 650.0, "iv": 0.985, "open_interest": 137.0, "volume": 49.0, "delta": 0.3697, "gamma": 0.0337, "vega": 0.0429, "theta": -0.1174, "rho": 0.0089, "theo": 2.5086, "change": -0.255, "open": 1.92, "high": 2.64, "low": 1.85, "tick": "no_change", "last_trade_price": 2.6, "last_trade_time": "2026-08-03T15:51:35", "percent_change": -8.9317, "prev_day_close": 2.8549998998642}, {"option": "DRAM260821P00056500", "bid": 7.5, "bid_size": 235.0, "ask": 8.15, "ask_size": 222.0, "iv": 0.9948, "open_interest": 23.0, "volume": 0.0, "delta": -0.6331, "gamma": 0.0339, "vega": 0.0427, "theta": -0.1174, "rho": -0.0165, "theo": 7.7714, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.75, "last_trade_time": "2026-07-31T13:24:26", "percent_change": 0.0, "prev_day_close": 8.02500009536743}, {"option": "DRAM260821C00057000", "bid": 2.35, "bid_size": 25.0, "ask": 2.59, "ask_size": 597.0, "iv": 1.0065, "open_interest": 2871.0, "volume": 255.0, "delta": 0.3545, "gamma": 0.0332, "vega": 0.0423, "theta": -0.1156, "rho": 0.0086, "theo": 2.3643, "change": -0.31, "open": 1.65, "high": 2.52, "low": 1.65, "tick": "up", "last_trade_price": 2.45, "last_trade_time": "2026-08-03T15:51:34", "percent_change": -11.2319, "prev_day_close": 2.75999999046326}, {"option": "DRAM260821P00057000", "bid": 7.8, "bid_size": 529.0, "ask": 8.7, "ask_size": 750.0, "iv": 1.0106, "open_interest": 710.0, "volume": 14.0, "delta": -0.6484, "gamma": 0.0334, "vega": 0.0421, "theta": -0.1155, "rho": -0.0167, "theo": 8.1272, "change": -0.325, "open": 9.7, "high": 9.95, "low": 8.35, "tick": "down", "last_trade_price": 8.35, "last_trade_time": "2026-08-03T13:38:51", "percent_change": -3.74639, "prev_day_close": 8.6749997138977}, {"option": "DRAM260821C00057500", "bid": 2.0, "bid_size": 689.0, "ask": 2.58, "ask_size": 1119.0, "iv": 0.9959, "open_interest": 230.0, "volume": 371.0, "delta": 0.3396, "gamma": 0.0327, "vega": 0.0416, "theta": -0.1136, "rho": 0.0082, "theo": 2.2273, "change": -0.235, "open": 1.65, "high": 2.4, "low": 1.65, "tick": "up", "last_trade_price": 2.28, "last_trade_time": "2026-08-03T15:38:12", "percent_change": -9.34394, "prev_day_close": 2.51499998569489}, {"option": "DRAM260821P00057500", "bid": 8.2, "bid_size": 306.0, "ask": 8.75, "ask_size": 175.0, "iv": 0.9772, "open_interest": 131.0, "volume": 0.0, "delta": -0.6634, "gamma": 0.0329, "vega": 0.0414, "theta": -0.1135, "rho": -0.0172, "theo": 8.4902, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 8.89, "last_trade_time": "2026-07-30T13:02:02", "percent_change": 0.0, "prev_day_close": 8.9500002861023}, {"option": "DRAM260821C00058000", "bid": 1.98, "bid_size": 324.0, "ask": 2.28, "ask_size": 745.0, "iv": 0.9882, "open_interest": 3376.0, "volume": 123.0, "delta": 0.3251, "gamma": 0.0322, "vega": 0.0409, "theta": -0.1115, "rho": 0.0079, "theo": 2.0974, "change": -0.2, "open": 1.6, "high": 2.25, "low": 1.58, "tick": "up", "last_trade_price": 2.1, "last_trade_time": "2026-08-03T15:49:16", "percent_change": -8.69565, "prev_day_close": 2.30000007152557}, {"option": "DRAM260821P00058000", "bid": 8.4, "bid_size": 787.0, "ask": 9.45, "ask_size": 693.0, "iv": 0.9961, "open_interest": 523.0, "volume": 18.0, "delta": -0.6779, "gamma": 0.0324, "vega": 0.0406, "theta": -0.1114, "rho": -0.0174, "theo": 8.8605, "change": -0.475, "open": 11.18, "high": 11.18, "low": 8.65, "tick": "up", "last_trade_price": 8.8, "last_trade_time": "2026-08-03T14:13:44", "percent_change": -5.12129, "prev_day_close": 9.27500009536743}, {"option": "DRAM260821C00058500", "bid": 1.86, "bid_size": 305.0, "ask": 2.2, "ask_size": 884.0, "iv": 0.9937, "open_interest": 30.0, "volume": 27.0, "delta": 0.311, "gamma": 0.0316, "vega": 0.0401, "theta": -0.1094, "rho": 0.0076, "theo": 1.9744, "change": -0.325, "open": 1.55, "high": 1.91, "low": 1.48, "tick": "no_change", "last_trade_price": 1.91, "last_trade_time": "2026-08-03T13:52:42", "percent_change": -14.5414, "prev_day_close": 2.23500001430511}, {"option": "DRAM260821P00058500", "bid": 8.9, "bid_size": 239.0, "ask": 9.7, "ask_size": 188.0, "iv": 0.9954, "open_interest": 17.0, "volume": 0.0, "delta": -0.6921, "gamma": 0.0318, "vega": 0.0399, "theta": -0.1091, "rho": -0.0176, "theo": 9.2378, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.42, "last_trade_time": "2026-07-31T13:08:43", "percent_change": 0.0, "prev_day_close": 9.5}, {"option": "DRAM260821C00059000", "bid": 1.77, "bid_size": 198.0, "ask": 2.05, "ask_size": 769.0, "iv": 0.9928, "open_interest": 4212.0, "volume": 98.0, "delta": 0.2974, "gamma": 0.031, "vega": 0.0393, "theta": -0.107, "rho": 0.0073, "theo": 1.8578, "change": -0.32, "open": 1.59, "high": 1.95, "low": 1.38, "tick": "no_change", "last_trade_price": 1.85, "last_trade_time": "2026-08-03T15:51:04", "percent_change": -14.7465, "prev_day_close": 2.16999995708466}, {"option": "DRAM260821P00059000", "bid": 9.05, "bid_size": 686.0, "ask": 10.1, "ask_size": 412.0, "iv": 0.9675, "open_interest": 418.0, "volume": 6.0, "delta": -0.7059, "gamma": 0.0312, "vega": 0.0391, "theta": -0.1068, "rho": -0.0178, "theo": 9.6216, "change": 0.415, "open": 12.01, "high": 12.01, "low": 10.11, "tick": "up", "last_trade_price": 10.39, "last_trade_time": "2026-08-03T12:43:33", "percent_change": 4.1604, "prev_day_close": 9.97499990463257}, {"option": "DRAM260821C00059500", "bid": 1.65, "bid_size": 236.0, "ask": 1.93, "ask_size": 665.0, "iv": 0.9903, "open_interest": 39.0, "volume": 52.0, "delta": 0.2841, "gamma": 0.0303, "vega": 0.0385, "theta": -0.1047, "rho": 0.007, "theo": 1.7475, "change": -0.29, "open": 1.52, "high": 1.88, "low": 1.42, "tick": "up", "last_trade_price": 1.88, "last_trade_time": "2026-08-03T15:52:36", "percent_change": -13.3641, "prev_day_close": 2.1700000166893}, {"option": "DRAM260821P00059500", "bid": 9.7, "bid_size": 271.0, "ask": 10.2, "ask_size": 24.0, "iv": 0.9631, "open_interest": 7.0, "volume": 0.0, "delta": -0.7193, "gamma": 0.0306, "vega": 0.0382, "theta": -0.1044, "rho": -0.018, "theo": 10.0116, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.72, "last_trade_time": "2026-07-28T09:57:52", "percent_change": 0.0, "prev_day_close": 10.5750002861023}, {"option": "DRAM260821C00060000", "bid": 1.63, "bid_size": 200.0, "ask": 1.68, "ask_size": 1.0, "iv": 0.9756, "open_interest": 73384.0, "volume": 53427.0, "delta": 0.2712, "gamma": 0.0296, "vega": 0.0376, "theta": -0.1022, "rho": 0.0066, "theo": 1.6432, "change": -0.245, "open": 1.22, "high": 1.8, "low": 1.12, "tick": "down", "last_trade_price": 1.64, "last_trade_time": "2026-08-03T15:59:30", "percent_change": -12.9973, "prev_day_close": 1.88499999046326}, {"option": "DRAM260821P00060000", "bid": 10.0, "bid_size": 532.0, "ask": 10.6, "ask_size": 43.0, "iv": 0.95, "open_interest": 51085.0, "volume": 666.0, "delta": -0.7323, "gamma": 0.0299, "vega": 0.0374, "theta": -0.1019, "rho": -0.0185, "theo": 10.4074, "change": -0.2, "open": 12.77, "high": 12.77, "low": 10.15, "tick": "up", "last_trade_price": 10.75, "last_trade_time": "2026-08-03T15:59:37", "percent_change": -1.82649, "prev_day_close": 10.9500002861023}, {"option": "DRAM260821C00061000", "bid": 1.22, "bid_size": 957.0, "ask": 1.7, "ask_size": 1054.0, "iv": 0.9815, "open_interest": 16381.0, "volume": 116.0, "delta": 0.2468, "gamma": 0.0282, "vega": 0.0358, "theta": -0.0972, "rho": 0.0061, "theo": 1.4519, "change": -0.22, "open": 1.0, "high": 1.55, "low": 1.0, "tick": "down", "last_trade_price": 1.42, "last_trade_time": "2026-08-03T15:24:39", "percent_change": -13.4146, "prev_day_close": 1.63999998569489}, {"option": "DRAM260821P00061000", "bid": 10.4, "bid_size": 606.0, "ask": 11.85, "ask_size": 585.0, "iv": 0.9529, "open_interest": 188.0, "volume": 8.0, "delta": -0.7569, "gamma": 0.0285, "vega": 0.0355, "theta": -0.0967, "rho": -0.0186, "theo": 11.2172, "change": 0.555, "open": 12.28, "high": 12.28, "low": 12.23, "tick": "down", "last_trade_price": 12.23, "last_trade_time": "2026-08-03T11:53:29", "percent_change": 4.75375, "prev_day_close": 11.6750001907349}, {"option": "DRAM260821C00062000", "bid": 1.08, "bid_size": 832.0, "ask": 1.41, "ask_size": 588.0, "iv": 0.9688, "open_interest": 44685.0, "volume": 260.0, "delta": 0.2241, "gamma": 0.0268, "vega": 0.034, "theta": -0.092, "rho": 0.0055, "theo": 1.2815, "change": -0.185, "open": 1.0, "high": 1.36, "low": 0.95, "tick": "down", "last_trade_price": 1.29, "last_trade_time": "2026-08-03T15:49:59", "percent_change": -12.5424, "prev_day_close": 1.47499996423721}, {"option": "DRAM260821P00062000", "bid": 10.8, "bid_size": 631.0, "ask": 12.65, "ask_size": 334.0, "iv": 0.8785, "open_interest": 217.0, "volume": 23.0, "delta": -0.7798, "gamma": 0.027, "vega": 0.0336, "theta": -0.0914, "rho": -0.0188, "theo": 12.0479, "change": -0.25, "open": 13.55, "high": 13.55, "low": 12.04, "tick": "down", "last_trade_price": 12.1, "last_trade_time": "2026-08-03T15:34:52", "percent_change": -2.02429, "prev_day_close": 12.3499999046326}, {"option": "DRAM260821C00063000", "bid": 1.0, "bid_size": 427.0, "ask": 1.19, "ask_size": 72.0, "iv": 0.9501, "open_interest": 495.0, "volume": 109.0, "delta": 0.203, "gamma": 0.0252, "vega": 0.032, "theta": -0.0867, "rho": 0.005, "theo": 1.1303, "change": -0.33, "open": 0.83, "high": 1.2, "low": 0.83, "tick": "down", "last_trade_price": 1.0, "last_trade_time": "2026-08-03T15:59:53", "percent_change": -24.812, "prev_day_close": 1.3299999833107}, {"option": "DRAM260821P00063000", "bid": 12.1, "bid_size": 579.0, "ask": 13.5, "ask_size": 414.0, "iv": 0.9488, "open_interest": 176.0, "volume": 6.0, "delta": -0.801, "gamma": 0.0255, "vega": 0.0316, "theta": -0.086, "rho": -0.0193, "theo": 12.8979, "change": 0.095, "open": 14.45, "high": 14.45, "low": 13.32, "tick": "down", "last_trade_price": 13.32, "last_trade_time": "2026-08-03T13:25:15", "percent_change": 0.718334, "prev_day_close": 13.2250003814697}, {"option": "DRAM260821C00064000", "bid": 0.77, "bid_size": 353.0, "ask": 1.09, "ask_size": 94.0, "iv": 0.959, "open_interest": 5280.0, "volume": 102.0, "delta": 0.1837, "gamma": 0.0237, "vega": 0.0301, "theta": -0.0815, "rho": 0.0045, "theo": 0.9964, "change": -0.18, "open": 0.79, "high": 1.03, "low": 0.7, "tick": "no_change", "last_trade_price": 1.01, "last_trade_time": "2026-08-03T15:53:00", "percent_change": -15.126, "prev_day_close": 1.18999999761581}, {"option": "DRAM260821P00064000", "bid": 13.1, "bid_size": 529.0, "ask": 14.2, "ask_size": 187.0, "iv": 0.9414, "open_interest": 944.0, "volume": 2.0, "delta": -0.8207, "gamma": 0.024, "vega": 0.0296, "theta": -0.0807, "rho": -0.0189, "theo": 13.7654, "change": 0.77, "open": 16.15, "high": 16.15, "low": 15.02, "tick": "down", "last_trade_price": 15.02, "last_trade_time": "2026-08-03T11:44:17", "percent_change": 5.40351, "prev_day_close": 14.25}, {"option": "DRAM260821C00065000", "bid": 0.76, "bid_size": 423.0, "ask": 0.96, "ask_size": 219.0, "iv": 0.9764, "open_interest": 29251.0, "volume": 1600.0, "delta": 0.1659, "gamma": 0.0222, "vega": 0.0282, "theta": -0.0763, "rho": 0.0041, "theo": 0.878, "change": -0.21, "open": 0.7, "high": 0.96, "low": 0.6, "tick": "down", "last_trade_price": 0.86, "last_trade_time": "2026-08-03T15:56:48", "percent_change": -19.6262, "prev_day_close": 1.06999999284744}, {"option": "DRAM260821P00065000", "bid": 14.2, "bid_size": 572.0, "ask": 15.3, "ask_size": 612.0, "iv": 1.019, "open_interest": 1661.0, "volume": 19.0, "delta": -0.8387, "gamma": 0.0225, "vega": 0.0277, "theta": -0.0754, "rho": -0.0193, "theo": 14.6483, "change": -0.3, "open": 17.12, "high": 17.5, "low": 14.58, "tick": "down", "last_trade_price": 14.75, "last_trade_time": "2026-08-03T15:45:05", "percent_change": -1.99336, "prev_day_close": 15.0500001907349}, {"option": "DRAM260821C00066000", "bid": 0.75, "bid_size": 1.0, "ask": 0.84, "ask_size": 180.0, "iv": 0.9926, "open_interest": 2502.0, "volume": 43.0, "delta": 0.1496, "gamma": 0.0207, "vega": 0.0264, "theta": -0.0712, "rho": 0.0037, "theo": 0.7736, "change": -0.22, "open": 0.6, "high": 0.79, "low": 0.57, "tick": "down", "last_trade_price": 0.75, "last_trade_time": "2026-08-03T15:59:36", "percent_change": -22.6804, "prev_day_close": 0.97000002861023}, {"option": "DRAM260821P00066000", "bid": 14.25, "bid_size": 790.0, "ask": 16.1, "ask_size": 384.0, "iv": 0.8166, "open_interest": 202.0, "volume": 2.0, "delta": -0.8551, "gamma": 0.021, "vega": 0.0257, "theta": -0.0702, "rho": -0.019, "theo": 15.5456, "change": 0.33, "open": 18.1, "high": 18.1, "low": 16.18, "tick": "down", "last_trade_price": 16.18, "last_trade_time": "2026-08-03T12:47:55", "percent_change": 2.08202, "prev_day_close": 15.8499999046326}, {"option": "DRAM260821C00067000", "bid": 0.6, "bid_size": 452.0, "ask": 0.73, "ask_size": 132.0, "iv": 0.9796, "open_interest": 4317.0, "volume": 23.0, "delta": 0.1348, "gamma": 0.0192, "vega": 0.0246, "theta": -0.0663, "rho": 0.0034, "theo": 0.6815, "change": -0.145, "open": 0.53, "high": 0.7, "low": 0.5, "tick": "up", "last_trade_price": 0.7, "last_trade_time": "2026-08-03T15:53:06", "percent_change": -17.1598, "prev_day_close": 0.844999969005585}, {"option": "DRAM260821P00067000", "bid": 15.65, "bid_size": 398.0, "ask": 17.35, "ask_size": 392.0, "iv": 1.005, "open_interest": 81.0, "volume": 11.0, "delta": -0.8702, "gamma": 0.0196, "vega": 0.0239, "theta": -0.0652, "rho": -0.0188, "theo": 16.4555, "change": 0.65, "open": 19.05, "high": 19.05, "low": 17.3, "tick": "down", "last_trade_price": 17.3, "last_trade_time": "2026-08-03T10:52:18", "percent_change": 3.9039, "prev_day_close": 16.6500000953674}, {"option": "DRAM260821C00068000", "bid": 0.56, "bid_size": 41.0, "ask": 0.63, "ask_size": 52.0, "iv": 0.9862, "open_interest": 15790.0, "volume": 98.0, "delta": 0.1213, "gamma": 0.0178, "vega": 0.0228, "theta": -0.0616, "rho": 0.003, "theo": 0.6004, "change": -0.235, "open": 0.5, "high": 0.65, "low": 0.45, "tick": "up", "last_trade_price": 0.6, "last_trade_time": "2026-08-03T15:46:19", "percent_change": -28.1437, "prev_day_close": 0.834999978542328}, {"option": "DRAM260821P00068000", "bid": 16.65, "bid_size": 443.0, "ask": 17.9, "ask_size": 174.0, "iv": 0.94, "open_interest": 190.0, "volume": 4.0, "delta": -0.8839, "gamma": 0.0182, "vega": 0.022, "theta": -0.0605, "rho": -0.0191, "theo": 17.3762, "change": -0.23, "open": 18.35, "high": 18.87, "low": 17.42, "tick": "down", "last_trade_price": 17.42, "last_trade_time": "2026-08-03T15:37:40", "percent_change": -1.30311, "prev_day_close": 17.6499996185303}, {"option": "DRAM260821C00069000", "bid": 0.37, "bid_size": 1029.0, "ask": 0.6, "ask_size": 543.0, "iv": 0.9694, "open_interest": 1965.0, "volume": 9.0, "delta": 0.1092, "gamma": 0.0165, "vega": 0.0212, "theta": -0.0571, "rho": 0.0027, "theo": 0.5292, "change": -0.265, "open": 0.4, "high": 0.44, "low": 0.4, "tick": "up", "last_trade_price": 0.44, "last_trade_time": "2026-08-03T11:46:28", "percent_change": -37.5887, "prev_day_close": 0.705000013113022}, {"option": "DRAM260821P00069000", "bid": 17.6, "bid_size": 52.0, "ask": 19.2, "ask_size": 99.0, "iv": 1.0352, "open_interest": 95.0, "volume": 4.0, "delta": -0.8963, "gamma": 0.0169, "vega": 0.0203, "theta": -0.0559, "rho": -0.0181, "theo": 18.3069, "change": 0.46, "open": 18.91, "high": 18.91, "low": 18.91, "tick": "down", "last_trade_price": 18.91, "last_trade_time": "2026-08-03T13:19:03", "percent_change": 2.49323, "prev_day_close": 18.4499998092651}, {"option": "DRAM260821C00070000", "bid": 0.44, "bid_size": 1.0, "ask": 0.5, "ask_size": 161.0, "iv": 0.9953, "open_interest": 30382.0, "volume": 5769.0, "delta": 0.0981, "gamma": 0.0152, "vega": 0.0196, "theta": -0.0528, "rho": 0.0024, "theo": 0.4665, "change": -0.165, "open": 0.47, "high": 0.6, "low": 0.34, "tick": "up", "last_trade_price": 0.48, "last_trade_time": "2026-08-03T15:54:32", "percent_change": -25.5814, "prev_day_close": 0.645000010728836}, {"option": "DRAM260821P00070000", "bid": 19.0, "bid_size": 15.0, "ask": 19.8, "ask_size": 454.0, "iv": 1.0701, "open_interest": 13854.0, "volume": 64.0, "delta": -0.9076, "gamma": 0.0156, "vega": 0.0186, "theta": -0.0516, "rho": -0.018, "theo": 19.2468, "change": -0.27, "open": 21.72, "high": 22.0, "low": 19.0, "tick": "down", "last_trade_price": 19.33, "last_trade_time": "2026-08-03T15:57:17", "percent_change": -1.37755, "prev_day_close": 19.6000003814697}, {"option": "DRAM260821C00071000", "bid": 0.34, "bid_size": 430.0, "ask": 0.45, "ask_size": 345.0, "iv": 0.9869, "open_interest": 340.0, "volume": 71.0, "delta": 0.0882, "gamma": 0.014, "vega": 0.0181, "theta": -0.0488, "rho": 0.0022, "theo": 0.4114, "change": -0.235, "open": 0.43, "high": 0.43, "low": 0.2, "tick": "down", "last_trade_price": 0.34, "last_trade_time": "2026-08-03T15:53:03", "percent_change": -40.8696, "prev_day_close": 0.574999988079071}, {"option": "DRAM260821P00071000", "bid": 19.5, "bid_size": 74.0, "ask": 20.65, "ask_size": 33.0, "iv": 0.9175, "open_interest": 36.0, "volume": 2.0, "delta": -0.9178, "gamma": 0.0144, "vega": 0.0171, "theta": -0.0476, "rho": -0.0182, "theo": 20.1939, "change": -0.17, "open": 20.43, "high": 20.43, "low": 20.43, "tick": "up", "last_trade_price": 20.43, "last_trade_time": "2026-08-03T15:33:24", "percent_change": -0.82524, "prev_day_close": 20.5999994277954}, {"option": "DRAM260821C00072000", "bid": 0.25, "bid_size": 905.0, "ask": 0.58, "ask_size": 1551.0, "iv": 1.0294, "open_interest": 924.0, "volume": 97.0, "delta": 0.0792, "gamma": 0.0129, "vega": 0.0167, "theta": -0.045, "rho": 0.002, "theo": 0.3631, "change": -0.015, "open": 0.4, "high": 0.41, "low": 0.27, "tick": "up", "last_trade_price": 0.41, "last_trade_time": "2026-08-03T15:53:39", "percent_change": -3.52941, "prev_day_close": 0.425000011920929}, {"option": "DRAM260821P00072000", "bid": 20.4, "bid_size": 327.0, "ask": 21.95, "ask_size": 274.0, "iv": 1.0163, "open_interest": 173.0, "volume": 2.0, "delta": -0.927, "gamma": 0.0133, "vega": 0.0156, "theta": -0.0437, "rho": -0.0167, "theo": 21.1478, "change": 0.01, "open": 21.41, "high": 21.41, "low": 21.41, "tick": "down", "last_trade_price": 21.41, "last_trade_time": "2026-08-03T15:37:40", "percent_change": 0.0467263, "prev_day_close": 21.4000005722046}, {"option": "DRAM260821C00073000", "bid": 0.1, "bid_size": 1838.0, "ask": 0.57, "ask_size": 1761.0, "iv": 1.0114, "open_interest": 484.0, "volume": 12.0, "delta": 0.0711, "gamma": 0.0119, "vega": 0.0154, "theta": -0.0415, "rho": 0.0018, "theo": 0.3206, "change": -0.14, "open": 0.3, "high": 0.34, "low": 0.25, "tick": "no_change", "last_trade_price": 0.34, "last_trade_time": "2026-08-03T12:43:19", "percent_change": -29.1667, "prev_day_close": 0.480000004172325}, {"option": "DRAM260821P00073000", "bid": 21.4, "bid_size": 49.0, "ask": 23.1, "ask_size": 75.0, "iv": 1.0918, "open_interest": 31.0, "volume": 0.0, "delta": -0.9354, "gamma": 0.0123, "vega": 0.014, "theta": -0.0401, "rho": -0.0163, "theo": 22.1084, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.57, "last_trade_time": "2026-07-31T09:39:09", "percent_change": 0.0, "prev_day_close": 22.1499996185303}, {"option": "DRAM260821C00074000", "bid": 0.01, "bid_size": 2846.0, "ask": 0.31, "ask_size": 238.0, "iv": 0.9027, "open_interest": 358.0, "volume": 17.0, "delta": 0.0639, "gamma": 0.0109, "vega": 0.0142, "theta": -0.0382, "rho": 0.0016, "theo": 0.2833, "change": -0.185, "open": 0.24, "high": 0.28, "low": 0.16, "tick": "no_change", "last_trade_price": 0.22, "last_trade_time": "2026-08-03T13:41:04", "percent_change": -45.679, "prev_day_close": 0.404999993741512}, {"option": "DRAM260821P00074000", "bid": 22.55, "bid_size": 55.0, "ask": 23.6, "ask_size": 52.0, "iv": 1.0061, "open_interest": 67.0, "volume": 31.0, "delta": -0.9429, "gamma": 0.0114, "vega": 0.0129, "theta": -0.0368, "rho": -0.0165, "theo": 23.0738, "change": 1.35, "open": 24.05, "high": 24.5, "low": 24.05, "tick": "up", "last_trade_price": 24.5, "last_trade_time": "2026-08-03T11:39:11", "percent_change": 5.83153, "prev_day_close": 23.1500005722046}, {"option": "DRAM260821C00075000", "bid": 0.2, "bid_size": 271.0, "ask": 0.27, "ask_size": 228.0, "iv": 0.9961, "open_interest": 13632.0, "volume": 833.0, "delta": 0.0574, "gamma": 0.01, "vega": 0.013, "theta": -0.0351, "rho": 0.0014, "theo": 0.2506, "change": -0.15, "open": 0.28, "high": 0.28, "low": 0.12, "tick": "no_change", "last_trade_price": 0.23, "last_trade_time": "2026-08-03T15:52:17", "percent_change": -39.4737, "prev_day_close": 0.379999995231628}, {"option": "DRAM260821P00075000", "bid": 23.25, "bid_size": 662.0, "ask": 24.65, "ask_size": 463.0, "iv": 0.9067, "open_interest": 334.0, "volume": 5.0, "delta": -0.9497, "gamma": 0.0104, "vega": 0.0116, "theta": -0.0336, "rho": -0.0157, "theo": 24.0436, "change": 0.955, "open": 26.9, "high": 26.9, "low": 25.28, "tick": "down", "last_trade_price": 25.28, "last_trade_time": "2026-08-03T11:43:52", "percent_change": 3.926, "prev_day_close": 24.3249998092651}, {"option": "DRAM260821C00076000", "bid": 0.02, "bid_size": 2764.0, "ask": 0.3, "ask_size": 1386.0, "iv": 0.9543, "open_interest": 3099.0, "volume": 155.0, "delta": 0.0516, "gamma": 0.0091, "vega": 0.012, "theta": -0.0323, "rho": 0.0013, "theo": 0.2218, "change": -0.2, "open": 0.23, "high": 0.3, "low": 0.17, "tick": "no_change", "last_trade_price": 0.19, "last_trade_time": "2026-08-03T13:41:04", "percent_change": -51.2821, "prev_day_close": 0.389999985694885}, {"option": "DRAM260821P00076000", "bid": 24.2, "bid_size": 48.0, "ask": 26.0, "ask_size": 81.0, "iv": 1.082, "open_interest": 60.0, "volume": 0.0, "delta": -0.9558, "gamma": 0.0096, "vega": 0.0102, "theta": -0.0307, "rho": -0.0138, "theo": 25.0182, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 25.03, "last_trade_time": "2026-07-30T14:58:31", "percent_change": 0.0, "prev_day_close": 25.4500007629395}, {"option": "DRAM260821C00077000", "bid": 0.1, "bid_size": 1342.0, "ask": 0.37, "ask_size": 2389.0, "iv": 1.0491, "open_interest": 1641.0, "volume": 12.0, "delta": 0.0463, "gamma": 0.0084, "vega": 0.011, "theta": -0.0296, "rho": 0.0012, "theo": 0.1965, "change": -0.13, "open": 0.05, "high": 0.23, "low": 0.05, "tick": "down", "last_trade_price": 0.17, "last_trade_time": "2026-08-03T15:17:49", "percent_change": -43.3333, "prev_day_close": 0.299999989569187}, {"option": "DRAM260821P00077000", "bid": 25.45, "bid_size": 359.0, "ask": 26.85, "ask_size": 497.0, "iv": 1.1467, "open_interest": 315.0, "volume": 0.0, "delta": -0.9613, "gamma": 0.0088, "vega": 0.0093, "theta": -0.028, "rho": -0.014, "theo": 25.9963, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 28.55, "last_trade_time": "2026-07-30T09:35:48", "percent_change": 0.0, "prev_day_close": 26.0500001907349}, {"option": "DRAM260821C00078000", "bid": 0.1, "bid_size": 543.0, "ask": 0.37, "ask_size": 1707.0, "iv": 1.0749, "open_interest": 341.0, "volume": 17.0, "delta": 0.0417, "gamma": 0.0076, "vega": 0.01, "theta": -0.0272, "rho": 0.001, "theo": 0.1742, "change": -0.175, "open": 0.32, "high": 0.32, "low": 0.14, "tick": "down", "last_trade_price": 0.14, "last_trade_time": "2026-08-03T15:33:03", "percent_change": -55.5556, "prev_day_close": 0.314999997615814}, {"option": "DRAM260821P00078000", "bid": 26.2, "bid_size": 87.0, "ask": 27.95, "ask_size": 92.0, "iv": 1.1166, "open_interest": 63.0, "volume": 0.0, "delta": -0.9662, "gamma": 0.0081, "vega": 0.0086, "theta": -0.0256, "rho": -0.0138, "theo": 26.977, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.99, "last_trade_time": "2026-07-27T10:21:48", "percent_change": 0.0, "prev_day_close": 27.2749996185303}, {"option": "DRAM260821C00079000", "bid": 0.05, "bid_size": 1187.0, "ask": 0.21, "ask_size": 732.0, "iv": 0.9938, "open_interest": 170.0, "volume": 2.0, "delta": 0.0375, "gamma": 0.007, "vega": 0.0092, "theta": -0.025, "rho": 0.0009, "theo": 0.1547, "change": -0.065, "open": 0.14, "high": 0.14, "low": 0.14, "tick": "no_change", "last_trade_price": 0.14, "last_trade_time": "2026-08-03T15:55:00", "percent_change": -31.7073, "prev_day_close": 0.205000005662441}, {"option": "DRAM260821P00079000", "bid": 27.2, "bid_size": 72.0, "ask": 29.0, "ask_size": 82.0, "iv": 1.1634, "open_interest": 17.0, "volume": 0.0, "delta": -0.9707, "gamma": 0.0075, "vega": 0.0074, "theta": -0.0232, "rho": -0.0113, "theo": 27.9605, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.13, "last_trade_time": "2026-07-23T09:30:09", "percent_change": 0.0, "prev_day_close": 28.0249996185303}, {"option": "DRAM260821C00080000", "bid": 0.13, "bid_size": 1.0, "ask": 0.15, "ask_size": 11.0, "iv": 1.0292, "open_interest": 28079.0, "volume": 127.0, "delta": 0.0337, "gamma": 0.0064, "vega": 0.0085, "theta": -0.0229, "rho": 0.0008, "theo": 0.1374, "change": -0.075, "open": 0.14, "high": 0.16, "low": 0.1, "tick": "no_change", "last_trade_price": 0.14, "last_trade_time": "2026-08-03T15:56:55", "percent_change": -34.8837, "prev_day_close": 0.215000003576279}, {"option": "DRAM260821P00080000", "bid": 28.5, "bid_size": 214.0, "ask": 29.6, "ask_size": 236.0, "iv": 1.1468, "open_interest": 235.0, "volume": 0.0, "delta": -0.9748, "gamma": 0.007, "vega": 0.0062, "theta": -0.0209, "rho": -0.0107, "theo": 28.9474, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.64, "last_trade_time": "2026-07-30T13:06:39", "percent_change": 0.0, "prev_day_close": 29.0749998092651}, {"option": "DRAM260821C00081000", "bid": 0.09, "bid_size": 124.0, "ask": 0.26, "ask_size": 1537.0, "iv": 1.0916, "open_interest": 428.0, "volume": 4.0, "delta": 0.0303, "gamma": 0.0058, "vega": 0.0078, "theta": -0.021, "rho": 0.0008, "theo": 0.1222, "change": -0.045, "open": 0.13, "high": 0.17, "low": 0.12, "tick": "up", "last_trade_price": 0.17, "last_trade_time": "2026-08-03T15:55:19", "percent_change": -20.9302, "prev_day_close": 0.215000003576279}, {"option": "DRAM260821P00081000", "bid": 29.15, "bid_size": 69.0, "ask": 30.95, "ask_size": 86.0, "iv": 1.172, "open_interest": 49.0, "volume": 0.0, "delta": -0.9784, "gamma": 0.0065, "vega": 0.0057, "theta": -0.0187, "rho": -0.0108, "theo": 29.9359, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.93, "last_trade_time": "2026-07-30T11:56:44", "percent_change": 0.0, "prev_day_close": 30.0500001907349}, {"option": "DRAM260821C00085000", "bid": 0.05, "bid_size": 122.0, "ask": 0.19, "ask_size": 2146.0, "iv": 1.1138, "open_interest": 6713.0, "volume": 101.0, "delta": 0.02, "gamma": 0.004, "vega": 0.0055, "theta": -0.0149, "rho": 0.0005, "theo": 0.0773, "change": 0.005, "open": 0.1, "high": 0.17, "low": 0.04, "tick": "up", "last_trade_price": 0.11, "last_trade_time": "2026-08-03T15:56:53", "percent_change": 4.76191, "prev_day_close": 0.10499999858439}, {"option": "DRAM260821P00085000", "bid": 32.85, "bid_size": 10.0, "ask": 34.7, "ask_size": 20.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9898, "gamma": 0.0045, "vega": 0.0029, "theta": -0.012, "rho": -0.0064, "theo": 33.9071, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 39.3, "last_trade_time": "2026-07-29T11:22:26", "percent_change": 0.0, "prev_day_close": 33.9249992370606}, {"option": "DRAM260821C00090000", "bid": 0.04, "bid_size": 100.0, "ask": 0.1, "ask_size": 472.0, "iv": 1.1269, "open_interest": 9129.0, "volume": 171.0, "delta": 0.0122, "gamma": 0.0026, "vega": 0.0036, "theta": -0.0097, "rho": 0.0003, "theo": 0.0447, "change": -0.02, "open": 0.05, "high": 0.13, "low": 0.04, "tick": "up", "last_trade_price": 0.06, "last_trade_time": "2026-08-03T15:43:43", "percent_change": -25.0, "prev_day_close": 0.0799999972805381}, {"option": "DRAM260821P00090000", "bid": 38.05, "bid_size": 2.0, "ask": 39.75, "ask_size": 19.0, "iv": 1.1159, "open_interest": 3.0, "volume": 0.0, "delta": -0.9974, "gamma": 0.0018, "vega": 0.0007, "theta": -0.0085, "rho": -0.0019, "theo": 38.8957, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 39.38, "last_trade_time": "2026-07-30T11:16:19", "percent_change": 0.0, "prev_day_close": 38.8999996185303}, {"option": "DRAM260821C00095000", "bid": 0.01, "bid_size": 100.0, "ask": 0.02, "ask_size": 5.0, "iv": 1.022, "open_interest": 3075.0, "volume": 4.0, "delta": 0.0075, "gamma": 0.0017, "vega": 0.0023, "theta": -0.0064, "rho": 0.0002, "theo": 0.0266, "change": -0.045, "open": 0.03, "high": 0.03, "low": 0.02, "tick": "no_change", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T14:02:49", "percent_change": -69.2308, "prev_day_close": 0.0649999994784594}, {"option": "DRAM260821P00095000", "bid": 43.0, "bid_size": 10.0, "ask": 44.75, "ask_size": 20.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -0.9997, "gamma": 0.0003, "vega": 0.0, "theta": -0.0082, "rho": 0.0, "theo": 43.8944, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 41.65, "last_trade_time": "2026-07-16T11:39:30", "percent_change": 0.0, "prev_day_close": 43.8999996185303}, {"option": "DRAM260821C00100000", "bid": 0.0, "bid_size": 0.0, "ask": 0.02, "ask_size": 10.0, "iv": 1.0544, "open_interest": 6579.0, "volume": 182.0, "delta": 0.0047, "gamma": 0.0011, "vega": 0.0015, "theta": -0.0042, "rho": 0.0001, "theo": 0.0163, "change": -0.015, "open": 0.02, "high": 0.03, "low": 0.01, "tick": "no_change", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T15:46:00", "percent_change": -42.8571, "prev_day_close": 0.034999999217689}, {"option": "DRAM260821P00100000", "bid": 47.65, "bid_size": 12.0, "ask": 49.65, "ask_size": 20.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0082, "rho": 0.0, "theo": 48.8944, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 48.73, "last_trade_time": "2026-07-31T12:36:02", "percent_change": 0.0, "prev_day_close": 49.0750007629394}, {"option": "DRAM260821C00105000", "bid": 0.01, "bid_size": 1.0, "ask": 0.02, "ask_size": 20.0, "iv": 1.1649, "open_interest": 20530.0, "volume": 15.0, "delta": 0.0031, "gamma": 0.0007, "vega": 0.001, "theta": -0.0029, "rho": 0.0001, "theo": 0.0102, "change": -0.085, "open": 0.02, "high": 0.02, "low": 0.02, "tick": "down", "last_trade_price": 0.02, "last_trade_time": "2026-08-03T13:41:42", "percent_change": -80.9524, "prev_day_close": 0.104999996721745}, {"option": "DRAM260821P00105000", "bid": 53.05, "bid_size": 10.0, "ask": 54.75, "ask_size": 20.0, "iv": 1.3756, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0082, "rho": 0.0, "theo": 53.8944, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 50.7, "last_trade_time": "2026-07-16T09:30:15", "percent_change": 0.0, "prev_day_close": 54.0249996185303}, {"option": "DRAM260821C00110000", "bid": 0.0, "bid_size": 0.0, "ask": 0.02, "ask_size": 11.0, "iv": 1.1853, "open_interest": 246.0, "volume": 0.0, "delta": 0.002, "gamma": 0.0005, "vega": 0.0007, "theta": -0.002, "rho": 0.0, "theo": 0.0065, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.1, "last_trade_time": "2026-07-29T12:10:22", "percent_change": 0.0, "prev_day_close": 0.104999996721745}, {"option": "DRAM260821P00110000", "bid": 57.65, "bid_size": 12.0, "ask": 59.5, "ask_size": 1.0, "iv": 0.0, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0082, "rho": 0.0, "theo": 58.8944, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 58.8999996185303}, {"option": "DRAM260821C00115000", "bid": 0.0, "bid_size": 0.0, "ask": 0.02, "ask_size": 10.0, "iv": 1.2457, "open_interest": 1326.0, "volume": 0.0, "delta": 0.0013, "gamma": 0.0003, "vega": 0.0005, "theta": -0.0014, "rho": 0.0, "theo": 0.0043, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.07, "last_trade_time": "2026-07-30T12:17:29", "percent_change": 0.0, "prev_day_close": 0.0700000002980232}, {"option": "DRAM260821P00115000", "bid": 63.05, "bid_size": 11.0, "ask": 64.75, "ask_size": 20.0, "iv": 1.5259, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0082, "rho": 0.0, "theo": 63.8944, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 38.05, "last_trade_time": "2026-06-22T10:44:06", "percent_change": 0.0, "prev_day_close": 63.9000015258789}, {"option": "DRAM260821C00122000", "bid": 0.0, "bid_size": 0.0, "ask": 0.01, "ask_size": 3.0, "iv": 1.2511, "open_interest": 9808.0, "volume": 2.0, "delta": 0.0008, "gamma": 0.0002, "vega": 0.0003, "theta": -0.0008, "rho": 0.0, "theo": 0.0025, "change": 0.03, "open": 0.06, "high": 0.06, "low": 0.06, "tick": "up", "last_trade_price": 0.06, "last_trade_time": "2026-08-03T09:30:03", "percent_change": 100.0, "prev_day_close": 0.0299999993294477}, {"option": "DRAM260821P00122000", "bid": 70.1, "bid_size": 10.0, "ask": 71.8, "ask_size": 20.0, "iv": 1.7995, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0082, "rho": 0.0, "theo": 70.8944, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 70.9000015258789}, {"option": "DRAM260828C00030000", "bid": 20.45, "bid_size": 66.0, "ask": 22.3, "ask_size": 85.0, "iv": 1.1763, "open_interest": 0.0, "volume": 0.0, "delta": 0.9674, "gamma": 0.0045, "vega": 0.0096, "theta": -0.0194, "rho": 0.0207, "theo": 21.4008, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.25, "last_trade_time": "2026-07-31T10:24:46", "percent_change": 0.0, "prev_day_close": 21.5}, {"option": "DRAM260828P00030000", "bid": 0.21, "bid_size": 16.0, "ask": 0.3, "ask_size": 149.0, "iv": 1.2366, "open_interest": 283.0, "volume": 31.0, "delta": -0.0323, "gamma": 0.0045, "vega": 0.0097, "theta": -0.0226, "rho": -0.0013, "theo": 0.223, "change": -0.125, "open": 0.36, "high": 0.36, "low": 0.2, "tick": "no_change", "last_trade_price": 0.21, "last_trade_time": "2026-08-03T15:57:16", "percent_change": -37.3134, "prev_day_close": 0.334999993443489}, {"option": "DRAM260828C00031000", "bid": 19.6, "bid_size": 65.0, "ask": 21.3, "ask_size": 74.0, "iv": 1.1846, "open_interest": 0.0, "volume": 0.0, "delta": 0.9609, "gamma": 0.0052, "vega": 0.0112, "theta": -0.0229, "rho": 0.0212, "theo": 20.4522, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.5500001907349}, {"option": "DRAM260828P00031000", "bid": 0.04, "bid_size": 1864.0, "ask": 0.55, "ask_size": 1299.0, "iv": 1.2074, "open_interest": 7.0, "volume": 93.0, "delta": -0.0387, "gamma": 0.0053, "vega": 0.0112, "theta": -0.026, "rho": -0.0015, "theo": 0.2714, "change": -0.01, "open": 0.42, "high": 0.43, "low": 0.26, "tick": "no_change", "last_trade_price": 0.32, "last_trade_time": "2026-08-03T13:02:28", "percent_change": -3.03031, "prev_day_close": 0.330000009387732}, {"option": "DRAM260828C00032000", "bid": 18.65, "bid_size": 64.0, "ask": 20.4, "ask_size": 89.0, "iv": 1.1795, "open_interest": 0.0, "volume": 0.0, "delta": 0.9535, "gamma": 0.0061, "vega": 0.0129, "theta": -0.0267, "rho": 0.0216, "theo": 19.5126, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.6000003814697}, {"option": "DRAM260828P00032000", "bid": 0.06, "bid_size": 1440.0, "ask": 0.42, "ask_size": 5.0, "iv": 1.0947, "open_interest": 178.0, "volume": 117.0, "delta": -0.0461, "gamma": 0.0062, "vega": 0.0129, "theta": -0.0296, "rho": -0.0018, "theo": 0.3286, "change": -0.015, "open": 0.4, "high": 0.5, "low": 0.35, "tick": "up", "last_trade_price": 0.42, "last_trade_time": "2026-08-03T12:46:55", "percent_change": -3.44828, "prev_day_close": 0.435000002384186}, {"option": "DRAM260828C00033000", "bid": 17.7, "bid_size": 67.0, "ask": 19.35, "ask_size": 76.0, "iv": 1.1127, "open_interest": 0.0, "volume": 0.0, "delta": 0.945, "gamma": 0.0071, "vega": 0.0148, "theta": -0.0307, "rho": 0.022, "theo": 18.583, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.75}, {"option": "DRAM260828P00033000", "bid": 0.17, "bid_size": 1002.0, "ask": 0.64, "ask_size": 1274.0, "iv": 1.1599, "open_interest": 44.0, "volume": 33.0, "delta": -0.0547, "gamma": 0.0072, "vega": 0.0148, "theta": -0.0335, "rho": -0.0022, "theo": 0.3961, "change": -0.09, "open": 0.58, "high": 0.6, "low": 0.4, "tick": "up", "last_trade_price": 0.41, "last_trade_time": "2026-08-03T14:08:35", "percent_change": -18.0, "prev_day_close": 0.499999985098839}, {"option": "DRAM260828C00034000", "bid": 16.8, "bid_size": 64.0, "ask": 18.45, "ask_size": 74.0, "iv": 1.1143, "open_interest": 0.0, "volume": 0.0, "delta": 0.9353, "gamma": 0.0082, "vega": 0.0168, "theta": -0.0351, "rho": 0.0223, "theo": 17.665, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 17.8000001907349}, {"option": "DRAM260828P00034000", "bid": 0.26, "bid_size": 967.0, "ask": 0.71, "ask_size": 934.0, "iv": 1.1446, "open_interest": 37.0, "volume": 58.0, "delta": -0.0644, "gamma": 0.0082, "vega": 0.0168, "theta": -0.0377, "rho": -0.0026, "theo": 0.475, "change": -0.125, "open": 0.71, "high": 0.71, "low": 0.44, "tick": "up", "last_trade_price": 0.48, "last_trade_time": "2026-08-03T14:28:25", "percent_change": -20.6612, "prev_day_close": 0.604999989271164}, {"option": "DRAM260828C00035000", "bid": 15.9, "bid_size": 52.0, "ask": 17.6, "ask_size": 86.0, "iv": 1.1191, "open_interest": 26.0, "volume": 0.0, "delta": 0.9242, "gamma": 0.0094, "vega": 0.019, "theta": -0.0397, "rho": 0.0226, "theo": 16.7599, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.55, "last_trade_time": "2026-07-31T09:30:09", "percent_change": 0.0, "prev_day_close": 16.9499998092651}, {"option": "DRAM260828P00035000", "bid": 0.51, "bid_size": 10.0, "ask": 0.6, "ask_size": 1.0, "iv": 1.1178, "open_interest": 2745.0, "volume": 228.0, "delta": -0.0755, "gamma": 0.0094, "vega": 0.019, "theta": -0.0422, "rho": -0.003, "theo": 0.567, "change": -0.16, "open": 0.8, "high": 0.85, "low": 0.55, "tick": "up", "last_trade_price": 0.57, "last_trade_time": "2026-08-03T15:19:00", "percent_change": -21.9178, "prev_day_close": 0.729999989271164}, {"option": "DRAM260828C00036000", "bid": 14.95, "bid_size": 68.0, "ask": 16.7, "ask_size": 74.0, "iv": 1.0894, "open_interest": 1.0, "volume": 0.0, "delta": 0.9118, "gamma": 0.0107, "vega": 0.0213, "theta": -0.0445, "rho": 0.0227, "theo": 15.8694, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.49, "last_trade_time": "2026-07-30T13:30:06", "percent_change": 0.0, "prev_day_close": 16.0499997138977}, {"option": "DRAM260828P00036000", "bid": 0.56, "bid_size": 432.0, "ask": 0.96, "ask_size": 1138.0, "iv": 1.1503, "open_interest": 83.0, "volume": 21.0, "delta": -0.088, "gamma": 0.0107, "vega": 0.0214, "theta": -0.0469, "rho": -0.0035, "theo": 0.6735, "change": -0.14, "open": 1.02, "high": 1.02, "low": 0.72, "tick": "down", "last_trade_price": 0.74, "last_trade_time": "2026-08-03T15:57:29", "percent_change": -15.9091, "prev_day_close": 0.879999995231628}, {"option": "DRAM260828C00037000", "bid": 14.05, "bid_size": 39.0, "ask": 15.8, "ask_size": 72.0, "iv": 1.0675, "open_interest": 1.0, "volume": 0.0, "delta": 0.898, "gamma": 0.012, "vega": 0.0237, "theta": -0.0495, "rho": 0.0229, "theo": 14.9951, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.6, "last_trade_time": "2026-07-30T13:30:06", "percent_change": 0.0, "prev_day_close": 15.1999998092651}, {"option": "DRAM260828P00037000", "bid": 0.71, "bid_size": 129.0, "ask": 0.9, "ask_size": 348.0, "iv": 1.1012, "open_interest": 77.0, "volume": 31.0, "delta": -0.1019, "gamma": 0.0121, "vega": 0.0238, "theta": -0.0517, "rho": -0.004, "theo": 0.7964, "change": -0.19, "open": 1.14, "high": 1.15, "low": 0.75, "tick": "no_change", "last_trade_price": 0.81, "last_trade_time": "2026-08-03T15:18:13", "percent_change": -19.0, "prev_day_close": 1.0}, {"option": "DRAM260828C00038000", "bid": 13.25, "bid_size": 122.0, "ask": 14.85, "ask_size": 159.0, "iv": 1.051, "open_interest": 0.0, "volume": 0.0, "delta": 0.8826, "gamma": 0.0135, "vega": 0.0263, "theta": -0.0546, "rho": 0.0229, "theo": 14.1387, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.4000000953674}, {"option": "DRAM260828P00038000", "bid": 0.63, "bid_size": 856.0, "ask": 0.98, "ask_size": 1.0, "iv": 1.0336, "open_interest": 68.0, "volume": 31.0, "delta": -0.1173, "gamma": 0.0135, "vega": 0.0263, "theta": -0.0567, "rho": -0.0047, "theo": 0.9372, "change": -0.16, "open": 1.33, "high": 1.34, "low": 0.9, "tick": "no_change", "last_trade_price": 0.9, "last_trade_time": "2026-08-03T15:31:37", "percent_change": -15.0943, "prev_day_close": 1.06000003218651}, {"option": "DRAM260828C00039000", "bid": 12.4, "bid_size": 219.0, "ask": 14.0, "ask_size": 271.0, "iv": 1.0379, "open_interest": 0.0, "volume": 0.0, "delta": 0.8656, "gamma": 0.015, "vega": 0.0289, "theta": -0.0598, "rho": 0.0229, "theo": 13.3021, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 13.5250000953674}, {"option": "DRAM260828P00039000", "bid": 0.86, "bid_size": 844.0, "ask": 1.2, "ask_size": 282.0, "iv": 1.0506, "open_interest": 250.0, "volume": 97.0, "delta": -0.1342, "gamma": 0.015, "vega": 0.029, "theta": -0.0618, "rho": -0.0052, "theo": 1.0967, "change": -0.2, "open": 1.42, "high": 1.6, "low": 1.01, "tick": "no_change", "last_trade_price": 1.08, "last_trade_time": "2026-08-03T15:30:01", "percent_change": -15.625, "prev_day_close": 1.28000003099442}, {"option": "DRAM260828C00040000", "bid": 12.05, "bid_size": 323.0, "ask": 12.95, "ask_size": 281.0, "iv": 1.0673, "open_interest": 141.0, "volume": 2.0, "delta": 0.8471, "gamma": 0.0165, "vega": 0.0316, "theta": -0.065, "rho": 0.0228, "theo": 12.4868, "change": 0.01, "open": 10.2, "high": 12.51, "low": 10.2, "tick": "up", "last_trade_price": 12.51, "last_trade_time": "2026-08-03T15:42:40", "percent_change": 0.08, "prev_day_close": 12.5}, {"option": "DRAM260828P00040000", "bid": 1.02, "bid_size": 821.0, "ask": 1.3, "ask_size": 2.0, "iv": 1.0249, "open_interest": 2128.0, "volume": 1332.0, "delta": -0.1527, "gamma": 0.0165, "vega": 0.0316, "theta": -0.0669, "rho": -0.0061, "theo": 1.2786, "change": -0.25, "open": 1.73, "high": 1.89, "low": 1.18, "tick": "up", "last_trade_price": 1.26, "last_trade_time": "2026-08-03T15:59:27", "percent_change": -16.5563, "prev_day_close": 1.50999999046326}, {"option": "DRAM260828C00041000", "bid": 10.75, "bid_size": 160.0, "ask": 12.45, "ask_size": 222.0, "iv": 1.0249, "open_interest": 2.0, "volume": 0.0, "delta": 0.827, "gamma": 0.0181, "vega": 0.0342, "theta": -0.0702, "rho": 0.0226, "theo": 11.695, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.73, "last_trade_time": "2026-07-30T15:57:21", "percent_change": 0.0, "prev_day_close": 11.9500002861023}, {"option": "DRAM260828P00041000", "bid": 1.16, "bid_size": 1024.0, "ask": 1.58, "ask_size": 96.0, "iv": 1.0193, "open_interest": 102.0, "volume": 51.0, "delta": -0.1729, "gamma": 0.0181, "vega": 0.0343, "theta": -0.0719, "rho": -0.0068, "theo": 1.4838, "change": -0.085, "open": 2.02, "high": 2.14, "low": 1.5, "tick": "up", "last_trade_price": 1.58, "last_trade_time": "2026-08-03T12:24:51", "percent_change": -5.1051, "prev_day_close": 1.66499996185303}, {"option": "DRAM260828C00042000", "bid": 10.0, "bid_size": 201.0, "ask": 11.65, "ask_size": 232.0, "iv": 1.0153, "open_interest": 1.0, "volume": 0.0, "delta": 0.8054, "gamma": 0.0196, "vega": 0.0368, "theta": -0.0752, "rho": 0.0224, "theo": 10.9278, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 11.56, "last_trade_time": "2026-07-30T13:30:13", "percent_change": 0.0, "prev_day_close": 10.9499998092651}, {"option": "DRAM260828P00042000", "bid": 1.51, "bid_size": 578.0, "ask": 1.83, "ask_size": 235.0, "iv": 1.0314, "open_interest": 564.0, "volume": 973.0, "delta": -0.1946, "gamma": 0.0197, "vega": 0.0368, "theta": -0.0768, "rho": -0.0077, "theo": 1.7141, "change": -0.25, "open": 2.11, "high": 2.55, "low": 1.64, "tick": "no_change", "last_trade_price": 1.68, "last_trade_time": "2026-08-03T14:35:47", "percent_change": -12.9534, "prev_day_close": 1.92999994754791}, {"option": "DRAM260828C00043000", "bid": 9.55, "bid_size": 268.0, "ask": 10.9, "ask_size": 322.0, "iv": 1.0442, "open_interest": 2.0, "volume": 12.0, "delta": 0.7822, "gamma": 0.0212, "vega": 0.0394, "theta": -0.08, "rho": 0.022, "theo": 10.1873, "change": -1.54, "open": 8.35, "high": 9.01, "low": 8.35, "tick": "up", "last_trade_price": 9.01, "last_trade_time": "2026-08-03T11:25:15", "percent_change": -14.5972, "prev_day_close": 10.5500001907349}, {"option": "DRAM260828P00043000", "bid": 1.68, "bid_size": 715.0, "ask": 2.03, "ask_size": 1.0, "iv": 1.005, "open_interest": 261.0, "volume": 228.0, "delta": -0.2178, "gamma": 0.0212, "vega": 0.0394, "theta": -0.0815, "rho": -0.0086, "theo": 1.9708, "change": -0.36, "open": 2.6, "high": 2.78, "low": 1.88, "tick": "down", "last_trade_price": 1.9, "last_trade_time": "2026-08-03T15:44:18", "percent_change": -15.9292, "prev_day_close": 2.25999999046326}, {"option": "DRAM260828C00044000", "bid": 8.55, "bid_size": 233.0, "ask": 10.1, "ask_size": 272.0, "iv": 0.9903, "open_interest": 3.0, "volume": 0.0, "delta": 0.7577, "gamma": 0.0226, "vega": 0.0418, "theta": -0.0846, "rho": 0.0216, "theo": 9.4747, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.21, "last_trade_time": "2026-07-30T14:02:35", "percent_change": 0.0, "prev_day_close": 9.84999990463257}, {"option": "DRAM260828P00044000", "bid": 1.99, "bid_size": 544.0, "ask": 2.5, "ask_size": 697.0, "iv": 1.0238, "open_interest": 410.0, "volume": 1134.0, "delta": -0.2424, "gamma": 0.0227, "vega": 0.0418, "theta": -0.0859, "rho": -0.0095, "theo": 2.2559, "change": -0.32, "open": 3.02, "high": 3.1, "low": 2.12, "tick": "no_change", "last_trade_price": 2.25, "last_trade_time": "2026-08-03T15:50:39", "percent_change": -12.4514, "prev_day_close": 2.57000005245209}, {"option": "DRAM260828C00045000", "bid": 8.4, "bid_size": 665.0, "ask": 9.2, "ask_size": 451.0, "iv": 1.0207, "open_interest": 246.0, "volume": 216.0, "delta": 0.7319, "gamma": 0.024, "vega": 0.0441, "theta": -0.0888, "rho": 0.0212, "theo": 8.7915, "change": -0.65, "open": 7.0, "high": 8.35, "low": 7.0, "tick": "down", "last_trade_price": 8.2, "last_trade_time": "2026-08-03T12:59:24", "percent_change": -7.34463, "prev_day_close": 8.84999990463257}, {"option": "DRAM260828P00045000", "bid": 2.45, "bid_size": 2.0, "ask": 2.59, "ask_size": 1.0, "iv": 1.0074, "open_interest": 1841.0, "volume": 157.0, "delta": -0.2683, "gamma": 0.0241, "vega": 0.0441, "theta": -0.09, "rho": -0.0106, "theo": 2.5699, "change": -0.365, "open": 3.11, "high": 3.5, "low": 2.45, "tick": "up", "last_trade_price": 2.55, "last_trade_time": "2026-08-03T15:59:47", "percent_change": -12.5214, "prev_day_close": 2.91499996185303}, {"option": "DRAM260828C00046000", "bid": 7.7, "bid_size": 291.0, "ask": 8.65, "ask_size": 428.0, "iv": 1.0196, "open_interest": 16.0, "volume": 0.0, "delta": 0.7049, "gamma": 0.0254, "vega": 0.0462, "theta": -0.0926, "rho": 0.0206, "theo": 8.1386, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.12, "last_trade_time": "2026-07-31T13:27:11", "percent_change": 0.0, "prev_day_close": 8.32500004768372}, {"option": "DRAM260828P00046000", "bid": 2.69, "bid_size": 400.0, "ask": 3.05, "ask_size": 274.0, "iv": 1.002, "open_interest": 50.0, "volume": 23.0, "delta": -0.2953, "gamma": 0.0254, "vega": 0.0462, "theta": -0.0937, "rho": -0.0115, "theo": 2.915, "change": -0.385, "open": 3.91, "high": 3.91, "low": 2.89, "tick": "down", "last_trade_price": 2.89, "last_trade_time": "2026-08-03T15:57:29", "percent_change": -11.7557, "prev_day_close": 3.27500009536743}, {"option": "DRAM260828C00047000", "bid": 7.2, "bid_size": 452.0, "ask": 7.85, "ask_size": 365.0, "iv": 1.007, "open_interest": 26.0, "volume": 26.0, "delta": 0.677, "gamma": 0.0266, "vega": 0.048, "theta": -0.0959, "rho": 0.02, "theo": 7.5171, "change": -0.175, "open": 6.5, "high": 7.6, "low": 6.5, "tick": "up", "last_trade_price": 7.5, "last_trade_time": "2026-08-03T15:55:11", "percent_change": -2.28013, "prev_day_close": 7.67499995231628}, {"option": "DRAM260828P00047000", "bid": 2.89, "bid_size": 476.0, "ask": 3.4, "ask_size": 25.0, "iv": 0.9749, "open_interest": 121.0, "volume": 44.0, "delta": -0.3234, "gamma": 0.0266, "vega": 0.0481, "theta": -0.0969, "rho": -0.0127, "theo": 3.291, "change": -0.3, "open": 4.15, "high": 4.58, "low": 3.4, "tick": "down", "last_trade_price": 3.4, "last_trade_time": "2026-08-03T13:46:09", "percent_change": -8.10811, "prev_day_close": 3.69999992847443}, {"option": "DRAM260828C00048000", "bid": 6.65, "bid_size": 421.0, "ask": 7.4, "ask_size": 637.0, "iv": 1.019, "open_interest": 70.0, "volume": 1161.0, "delta": 0.6482, "gamma": 0.0276, "vega": 0.0496, "theta": -0.0988, "rho": 0.0194, "theo": 6.9277, "change": -0.095, "open": 5.6, "high": 7.13, "low": 5.2, "tick": "up", "last_trade_price": 7.13, "last_trade_time": "2026-08-03T14:03:08", "percent_change": -1.31488, "prev_day_close": 7.22499990463257}, {"option": "DRAM260828P00048000", "bid": 3.5, "bid_size": 321.0, "ask": 3.95, "ask_size": 599.0, "iv": 1.0046, "open_interest": 60.0, "volume": 51.0, "delta": -0.3522, "gamma": 0.0277, "vega": 0.0497, "theta": -0.0996, "rho": -0.0136, "theo": 3.6996, "change": -0.39, "open": 4.3, "high": 5.2, "low": 3.55, "tick": "up", "last_trade_price": 3.76, "last_trade_time": "2026-08-03T14:40:52", "percent_change": -9.39759, "prev_day_close": 4.15000009536743}, {"option": "DRAM260828C00049000", "bid": 6.05, "bid_size": 400.0, "ask": 6.9, "ask_size": 649.0, "iv": 1.0146, "open_interest": 58.0, "volume": 33.0, "delta": 0.6189, "gamma": 0.0285, "vega": 0.051, "theta": -0.101, "rho": 0.0186, "theo": 6.3706, "change": -0.35, "open": 5.08, "high": 6.2, "low": 5.0, "tick": "up", "last_trade_price": 6.2, "last_trade_time": "2026-08-03T15:07:13", "percent_change": -5.34351, "prev_day_close": 6.54999995231628}, {"option": "DRAM260828P00049000", "bid": 3.9, "bid_size": 374.0, "ask": 4.35, "ask_size": 450.0, "iv": 0.9911, "open_interest": 31.0, "volume": 40.0, "delta": -0.3817, "gamma": 0.0286, "vega": 0.051, "theta": -0.1017, "rho": -0.0149, "theo": 4.1403, "change": -0.415, "open": 5.45, "high": 5.45, "low": 4.16, "tick": "down", "last_trade_price": 4.16, "last_trade_time": "2026-08-03T15:33:49", "percent_change": -9.07104, "prev_day_close": 4.57500004768372}, {"option": "DRAM260828C00050000", "bid": 5.45, "bid_size": 962.0, "ask": 6.05, "ask_size": 281.0, "iv": 0.9708, "open_interest": 1557.0, "volume": 399.0, "delta": 0.5891, "gamma": 0.0292, "vega": 0.052, "theta": -0.1027, "rho": 0.0179, "theo": 5.8463, "change": -0.05, "open": 4.78, "high": 6.05, "low": 4.34, "tick": "up", "last_trade_price": 6.05, "last_trade_time": "2026-08-03T15:51:43", "percent_change": -0.819671, "prev_day_close": 6.09999990463257}, {"option": "DRAM260828P00050000", "bid": 4.35, "bid_size": 439.0, "ask": 4.7, "ask_size": 2.0, "iv": 0.9723, "open_interest": 1497.0, "volume": 355.0, "delta": -0.4115, "gamma": 0.0294, "vega": 0.0521, "theta": -0.1033, "rho": -0.0158, "theo": 4.6138, "change": -0.495, "open": 5.95, "high": 6.25, "low": 4.5, "tick": "up", "last_trade_price": 4.53, "last_trade_time": "2026-08-03T15:59:48", "percent_change": -9.85074, "prev_day_close": 5.02499985694885}, {"option": "DRAM260828C00051000", "bid": 5.15, "bid_size": 319.0, "ask": 5.5, "ask_size": 1.0, "iv": 0.9795, "open_interest": 620.0, "volume": 135.0, "delta": 0.5592, "gamma": 0.0298, "vega": 0.0528, "theta": -0.1038, "rho": 0.0171, "theo": 5.3542, "change": 0.275, "open": 4.23, "high": 5.9, "low": 4.16, "tick": "up", "last_trade_price": 5.9, "last_trade_time": "2026-08-03T15:58:00", "percent_change": 4.88889, "prev_day_close": 5.625}, {"option": "DRAM260828P00051000", "bid": 4.9, "bid_size": 168.0, "ask": 5.4, "ask_size": 421.0, "iv": 0.9907, "open_interest": 36.0, "volume": 4.0, "delta": -0.4416, "gamma": 0.0299, "vega": 0.0528, "theta": -0.1043, "rho": -0.0171, "theo": 5.1203, "change": -0.475, "open": 6.4, "high": 6.53, "low": 5.1, "tick": "down", "last_trade_price": 5.1, "last_trade_time": "2026-08-03T14:25:27", "percent_change": -8.52018, "prev_day_close": 5.57500004768372}, {"option": "DRAM260828C00052000", "bid": 4.65, "bid_size": 288.0, "ask": 5.15, "ask_size": 383.0, "iv": 0.9823, "open_interest": 1814.0, "volume": 84.0, "delta": 0.5293, "gamma": 0.0302, "vega": 0.0532, "theta": -0.1044, "rho": 0.0163, "theo": 4.8944, "change": -0.125, "open": 3.87, "high": 5.25, "low": 3.87, "tick": "up", "last_trade_price": 5.0, "last_trade_time": "2026-08-03T15:49:23", "percent_change": -2.43902, "prev_day_close": 5.125}, {"option": "DRAM260828P00052000", "bid": 5.2, "bid_size": 792.0, "ask": 5.95, "ask_size": 414.0, "iv": 0.9656, "open_interest": 544.0, "volume": 6.0, "delta": -0.4716, "gamma": 0.0303, "vega": 0.0532, "theta": -0.1047, "rho": -0.0181, "theo": 5.6585, "change": -0.335, "open": 6.0, "high": 6.0, "low": 5.69, "tick": "down", "last_trade_price": 5.69, "last_trade_time": "2026-08-03T14:51:01", "percent_change": -5.56017, "prev_day_close": 6.02500009536743}, {"option": "DRAM260828C00053000", "bid": 4.3, "bid_size": 235.0, "ask": 5.0, "ask_size": 995.0, "iv": 1.0124, "open_interest": 252.0, "volume": 23.0, "delta": 0.4996, "gamma": 0.0303, "vega": 0.0534, "theta": -0.1044, "rho": 0.0155, "theo": 4.4661, "change": -0.325, "open": 3.5, "high": 4.75, "low": 3.4, "tick": "down", "last_trade_price": 4.45, "last_trade_time": "2026-08-03T15:31:52", "percent_change": -6.80628, "prev_day_close": 4.77499985694885}, {"option": "DRAM260828P00053000", "bid": 5.85, "bid_size": 426.0, "ask": 6.4, "ask_size": 18.0, "iv": 0.9585, "open_interest": 231.0, "volume": 9.0, "delta": -0.5014, "gamma": 0.0305, "vega": 0.0534, "theta": -0.1046, "rho": -0.0191, "theo": 6.2291, "change": -0.425, "open": 7.76, "high": 7.8, "low": 6.25, "tick": "down", "last_trade_price": 6.25, "last_trade_time": "2026-08-03T15:03:29", "percent_change": -6.36704, "prev_day_close": 6.67499995231628}, {"option": "DRAM260828C00054000", "bid": 3.9, "bid_size": 284.0, "ask": 4.35, "ask_size": 649.0, "iv": 0.9858, "open_interest": 72.0, "volume": 31.0, "delta": 0.4704, "gamma": 0.0303, "vega": 0.0532, "theta": -0.1038, "rho": 0.0147, "theo": 4.0685, "change": -0.265, "open": 3.1, "high": 4.11, "low": 3.1, "tick": "up", "last_trade_price": 4.11, "last_trade_time": "2026-08-03T15:43:37", "percent_change": -6.05714, "prev_day_close": 4.375}, {"option": "DRAM260828P00054000", "bid": 6.55, "bid_size": 253.0, "ask": 7.1, "ask_size": 232.0, "iv": 0.9743, "open_interest": 190.0, "volume": 125.0, "delta": -0.5308, "gamma": 0.0305, "vega": 0.0532, "theta": -0.1039, "rho": -0.0202, "theo": 6.8297, "change": -0.515, "open": 8.55, "high": 8.55, "low": 6.71, "tick": "no_change", "last_trade_price": 6.81, "last_trade_time": "2026-08-03T15:50:39", "percent_change": -7.03072, "prev_day_close": 7.32500004768372}, {"option": "DRAM260828C00055000", "bid": 3.45, "bid_size": 548.0, "ask": 3.9, "ask_size": 391.0, "iv": 0.9679, "open_interest": 3254.0, "volume": 249.0, "delta": 0.4417, "gamma": 0.0302, "vega": 0.0528, "theta": -0.1027, "rho": 0.0139, "theo": 3.7007, "change": -0.275, "open": 2.75, "high": 4.0, "low": 2.75, "tick": "down", "last_trade_price": 3.75, "last_trade_time": "2026-08-03T15:59:17", "percent_change": -6.8323, "prev_day_close": 4.02500009536743}, {"option": "DRAM260828P00055000", "bid": 6.7, "bid_size": 559.0, "ask": 7.75, "ask_size": 252.0, "iv": 0.9279, "open_interest": 397.0, "volume": 20.0, "delta": -0.5597, "gamma": 0.0303, "vega": 0.0527, "theta": -0.1027, "rho": -0.0209, "theo": 7.4608, "change": -0.4, "open": 9.32, "high": 9.5, "low": 7.5, "tick": "down", "last_trade_price": 7.5, "last_trade_time": "2026-08-03T15:36:54", "percent_change": -5.06329, "prev_day_close": 7.90000009536743}, {"option": "DRAM260828C00055500", "bid": 3.35, "bid_size": 210.0, "ask": 4.05, "ask_size": 1053.0, "iv": 1.0046, "open_interest": 128.0, "volume": 21.0, "delta": 0.4276, "gamma": 0.03, "vega": 0.0525, "theta": -0.102, "rho": 0.0135, "theo": 3.5275, "change": -0.22, "open": 2.68, "high": 3.63, "low": 2.46, "tick": "up", "last_trade_price": 3.63, "last_trade_time": "2026-08-03T13:55:11", "percent_change": -5.71428, "prev_day_close": 3.84999990463257}, {"option": "DRAM260828P00055500", "bid": 7.55, "bid_size": 144.0, "ask": 8.3, "ask_size": 525.0, "iv": 0.998, "open_interest": 22.0, "volume": 0.0, "delta": -0.5738, "gamma": 0.0302, "vega": 0.0524, "theta": -0.1019, "rho": -0.0216, "theo": 7.7873, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.0, "last_trade_time": "2026-07-30T15:58:26", "percent_change": 0.0, "prev_day_close": 8.02500009536743}, {"option": "DRAM260828C00056000", "bid": 3.2, "bid_size": 338.0, "ask": 3.6, "ask_size": 521.0, "iv": 0.9782, "open_interest": 71.0, "volume": 17.0, "delta": 0.4137, "gamma": 0.0298, "vega": 0.0521, "theta": -0.1012, "rho": 0.0131, "theo": 3.3613, "change": -0.325, "open": 2.82, "high": 3.45, "low": 2.82, "tick": "down", "last_trade_price": 3.4, "last_trade_time": "2026-08-03T14:40:17", "percent_change": -8.72484, "prev_day_close": 3.72500014305115}, {"option": "DRAM260828P00056000", "bid": 7.65, "bid_size": 437.0, "ask": 8.65, "ask_size": 480.0, "iv": 0.9765, "open_interest": 78.0, "volume": 14.0, "delta": -0.5878, "gamma": 0.03, "vega": 0.0521, "theta": -0.101, "rho": -0.0223, "theo": 8.1204, "change": -0.2, "open": 9.83, "high": 9.83, "low": 8.4, "tick": "down", "last_trade_price": 8.4, "last_trade_time": "2026-08-03T13:38:46", "percent_change": -2.32558, "prev_day_close": 8.59999990463257}, {"option": "DRAM260828C00056500", "bid": 3.0, "bid_size": 300.0, "ask": 3.55, "ask_size": 667.0, "iv": 0.9841, "open_interest": 23.0, "volume": 7.0, "delta": 0.4001, "gamma": 0.0296, "vega": 0.0517, "theta": -0.1002, "rho": 0.0127, "theo": 3.2019, "change": -0.375, "open": 2.68, "high": 3.05, "low": 2.68, "tick": "no_change", "last_trade_price": 3.05, "last_trade_time": "2026-08-03T10:51:03", "percent_change": -10.9489, "prev_day_close": 3.42499995231628}, {"option": "DRAM260828P00056500", "bid": 8.05, "bid_size": 184.0, "ask": 8.8, "ask_size": 259.0, "iv": 0.9631, "open_interest": 25.0, "volume": 0.0, "delta": -0.6015, "gamma": 0.0298, "vega": 0.0516, "theta": -0.1, "rho": -0.0226, "theo": 8.4603, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 9.02, "last_trade_time": "2026-07-31T10:18:02", "percent_change": 0.0, "prev_day_close": 8.8250002861023}, {"option": "DRAM260828C00057000", "bid": 2.71, "bid_size": 947.0, "ask": 3.4, "ask_size": 819.0, "iv": 0.9703, "open_interest": 162.0, "volume": 48.0, "delta": 0.3867, "gamma": 0.0294, "vega": 0.0512, "theta": -0.0992, "rho": 0.0123, "theo": 3.0493, "change": -0.03, "open": 2.39, "high": 3.27, "low": 2.35, "tick": "up", "last_trade_price": 3.27, "last_trade_time": "2026-08-03T14:09:44", "percent_change": -0.90909, "prev_day_close": 3.29999995231628}, {"option": "DRAM260828P00057000", "bid": 7.65, "bid_size": 1057.0, "ask": 9.3, "ask_size": 354.0, "iv": 0.9037, "open_interest": 180.0, "volume": 12.0, "delta": -0.615, "gamma": 0.0295, "vega": 0.0511, "theta": -0.0989, "rho": -0.0229, "theo": 8.807, "change": -0.085, "open": 10.57, "high": 10.57, "low": 9.19, "tick": "down", "last_trade_price": 9.19, "last_trade_time": "2026-08-03T13:41:40", "percent_change": -0.916438, "prev_day_close": 9.27499961853027}, {"option": "DRAM260828C00057500", "bid": 2.74, "bid_size": 218.0, "ask": 3.35, "ask_size": 1049.0, "iv": 0.9965, "open_interest": 67.0, "volume": 70.0, "delta": 0.3735, "gamma": 0.0291, "vega": 0.0506, "theta": -0.098, "rho": 0.0119, "theo": 2.9031, "change": -0.3, "open": 2.47, "high": 3.15, "low": 2.46, "tick": "no_change", "last_trade_price": 3.05, "last_trade_time": "2026-08-03T15:33:56", "percent_change": -8.95522, "prev_day_close": 3.35000002384186}, {"option": "DRAM260828P00057500", "bid": 8.7, "bid_size": 619.0, "ask": 10.15, "ask_size": 726.0, "iv": 1.0207, "open_interest": 110.0, "volume": 2.0, "delta": -0.6283, "gamma": 0.0292, "vega": 0.0504, "theta": -0.0977, "rho": -0.0231, "theo": 9.1607, "change": 0.32, "open": 9.3, "high": 9.67, "low": 9.3, "tick": "up", "last_trade_price": 9.67, "last_trade_time": "2026-08-03T11:07:49", "percent_change": 3.42246, "prev_day_close": 9.34999990463257}, {"option": "DRAM260828C00058000", "bid": 2.57, "bid_size": 443.0, "ask": 3.0, "ask_size": 529.0, "iv": 0.9724, "open_interest": 222.0, "volume": 46.0, "delta": 0.3606, "gamma": 0.0287, "vega": 0.0501, "theta": -0.0968, "rho": 0.0115, "theo": 2.7631, "change": -0.24, "open": 2.2, "high": 2.85, "low": 2.19, "tick": "up", "last_trade_price": 2.85, "last_trade_time": "2026-08-03T15:51:10", "percent_change": -7.76699, "prev_day_close": 3.08999991416931}, {"option": "DRAM260828P00058000", "bid": 8.9, "bid_size": 488.0, "ask": 9.95, "ask_size": 255.0, "iv": 0.9488, "open_interest": 306.0, "volume": 4.0, "delta": -0.6412, "gamma": 0.0289, "vega": 0.0499, "theta": -0.0965, "rho": -0.0237, "theo": 9.5206, "change": 0.32, "open": 10.35, "high": 10.35, "low": 10.0, "tick": "no_change", "last_trade_price": 10.22, "last_trade_time": "2026-08-03T11:13:46", "percent_change": 3.23233, "prev_day_close": 9.89999961853027}, {"option": "DRAM260828C00058500", "bid": 2.44, "bid_size": 297.0, "ask": 2.92, "ask_size": 530.0, "iv": 0.9778, "open_interest": 144.0, "volume": 11.0, "delta": 0.348, "gamma": 0.0284, "vega": 0.0494, "theta": -0.0955, "rho": 0.0111, "theo": 2.6292, "change": -0.465, "open": 2.23, "high": 2.8, "low": 2.23, "tick": "down", "last_trade_price": 2.6, "last_trade_time": "2026-08-03T14:41:15", "percent_change": -15.1713, "prev_day_close": 3.06500005722046}, {"option": "DRAM260828P00058500", "bid": 9.6, "bid_size": 106.0, "ask": 10.4, "ask_size": 153.0, "iv": 0.9905, "open_interest": 28.0, "volume": 0.0, "delta": -0.654, "gamma": 0.0286, "vega": 0.0493, "theta": -0.0951, "rho": -0.0244, "theo": 9.8862, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.01, "last_trade_time": "2026-07-29T10:16:53", "percent_change": 0.0, "prev_day_close": 10.4000000953674}, {"option": "DRAM260828C00059000", "bid": 2.2, "bid_size": 486.0, "ask": 2.8, "ask_size": 633.0, "iv": 0.9669, "open_interest": 141.0, "volume": 26.0, "delta": 0.3356, "gamma": 0.028, "vega": 0.0487, "theta": -0.0942, "rho": 0.0108, "theo": 2.5012, "change": -0.34, "open": 2.0, "high": 2.46, "low": 1.96, "tick": "down", "last_trade_price": 2.44, "last_trade_time": "2026-08-03T15:24:51", "percent_change": -12.2302, "prev_day_close": 2.77999997138977}, {"option": "DRAM260828P00059000", "bid": 9.8, "bid_size": 232.0, "ask": 10.6, "ask_size": 142.0, "iv": 0.9552, "open_interest": 79.0, "volume": 0.0, "delta": -0.6664, "gamma": 0.0282, "vega": 0.0486, "theta": -0.0937, "rho": -0.0248, "theo": 10.2576, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 10.85, "last_trade_time": "2026-07-31T10:19:06", "percent_change": 0.0, "prev_day_close": 10.75}, {"option": "DRAM260828C00059500", "bid": 2.2, "bid_size": 426.0, "ask": 2.7, "ask_size": 704.0, "iv": 0.9816, "open_interest": 30.0, "volume": 21.0, "delta": 0.3236, "gamma": 0.0276, "vega": 0.048, "theta": -0.0927, "rho": 0.0104, "theo": 2.379, "change": -0.365, "open": 2.0, "high": 2.45, "low": 2.0, "tick": "up", "last_trade_price": 2.45, "last_trade_time": "2026-08-03T14:58:03", "percent_change": -12.9663, "prev_day_close": 2.81500005722046}, {"option": "DRAM260828P00059500", "bid": 10.2, "bid_size": 283.0, "ask": 11.55, "ask_size": 351.0, "iv": 1.0166, "open_interest": 68.0, "volume": 0.0, "delta": -0.6786, "gamma": 0.0278, "vega": 0.0478, "theta": -0.0922, "rho": -0.0247, "theo": 10.635, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.79, "last_trade_time": "2026-07-30T14:18:11", "percent_change": 0.0, "prev_day_close": 10.8499999046326}, {"option": "DRAM260828C00060000", "bid": 2.07, "bid_size": 436.0, "ask": 2.4, "ask_size": 7.0, "iv": 0.9608, "open_interest": 2134.0, "volume": 496.0, "delta": 0.3118, "gamma": 0.0272, "vega": 0.0473, "theta": -0.0912, "rho": 0.01, "theo": 2.2624, "change": -0.255, "open": 1.9, "high": 2.4, "low": 1.5, "tick": "up", "last_trade_price": 2.24, "last_trade_time": "2026-08-03T15:55:16", "percent_change": -10.2204, "prev_day_close": 2.49500000476837}, {"option": "DRAM260828P00060000", "bid": 10.35, "bid_size": 735.0, "ask": 11.6, "ask_size": 439.0, "iv": 0.9573, "open_interest": 521.0, "volume": 8.0, "delta": -0.6904, "gamma": 0.0274, "vega": 0.0469, "theta": -0.0906, "rho": -0.0248, "theo": 11.0183, "change": 0.025, "open": 12.8, "high": 13.5, "low": 11.65, "tick": "down", "last_trade_price": 11.65, "last_trade_time": "2026-08-03T12:17:45", "percent_change": 0.215054, "prev_day_close": 11.625}, {"option": "DRAM260828C00060500", "bid": 1.92, "bid_size": 555.0, "ask": 2.34, "ask_size": 255.0, "iv": 0.9619, "open_interest": 25.0, "volume": 35.0, "delta": 0.3003, "gamma": 0.0268, "vega": 0.0465, "theta": -0.0897, "rho": 0.0097, "theo": 2.151, "change": -0.23, "open": 1.6, "high": 2.25, "low": 1.6, "tick": "down", "last_trade_price": 2.23, "last_trade_time": "2026-08-03T15:51:44", "percent_change": -9.3496, "prev_day_close": 2.46000003814697}, {"option": "DRAM260828P00060500", "bid": 10.9, "bid_size": 180.0, "ask": 12.05, "ask_size": 238.0, "iv": 0.9811, "open_interest": 13.0, "volume": 3.0, "delta": -0.702, "gamma": 0.027, "vega": 0.0462, "theta": -0.089, "rho": -0.0254, "theo": 11.4072, "change": -0.01, "open": 11.54, "high": 11.54, "low": 11.54, "tick": "down", "last_trade_price": 11.54, "last_trade_time": "2026-08-03T14:29:01", "percent_change": -0.0865817, "prev_day_close": 11.5500001907349}, {"option": "DRAM260828C00061000", "bid": 1.92, "bid_size": 183.0, "ask": 2.2, "ask_size": 20.0, "iv": 0.9697, "open_interest": 155.0, "volume": 71.0, "delta": 0.2891, "gamma": 0.0263, "vega": 0.0457, "theta": -0.0881, "rho": 0.0094, "theo": 2.0447, "change": -0.165, "open": 1.97, "high": 2.09, "low": 1.5, "tick": "down", "last_trade_price": 2.06, "last_trade_time": "2026-08-03T15:56:59", "percent_change": -7.41573, "prev_day_close": 2.22500002384186}, {"option": "DRAM260828P00061000", "bid": 11.45, "bid_size": 124.0, "ask": 12.25, "ask_size": 126.0, "iv": 0.9772, "open_interest": 30.0, "volume": 0.0, "delta": -0.7133, "gamma": 0.0265, "vega": 0.0455, "theta": -0.0874, "rho": -0.0259, "theo": 11.8007, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.73, "last_trade_time": "2026-07-31T13:29:56", "percent_change": 0.0, "prev_day_close": 12.1999998092651}, {"option": "DRAM260828C00061500", "bid": 1.7, "bid_size": 691.0, "ask": 2.23, "ask_size": 696.0, "iv": 0.9712, "open_interest": 394.0, "volume": 4.0, "delta": 0.2783, "gamma": 0.0258, "vega": 0.0449, "theta": -0.0864, "rho": 0.009, "theo": 1.9435, "change": -0.66, "open": 1.5, "high": 1.75, "low": 1.5, "tick": "down", "last_trade_price": 1.6, "last_trade_time": "2026-08-03T13:03:44", "percent_change": -29.2035, "prev_day_close": 2.25999999046326}, {"option": "DRAM260828P00061500", "bid": 11.85, "bid_size": 159.0, "ask": 12.45, "ask_size": 6.0, "iv": 0.9553, "open_interest": 12.0, "volume": 0.0, "delta": -0.7242, "gamma": 0.026, "vega": 0.0447, "theta": -0.0857, "rho": -0.0264, "theo": 12.199, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.1, "last_trade_time": "2026-07-31T10:04:53", "percent_change": 0.0, "prev_day_close": 12.7249999046326}, {"option": "DRAM260828C00062000", "bid": 1.75, "bid_size": 118.0, "ask": 1.95, "ask_size": 5.0, "iv": 0.9671, "open_interest": 225.0, "volume": 105.0, "delta": 0.2677, "gamma": 0.0253, "vega": 0.044, "theta": -0.0847, "rho": 0.0087, "theo": 1.847, "change": -0.34, "open": 1.59, "high": 1.87, "low": 1.27, "tick": "down", "last_trade_price": 1.75, "last_trade_time": "2026-08-03T15:56:52", "percent_change": -16.2679, "prev_day_close": 2.08999997377396}, {"option": "DRAM260828P00062000", "bid": 12.0, "bid_size": 392.0, "ask": 13.5, "ask_size": 390.0, "iv": 1.0, "open_interest": 72.0, "volume": 0.0, "delta": -0.7348, "gamma": 0.0256, "vega": 0.0437, "theta": -0.0839, "rho": -0.0261, "theo": 12.6022, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.84, "last_trade_time": "2026-07-31T15:11:51", "percent_change": 0.0, "prev_day_close": 13.0750002861023}, {"option": "DRAM260828C00062500", "bid": 1.49, "bid_size": 771.0, "ask": 2.02, "ask_size": 623.0, "iv": 0.9666, "open_interest": 73.0, "volume": 26.0, "delta": 0.2575, "gamma": 0.0248, "vega": 0.0431, "theta": -0.083, "rho": 0.0084, "theo": 1.7552, "change": -0.335, "open": 1.53, "high": 1.8, "low": 1.3, "tick": "up", "last_trade_price": 1.8, "last_trade_time": "2026-08-03T15:55:11", "percent_change": -15.6909, "prev_day_close": 2.13499999046326}, {"option": "DRAM260828P00062500", "bid": 12.4, "bid_size": 286.0, "ask": 13.95, "ask_size": 320.0, "iv": 1.0047, "open_interest": 24.0, "volume": 1.0, "delta": -0.7452, "gamma": 0.025, "vega": 0.0428, "theta": -0.0822, "rho": -0.0262, "theo": 13.0103, "change": 1.85, "open": 15.1, "high": 15.1, "low": 15.1, "tick": "up", "last_trade_price": 15.1, "last_trade_time": "2026-08-03T10:07:03", "percent_change": 13.9623, "prev_day_close": 13.25}, {"option": "DRAM260828C00063000", "bid": 1.52, "bid_size": 421.0, "ask": 1.9, "ask_size": 448.0, "iv": 0.9768, "open_interest": 174.0, "volume": 29.0, "delta": 0.2475, "gamma": 0.0243, "vega": 0.0422, "theta": -0.0813, "rho": 0.008, "theo": 1.6677, "change": -0.165, "open": 1.35, "high": 1.77, "low": 1.3, "tick": "up", "last_trade_price": 1.77, "last_trade_time": "2026-08-03T13:58:45", "percent_change": -8.52713, "prev_day_close": 1.93500006198883}, {"option": "DRAM260828P00063000", "bid": 12.75, "bid_size": 376.0, "ask": 14.35, "ask_size": 281.0, "iv": 0.9969, "open_interest": 66.0, "volume": 3.0, "delta": -0.7552, "gamma": 0.0245, "vega": 0.0418, "theta": -0.0804, "rho": -0.0264, "theo": 13.4233, "change": 0.385, "open": 14.05, "high": 14.05, "low": 14.01, "tick": "down", "last_trade_price": 14.01, "last_trade_time": "2026-08-03T12:59:22", "percent_change": 2.82569, "prev_day_close": 13.625}, {"option": "DRAM260828C00063500", "bid": 1.4, "bid_size": 263.0, "ask": 1.79, "ask_size": 301.0, "iv": 0.9696, "open_interest": 63.0, "volume": 17.0, "delta": 0.2379, "gamma": 0.0238, "vega": 0.0414, "theta": -0.0796, "rho": 0.0078, "theo": 1.5844, "change": -0.245, "open": 1.3, "high": 1.6, "low": 1.2, "tick": "up", "last_trade_price": 1.6, "last_trade_time": "2026-08-03T15:01:25", "percent_change": -13.2791, "prev_day_close": 1.84500002861023}, {"option": "DRAM260828P00063500", "bid": 13.35, "bid_size": 151.0, "ask": 14.7, "ask_size": 204.0, "iv": 1.0117, "open_interest": 48.0, "volume": 0.0, "delta": -0.765, "gamma": 0.024, "vega": 0.041, "theta": -0.0786, "rho": -0.0269, "theo": 13.8403, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 14.38, "last_trade_time": "2026-07-31T12:20:34", "percent_change": 0.0, "prev_day_close": 13.9749999046326}, {"option": "DRAM260828C00064000", "bid": 1.36, "bid_size": 352.0, "ask": 1.72, "ask_size": 338.0, "iv": 0.976, "open_interest": 113.0, "volume": 71.0, "delta": 0.2286, "gamma": 0.0232, "vega": 0.0404, "theta": -0.0778, "rho": 0.0074, "theo": 1.5052, "change": -0.47, "open": 1.16, "high": 1.58, "low": 1.16, "tick": "down", "last_trade_price": 1.3, "last_trade_time": "2026-08-03T15:59:05", "percent_change": -26.5537, "prev_day_close": 1.76999998092651}, {"option": "DRAM260828P00064000", "bid": 13.8, "bid_size": 156.0, "ask": 14.7, "ask_size": 115.0, "iv": 0.9647, "open_interest": 33.0, "volume": 6.0, "delta": -0.7744, "gamma": 0.0235, "vega": 0.0401, "theta": -0.0767, "rho": -0.0274, "theo": 14.2609, "change": -0.155, "open": 16.62, "high": 16.62, "low": 14.27, "tick": "no_change", "last_trade_price": 14.27, "last_trade_time": "2026-08-03T14:49:46", "percent_change": -1.07452, "prev_day_close": 14.4249997138977}, {"option": "DRAM260828C00064500", "bid": 1.11, "bid_size": 501.0, "ask": 1.71, "ask_size": 615.0, "iv": 0.9628, "open_interest": 76.0, "volume": 7.0, "delta": 0.2196, "gamma": 0.0227, "vega": 0.0395, "theta": -0.076, "rho": 0.0072, "theo": 1.4298, "change": -0.37, "open": 1.34, "high": 1.35, "low": 1.34, "tick": "up", "last_trade_price": 1.35, "last_trade_time": "2026-08-03T13:17:37", "percent_change": -21.5116, "prev_day_close": 1.71999996900558}, {"option": "DRAM260828P00064500", "bid": 14.0, "bid_size": 246.0, "ask": 15.55, "ask_size": 241.0, "iv": 0.9905, "open_interest": 4.0, "volume": 0.0, "delta": -0.7835, "gamma": 0.023, "vega": 0.0392, "theta": -0.0749, "rho": -0.0276, "theo": 14.6853, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 17.65, "last_trade_time": "2026-07-28T14:34:00", "percent_change": 0.0, "prev_day_close": 14.8250002861023}, {"option": "DRAM260828C00065000", "bid": 1.06, "bid_size": 1307.0, "ask": 1.5, "ask_size": 130.0, "iv": 0.9477, "open_interest": 6224.0, "volume": 376.0, "delta": 0.2109, "gamma": 0.0222, "vega": 0.0386, "theta": -0.0742, "rho": 0.0069, "theo": 1.3582, "change": -0.2, "open": 1.2, "high": 1.43, "low": 1.02, "tick": "up", "last_trade_price": 1.35, "last_trade_time": "2026-08-03T15:23:18", "percent_change": -12.9032, "prev_day_close": 1.55000001192093}, {"option": "DRAM260828P00065000", "bid": 13.8, "bid_size": 617.0, "ask": 15.75, "ask_size": 294.0, "iv": 0.8744, "open_interest": 281.0, "volume": 7.0, "delta": -0.7923, "gamma": 0.0224, "vega": 0.0381, "theta": -0.0731, "rho": -0.027, "theo": 15.1138, "change": -0.11, "open": 17.75, "high": 17.75, "low": 15.39, "tick": "down", "last_trade_price": 15.39, "last_trade_time": "2026-08-03T15:07:23", "percent_change": -0.709677, "prev_day_close": 15.5}, {"option": "DRAM260828C00065500", "bid": 1.15, "bid_size": 295.0, "ask": 1.54, "ask_size": 602.0, "iv": 0.9833, "open_interest": 37.0, "volume": 2.0, "delta": 0.2024, "gamma": 0.0216, "vega": 0.0377, "theta": -0.0724, "rho": 0.0066, "theo": 1.2902, "change": -0.21, "open": 1.34, "high": 1.34, "low": 1.34, "tick": "no_change", "last_trade_price": 1.34, "last_trade_time": "2026-08-03T15:23:24", "percent_change": -13.5484, "prev_day_close": 1.55000001192093}, {"option": "DRAM260828P00065500", "bid": 14.85, "bid_size": 146.0, "ask": 16.45, "ask_size": 188.0, "iv": 0.9965, "open_interest": 1.0, "volume": 0.0, "delta": -0.8009, "gamma": 0.0219, "vega": 0.0371, "theta": -0.0712, "rho": -0.0271, "theo": 15.546, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 8.7, "last_trade_time": "2026-07-09T09:43:20", "percent_change": 0.0, "prev_day_close": 15.75}, {"option": "DRAM260828C00066000", "bid": 0.98, "bid_size": 541.0, "ask": 1.3, "ask_size": 1.0, "iv": 0.9456, "open_interest": 131.0, "volume": 16.0, "delta": 0.1943, "gamma": 0.0211, "vega": 0.0368, "theta": -0.0707, "rho": 0.0064, "theo": 1.2256, "change": -0.135, "open": 1.0, "high": 1.26, "low": 1.0, "tick": "up", "last_trade_price": 1.26, "last_trade_time": "2026-08-03T15:45:13", "percent_change": -9.67742, "prev_day_close": 1.39500004053116}, {"option": "DRAM260828P00066000", "bid": 15.3, "bid_size": 155.0, "ask": 16.9, "ask_size": 179.0, "iv": 1.0017, "open_interest": 29.0, "volume": 4.0, "delta": -0.8091, "gamma": 0.0214, "vega": 0.0361, "theta": -0.0694, "rho": -0.0272, "theo": 15.982, "change": 0.72, "open": 16.92, "high": 16.92, "low": 16.92, "tick": "up", "last_trade_price": 16.92, "last_trade_time": "2026-08-03T12:05:54", "percent_change": 4.44445, "prev_day_close": 16.1999998092651}, {"option": "DRAM260828C00066500", "bid": 0.86, "bid_size": 599.0, "ask": 1.36, "ask_size": 304.0, "iv": 0.9546, "open_interest": 27.0, "volume": 2.0, "delta": 0.1865, "gamma": 0.0205, "vega": 0.0358, "theta": -0.0689, "rho": 0.0061, "theo": 1.1641, "change": -0.285, "open": 1.18, "high": 1.18, "low": 1.18, "tick": "down", "last_trade_price": 1.18, "last_trade_time": "2026-08-03T15:47:01", "percent_change": -19.4539, "prev_day_close": 1.4650000333786}, {"option": "DRAM260828P00066500", "bid": 15.75, "bid_size": 160.0, "ask": 17.3, "ask_size": 132.0, "iv": 0.9992, "open_interest": 0.0, "volume": 1.0, "delta": -0.817, "gamma": 0.0208, "vega": 0.0353, "theta": -0.0676, "rho": -0.0276, "theo": 16.4209, "change": 0.93, "open": 17.53, "high": 17.53, "low": 17.53, "tick": "up", "last_trade_price": 17.53, "last_trade_time": "2026-08-03T12:09:43", "percent_change": 5.60241, "prev_day_close": 16.6000003814697}, {"option": "DRAM260828C00067000", "bid": 0.93, "bid_size": 416.0, "ask": 1.23, "ask_size": 130.0, "iv": 0.9632, "open_interest": 115.0, "volume": 30.0, "delta": 0.1789, "gamma": 0.02, "vega": 0.0349, "theta": -0.0671, "rho": 0.0059, "theo": 1.1057, "change": -0.26, "open": 0.95, "high": 1.11, "low": 0.9, "tick": "up", "last_trade_price": 1.11, "last_trade_time": "2026-08-03T14:28:57", "percent_change": -18.9781, "prev_day_close": 1.37000000476837}, {"option": "DRAM260828P00067000", "bid": 16.3, "bid_size": 164.0, "ask": 17.85, "ask_size": 234.0, "iv": 1.0307, "open_interest": 34.0, "volume": 3.0, "delta": -0.8247, "gamma": 0.0203, "vega": 0.0345, "theta": -0.0658, "rho": -0.028, "theo": 16.8627, "change": 0.67, "open": 18.7, "high": 18.7, "low": 17.72, "tick": "down", "last_trade_price": 17.72, "last_trade_time": "2026-08-03T10:43:40", "percent_change": 3.92962, "prev_day_close": 17.0500001907349}, {"option": "DRAM260828C00067500", "bid": 0.75, "bid_size": 648.0, "ask": 1.24, "ask_size": 384.0, "iv": 0.9548, "open_interest": 44.0, "volume": 15.0, "delta": 0.1716, "gamma": 0.0195, "vega": 0.034, "theta": -0.0654, "rho": 0.0056, "theo": 1.0503, "change": -0.26, "open": 0.85, "high": 1.04, "low": 0.83, "tick": "up", "last_trade_price": 1.04, "last_trade_time": "2026-08-03T14:38:26", "percent_change": -20.0, "prev_day_close": 1.29999995231628}, {"option": "DRAM260828P00067500", "bid": 16.7, "bid_size": 227.0, "ask": 18.3, "ask_size": 215.0, "iv": 1.0273, "open_interest": 3.0, "volume": 0.0, "delta": -0.8321, "gamma": 0.0198, "vega": 0.0336, "theta": -0.064, "rho": -0.0282, "theo": 17.3072, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.83, "last_trade_time": "2026-07-31T11:36:20", "percent_change": 0.0, "prev_day_close": 17.4750003814697}, {"option": "DRAM260828C00068000", "bid": 0.92, "bid_size": 212.0, "ask": 1.08, "ask_size": 2.0, "iv": 0.9728, "open_interest": 126.0, "volume": 54.0, "delta": 0.1646, "gamma": 0.0189, "vega": 0.0331, "theta": -0.0636, "rho": 0.0054, "theo": 0.9977, "change": -0.195, "open": 0.84, "high": 1.0, "low": 0.8, "tick": "no_change", "last_trade_price": 0.97, "last_trade_time": "2026-08-03T15:29:14", "percent_change": -16.7382, "prev_day_close": 1.16500002145767}, {"option": "DRAM260828P00068000", "bid": 17.15, "bid_size": 272.0, "ask": 18.3, "ask_size": 150.0, "iv": 0.9627, "open_interest": 95.0, "volume": 2.0, "delta": -0.8392, "gamma": 0.0192, "vega": 0.0325, "theta": -0.0622, "rho": -0.0273, "theo": 17.7548, "change": 0.35, "open": 18.35, "high": 18.35, "low": 18.35, "tick": "up", "last_trade_price": 18.35, "last_trade_time": "2026-08-03T13:35:12", "percent_change": 1.94444, "prev_day_close": 18.0}, {"option": "DRAM260828C00068500", "bid": 0.74, "bid_size": 399.0, "ask": 1.0, "ask_size": 3.0, "iv": 0.9481, "open_interest": 14.0, "volume": 4.0, "delta": 0.1579, "gamma": 0.0184, "vega": 0.0322, "theta": -0.0619, "rho": 0.0052, "theo": 0.9479, "change": -0.245, "open": 0.8, "high": 0.95, "low": 0.8, "tick": "no_change", "last_trade_price": 0.95, "last_trade_time": "2026-08-03T15:39:13", "percent_change": -20.5021, "prev_day_close": 1.19500002264976}, {"option": "DRAM260828P00068500", "bid": 17.6, "bid_size": 146.0, "ask": 18.5, "ask_size": 17.0, "iv": 0.9211, "open_interest": 14.0, "volume": 0.0, "delta": -0.8461, "gamma": 0.0187, "vega": 0.0314, "theta": -0.0604, "rho": -0.0272, "theo": 18.2054, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.97, "last_trade_time": "2026-07-24T12:03:45", "percent_change": 0.0, "prev_day_close": 18.4249992370605}, {"option": "DRAM260828C00069000", "bid": 0.71, "bid_size": 793.0, "ask": 1.2, "ask_size": 873.0, "iv": 0.991, "open_interest": 91.0, "volume": 5.0, "delta": 0.1514, "gamma": 0.0179, "vega": 0.0313, "theta": -0.0602, "rho": 0.005, "theo": 0.9005, "change": -0.455, "open": 0.7, "high": 0.75, "low": 0.7, "tick": "no_change", "last_trade_price": 0.75, "last_trade_time": "2026-08-03T12:21:27", "percent_change": -37.7593, "prev_day_close": 1.20500001311302}, {"option": "DRAM260828P00069000", "bid": 17.95, "bid_size": 200.0, "ask": 19.6, "ask_size": 247.0, "iv": 1.0111, "open_interest": 28.0, "volume": 3.0, "delta": -0.8527, "gamma": 0.0182, "vega": 0.0304, "theta": -0.0586, "rho": -0.0272, "theo": 18.6589, "change": -0.215, "open": 18.76, "high": 18.76, "low": 18.61, "tick": "no_change", "last_trade_price": 18.61, "last_trade_time": "2026-08-03T15:46:40", "percent_change": -1.1421, "prev_day_close": 18.8249998092651}, {"option": "DRAM260828C00069500", "bid": 0.65, "bid_size": 548.0, "ask": 1.2, "ask_size": 1010.0, "iv": 0.9972, "open_interest": 11.0, "volume": 1.0, "delta": 0.1451, "gamma": 0.0174, "vega": 0.0304, "theta": -0.0586, "rho": 0.0048, "theo": 0.8555, "change": -0.3, "open": 0.86, "high": 0.86, "low": 0.86, "tick": "down", "last_trade_price": 0.86, "last_trade_time": "2026-08-03T14:22:48", "percent_change": -25.8621, "prev_day_close": 1.15999999642372}, {"option": "DRAM260828P00069500", "bid": 18.4, "bid_size": 200.0, "ask": 20.0, "ask_size": 139.0, "iv": 1.0031, "open_interest": 0.0, "volume": 0.0, "delta": -0.859, "gamma": 0.0177, "vega": 0.0296, "theta": -0.0569, "rho": -0.0276, "theo": 19.1146, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.05, "last_trade_time": "2026-07-23T10:33:37", "percent_change": 0.0, "prev_day_close": 19.3000001907349}, {"option": "DRAM260828C00070000", "bid": 0.68, "bid_size": 685.0, "ask": 0.99, "ask_size": 604.0, "iv": 0.983, "open_interest": 2684.0, "volume": 205.0, "delta": 0.1391, "gamma": 0.0169, "vega": 0.0296, "theta": -0.0569, "rho": 0.0046, "theo": 0.8129, "change": -0.13, "open": 0.7, "high": 0.99, "low": 0.45, "tick": "down", "last_trade_price": 0.81, "last_trade_time": "2026-08-03T15:55:55", "percent_change": -13.8298, "prev_day_close": 0.940000027418136}, {"option": "DRAM260828P00070000", "bid": 18.75, "bid_size": 198.0, "ask": 19.95, "ask_size": 8.0, "iv": 0.8917, "open_interest": 33.0, "volume": 4.0, "delta": -0.8651, "gamma": 0.0172, "vega": 0.0289, "theta": -0.0552, "rho": -0.0277, "theo": 19.5724, "change": 0.95, "open": 21.87, "high": 21.87, "low": 20.75, "tick": "down", "last_trade_price": 20.75, "last_trade_time": "2026-08-03T10:36:24", "percent_change": 4.79798, "prev_day_close": 19.7999992370605}, {"option": "DRAM260828C00070500", "bid": 0.58, "bid_size": 630.0, "ask": 1.09, "ask_size": 1066.0, "iv": 0.998, "open_interest": 48.0, "volume": 4.0, "delta": 0.1333, "gamma": 0.0164, "vega": 0.0287, "theta": -0.0553, "rho": 0.0044, "theo": 0.7724, "change": -0.17, "open": 0.87, "high": 0.87, "low": 0.77, "tick": "down", "last_trade_price": 0.77, "last_trade_time": "2026-08-03T15:25:47", "percent_change": -18.0851, "prev_day_close": 0.940000027418136}, {"option": "DRAM260828P00070500", "bid": 19.3, "bid_size": 171.0, "ask": 20.85, "ask_size": 210.0, "iv": 0.9916, "open_interest": 2.0, "volume": 0.0, "delta": -0.871, "gamma": 0.0167, "vega": 0.0281, "theta": -0.0536, "rho": -0.0279, "theo": 20.0322, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.23, "last_trade_time": "2026-07-23T13:58:05", "percent_change": 0.0, "prev_day_close": 20.4000005722046}, {"option": "DRAM260828C00071000", "bid": 0.61, "bid_size": 482.0, "ask": 1.04, "ask_size": 1096.0, "iv": 1.0095, "open_interest": 139.0, "volume": 16.0, "delta": 0.1278, "gamma": 0.0159, "vega": 0.0279, "theta": -0.0537, "rho": 0.0042, "theo": 0.734, "change": -0.2, "open": 0.63, "high": 0.75, "low": 0.63, "tick": "down", "last_trade_price": 0.74, "last_trade_time": "2026-08-03T15:23:52", "percent_change": -21.2766, "prev_day_close": 0.939999997615814}, {"option": "DRAM260828P00071000", "bid": 20.0, "bid_size": 169.0, "ask": 21.25, "ask_size": 150.0, "iv": 1.0241, "open_interest": 3.0, "volume": 0.0, "delta": -0.8767, "gamma": 0.0162, "vega": 0.0272, "theta": -0.0519, "rho": -0.0276, "theo": 20.494, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.0, "last_trade_time": "2026-07-21T10:05:37", "percent_change": 0.0, "prev_day_close": 20.7250003814697}, {"option": "DRAM260828C00072000", "bid": 0.41, "bid_size": 1152.0, "ask": 0.9, "ask_size": 1001.0, "iv": 0.9769, "open_interest": 153.0, "volume": 13.0, "delta": 0.1172, "gamma": 0.0149, "vega": 0.0262, "theta": -0.0506, "rho": 0.0039, "theo": 0.662, "change": -0.075, "open": 0.82, "high": 0.82, "low": 0.58, "tick": "up", "last_trade_price": 0.7, "last_trade_time": "2026-08-03T15:52:16", "percent_change": -9.67742, "prev_day_close": 0.774999976158142}, {"option": "DRAM260828P00072000", "bid": 20.7, "bid_size": 113.0, "ask": 22.2, "ask_size": 124.0, "iv": 0.9896, "open_interest": 9.0, "volume": 0.0, "delta": -0.8873, "gamma": 0.0153, "vega": 0.0253, "theta": -0.0487, "rho": -0.0268, "theo": 21.4245, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.83, "last_trade_time": "2026-07-23T12:13:22", "percent_change": 0.0, "prev_day_close": 21.6499996185303}, {"option": "DRAM260828C00073000", "bid": 0.5, "bid_size": 563.0, "ask": 0.94, "ask_size": 1239.0, "iv": 1.0294, "open_interest": 262.0, "volume": 15.0, "delta": 0.1076, "gamma": 0.014, "vega": 0.0247, "theta": -0.0476, "rho": 0.0036, "theo": 0.5983, "change": -0.035, "open": 0.62, "high": 0.72, "low": 0.62, "tick": "up", "last_trade_price": 0.72, "last_trade_time": "2026-08-03T15:54:42", "percent_change": -4.63576, "prev_day_close": 0.754999995231628}, {"option": "DRAM260828P00073000", "bid": 21.6, "bid_size": 41.0, "ask": 23.3, "ask_size": 60.0, "iv": 1.0179, "open_interest": 13.0, "volume": 0.0, "delta": -0.8971, "gamma": 0.0144, "vega": 0.0237, "theta": -0.0456, "rho": -0.0267, "theo": 22.3625, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.45, "last_trade_time": "2026-07-30T14:57:59", "percent_change": 0.0, "prev_day_close": 22.5249996185303}, {"option": "DRAM260828C00074000", "bid": 0.33, "bid_size": 1123.0, "ask": 0.87, "ask_size": 1248.0, "iv": 1.0092, "open_interest": 135.0, "volume": 7.0, "delta": 0.0988, "gamma": 0.0131, "vega": 0.0232, "theta": -0.0448, "rho": 0.0033, "theo": 0.5409, "change": -0.245, "open": 0.45, "high": 0.49, "low": 0.45, "tick": "no_change", "last_trade_price": 0.49, "last_trade_time": "2026-08-03T15:30:02", "percent_change": -33.3333, "prev_day_close": 0.735000014305115}, {"option": "DRAM260828P00074000", "bid": 22.55, "bid_size": 59.0, "ask": 24.25, "ask_size": 58.0, "iv": 1.0248, "open_interest": 16.0, "volume": 0.0, "delta": -0.9062, "gamma": 0.0135, "vega": 0.0223, "theta": -0.0427, "rho": -0.0267, "theo": 23.3063, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.82, "last_trade_time": "2026-07-31T13:38:15", "percent_change": 0.0, "prev_day_close": 23.375}, {"option": "DRAM260828C00075000", "bid": 0.38, "bid_size": 730.0, "ask": 0.55, "ask_size": 122.0, "iv": 0.975, "open_interest": 763.0, "volume": 21.0, "delta": 0.0907, "gamma": 0.0123, "vega": 0.0218, "theta": -0.0421, "rho": 0.003, "theo": 0.4894, "change": -0.195, "open": 0.35, "high": 0.5, "low": 0.35, "tick": "up", "last_trade_price": 0.5, "last_trade_time": "2026-08-03T15:41:26", "percent_change": -28.0576, "prev_day_close": 0.695000022649765}, {"option": "DRAM260828P00075000", "bid": 23.4, "bid_size": 73.0, "ask": 25.25, "ask_size": 77.0, "iv": 1.0189, "open_interest": 29.0, "volume": 0.0, "delta": -0.9146, "gamma": 0.0127, "vega": 0.0206, "theta": -0.0399, "rho": -0.0255, "theo": 24.2559, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 26.88, "last_trade_time": "2026-07-30T09:35:21", "percent_change": 0.0, "prev_day_close": 24.4499998092651}, {"option": "DRAM260828C00080000", "bid": 0.2, "bid_size": 490.0, "ask": 0.34, "ask_size": 150.0, "iv": 0.9802, "open_interest": 906.0, "volume": 168.0, "delta": 0.0593, "gamma": 0.0088, "vega": 0.0157, "theta": -0.0305, "rho": 0.002, "theo": 0.2996, "change": -0.105, "open": 0.29, "high": 0.3, "low": 0.2, "tick": "no_change", "last_trade_price": 0.29, "last_trade_time": "2026-08-03T15:20:37", "percent_change": -26.5823, "prev_day_close": 0.394999988377094}, {"option": "DRAM260828P00080000", "bid": 28.2, "bid_size": 59.0, "ask": 30.05, "ask_size": 58.0, "iv": 1.0334, "open_interest": 10.0, "volume": 0.0, "delta": -0.9472, "gamma": 0.0092, "vega": 0.014, "theta": -0.028, "rho": -0.0231, "theo": 29.0758, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.94, "last_trade_time": "2026-07-30T14:59:30", "percent_change": 0.0, "prev_day_close": 29.1749992370606}, {"option": "DRAM260828C00085000", "bid": 0.12, "bid_size": 1.0, "ask": 0.43, "ask_size": 2065.0, "iv": 1.0855, "open_interest": 835.0, "volume": 9.0, "delta": 0.039, "gamma": 0.0062, "vega": 0.0112, "theta": -0.022, "rho": 0.0013, "theo": 0.1869, "change": -0.125, "open": 0.16, "high": 0.19, "low": 0.16, "tick": "down", "last_trade_price": 0.17, "last_trade_time": "2026-08-03T14:22:53", "percent_change": -42.3729, "prev_day_close": 0.294999994337559}, {"option": "DRAM260828P00085000", "bid": 33.1, "bid_size": 61.0, "ask": 34.95, "ask_size": 53.0, "iv": 1.0639, "open_interest": 0.0, "volume": 0.0, "delta": -0.9688, "gamma": 0.0067, "vega": 0.009, "theta": -0.0193, "rho": -0.017, "theo": 33.9758, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 26.45, "last_trade_time": "2026-07-14T11:10:10", "percent_change": 0.0, "prev_day_close": 34.0249996185303}, {"option": "DRAM260828C00090000", "bid": 0.05, "bid_size": 17.0, "ask": 0.27, "ask_size": 1406.0, "iv": 1.0777, "open_interest": 72.0, "volume": 1.0, "delta": 0.026, "gamma": 0.0043, "vega": 0.008, "theta": -0.0158, "rho": 0.0009, "theo": 0.119, "change": -0.125, "open": 0.12, "high": 0.12, "low": 0.12, "tick": "down", "last_trade_price": 0.12, "last_trade_time": "2026-08-03T12:28:55", "percent_change": -51.0204, "prev_day_close": 0.244999994523823}, {"option": "DRAM260828P00090000", "bid": 38.05, "bid_size": 10.0, "ask": 39.95, "ask_size": 20.0, "iv": 1.1354, "open_interest": 0.0, "volume": 0.0, "delta": -0.9835, "gamma": 0.0052, "vega": 0.0052, "theta": -0.0121, "rho": -0.0116, "theo": 38.9233, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 30.97, "last_trade_time": "2026-07-14T11:10:10", "percent_change": 0.0, "prev_day_close": 39.0}, {"option": "DRAM260828C00095000", "bid": 0.01, "bid_size": 37.0, "ask": 0.1, "ask_size": 3.0, "iv": 1.0017, "open_interest": 212.0, "volume": 0.0, "delta": 0.0176, "gamma": 0.0031, "vega": 0.0058, "theta": -0.0114, "rho": 0.0006, "theo": 0.0774, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.14, "last_trade_time": "2026-07-31T15:34:08", "percent_change": 0.0, "prev_day_close": 0.175000001676381}, {"option": "DRAM260828P00095000", "bid": 42.95, "bid_size": 2.0, "ask": 44.9, "ask_size": 11.0, "iv": 1.1178, "open_interest": 0.0, "volume": 0.0, "delta": -0.9931, "gamma": 0.0034, "vega": 0.0019, "theta": -0.008, "rho": -0.0055, "theo": 43.9008, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 40.35, "last_trade_time": "2026-07-24T10:01:30", "percent_change": 0.0, "prev_day_close": 43.9250011444092}, {"option": "DRAM260904C00030000", "bid": 20.5, "bid_size": 49.0, "ask": 22.4, "ask_size": 70.0, "iv": 1.133, "open_interest": 15.0, "volume": 0.0, "delta": 0.9587, "gamma": 0.005, "vega": 0.0132, "theta": -0.0204, "rho": 0.0264, "theo": 21.462, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.6, "last_trade_time": "2026-07-30T10:35:09", "percent_change": 0.0, "prev_day_close": 21.6999998092651}, {"option": "DRAM260904P00030000", "bid": 0.24, "bid_size": 410.0, "ask": 0.4, "ask_size": 589.0, "iv": 1.1457, "open_interest": 41.0, "volume": 111.0, "delta": -0.0405, "gamma": 0.005, "vega": 0.0132, "theta": -0.023, "rho": -0.0021, "theo": 0.3157, "change": -0.13, "open": 0.47, "high": 0.5, "low": 0.23, "tick": "up", "last_trade_price": 0.34, "last_trade_time": "2026-08-03T14:51:46", "percent_change": -27.6596, "prev_day_close": 0.469999983906746}, {"option": "DRAM260904C00031000", "bid": 19.7, "bid_size": 65.0, "ask": 21.6, "ask_size": 88.0, "iv": 1.2027, "open_interest": 0.0, "volume": 0.0, "delta": 0.9513, "gamma": 0.0058, "vega": 0.015, "theta": -0.0236, "rho": 0.0269, "theo": 20.5304, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.75}, {"option": "DRAM260904P00031000", "bid": 0.15, "bid_size": 933.0, "ask": 0.79, "ask_size": 1146.0, "iv": 1.185, "open_interest": 34.0, "volume": 0.0, "delta": -0.048, "gamma": 0.0058, "vega": 0.0151, "theta": -0.0261, "rho": -0.0025, "theo": 0.38, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.43, "last_trade_time": "2026-07-31T13:20:18", "percent_change": 0.0, "prev_day_close": 0.424999989569187}, {"option": "DRAM260904C00032000", "bid": 18.6, "bid_size": 66.0, "ask": 20.6, "ask_size": 84.0, "iv": 1.1087, "open_interest": 0.0, "volume": 0.0, "delta": 0.9428, "gamma": 0.0067, "vega": 0.0172, "theta": -0.0271, "rho": 0.0274, "theo": 19.6095, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.7749996185303}, {"option": "DRAM260904P00032000", "bid": 0.37, "bid_size": 365.0, "ask": 0.62, "ask_size": 739.0, "iv": 1.1373, "open_interest": 154.0, "volume": 5.0, "delta": -0.0565, "gamma": 0.0067, "vega": 0.0172, "theta": -0.0294, "rho": -0.0029, "theo": 0.4552, "change": -0.07, "open": 0.62, "high": 0.62, "low": 0.46, "tick": "down", "last_trade_price": 0.46, "last_trade_time": "2026-08-03T15:56:08", "percent_change": -13.2075, "prev_day_close": 0.530000001192093}, {"option": "DRAM260904C00033000", "bid": 17.7, "bid_size": 47.0, "ask": 19.7, "ask_size": 84.0, "iv": 1.1011, "open_interest": 1.0, "volume": 0.0, "delta": 0.9332, "gamma": 0.0077, "vega": 0.0194, "theta": -0.0307, "rho": 0.0278, "theo": 18.7006, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.54, "last_trade_time": "2026-07-29T13:16:53", "percent_change": 0.0, "prev_day_close": 18.875}, {"option": "DRAM260904P00033000", "bid": 0.37, "bid_size": 587.0, "ask": 0.68, "ask_size": 522.0, "iv": 1.0924, "open_interest": 1.0, "volume": 12.0, "delta": -0.0661, "gamma": 0.0077, "vega": 0.0194, "theta": -0.0329, "rho": -0.0034, "theo": 0.5422, "change": 0.02, "open": 0.78, "high": 0.78, "low": 0.54, "tick": "up", "last_trade_price": 0.7, "last_trade_time": "2026-08-03T10:29:48", "percent_change": 2.94118, "prev_day_close": 0.679999992251396}, {"option": "DRAM260904C00034000", "bid": 16.8, "bid_size": 67.0, "ask": 18.85, "ask_size": 91.0, "iv": 1.0984, "open_interest": 0.0, "volume": 0.0, "delta": 0.9225, "gamma": 0.0087, "vega": 0.0218, "theta": -0.0345, "rho": 0.0281, "theo": 17.805, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.0500001907349}, {"option": "DRAM260904P00034000", "bid": 0.38, "bid_size": 696.0, "ask": 0.84, "ask_size": 668.0, "iv": 1.0739, "open_interest": 2.0, "volume": 46.0, "delta": -0.0768, "gamma": 0.0087, "vega": 0.0218, "theta": -0.0366, "rho": -0.0039, "theo": 0.6427, "change": -0.065, "open": 0.84, "high": 0.84, "low": 0.68, "tick": "down", "last_trade_price": 0.68, "last_trade_time": "2026-08-03T11:08:23", "percent_change": -8.72483, "prev_day_close": 0.745000004768372}, {"option": "DRAM260904C00035000", "bid": 16.1, "bid_size": 39.0, "ask": 17.85, "ask_size": 76.0, "iv": 1.0984, "open_interest": 1.0, "volume": 0.0, "delta": 0.9105, "gamma": 0.0098, "vega": 0.0243, "theta": -0.0385, "rho": 0.0284, "theo": 16.9242, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.39, "last_trade_time": "2026-07-29T15:21:50", "percent_change": 0.0, "prev_day_close": 17.1999998092651}, {"option": "DRAM260904P00035000", "bid": 0.7, "bid_size": 2.0, "ask": 0.95, "ask_size": 662.0, "iv": 1.1049, "open_interest": 392.0, "volume": 158.0, "delta": -0.0888, "gamma": 0.0098, "vega": 0.0243, "theta": -0.0405, "rho": -0.0046, "theo": 0.758, "change": -0.15, "open": 0.91, "high": 1.11, "low": 0.77, "tick": "no_change", "last_trade_price": 0.77, "last_trade_time": "2026-08-03T14:56:10", "percent_change": -16.3043, "prev_day_close": 0.919999986886978}, {"option": "DRAM260904C00036000", "bid": 15.2, "bid_size": 39.0, "ask": 16.95, "ask_size": 80.0, "iv": 1.0724, "open_interest": 0.0, "volume": 0.0, "delta": 0.8973, "gamma": 0.011, "vega": 0.0269, "theta": -0.0426, "rho": 0.0286, "theo": 16.0595, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 16.3000001907349}, {"option": "DRAM260904P00036000", "bid": 0.7, "bid_size": 517.0, "ask": 1.13, "ask_size": 712.0, "iv": 1.0761, "open_interest": 24.0, "volume": 8.0, "delta": -0.1021, "gamma": 0.011, "vega": 0.027, "theta": -0.0445, "rho": -0.0052, "theo": 0.8895, "change": -0.14, "open": 1.3, "high": 1.3, "low": 0.87, "tick": "up", "last_trade_price": 0.94, "last_trade_time": "2026-08-03T13:51:38", "percent_change": -12.963, "prev_day_close": 1.0799999833107}, {"option": "DRAM260904C00037000", "bid": 14.5, "bid_size": 115.0, "ask": 15.85, "ask_size": 123.0, "iv": 1.0435, "open_interest": 0.0, "volume": 0.0, "delta": 0.8828, "gamma": 0.0122, "vega": 0.0296, "theta": -0.0468, "rho": 0.0286, "theo": 15.2126, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.4500002861023}, {"option": "DRAM260904P00037000", "bid": 0.74, "bid_size": 819.0, "ask": 1.25, "ask_size": 610.0, "iv": 1.0414, "open_interest": 34.0, "volume": 11.0, "delta": -0.1166, "gamma": 0.0122, "vega": 0.0297, "theta": -0.0486, "rho": -0.006, "theo": 1.0388, "change": -0.1, "open": 1.47, "high": 1.47, "low": 1.1, "tick": "up", "last_trade_price": 1.16, "last_trade_time": "2026-08-03T14:11:23", "percent_change": -7.93651, "prev_day_close": 1.25999999046326}, {"option": "DRAM260904C00038000", "bid": 13.45, "bid_size": 176.0, "ask": 15.25, "ask_size": 184.0, "iv": 1.0357, "open_interest": 0.0, "volume": 0.0, "delta": 0.8669, "gamma": 0.0135, "vega": 0.0324, "theta": -0.0511, "rho": 0.0287, "theo": 14.3849, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.7000002861023}, {"option": "DRAM260904P00038000", "bid": 0.99, "bid_size": 401.0, "ask": 1.2, "ask_size": 1.0, "iv": 1.0113, "open_interest": 56.0, "volume": 30.0, "delta": -0.1326, "gamma": 0.0135, "vega": 0.0325, "theta": -0.0528, "rho": -0.0067, "theo": 1.2072, "change": -0.205, "open": 1.59, "high": 1.68, "low": 1.21, "tick": "down", "last_trade_price": 1.21, "last_trade_time": "2026-08-03T13:19:00", "percent_change": -14.4876, "prev_day_close": 1.41500002145767}, {"option": "DRAM260904C00039000", "bid": 12.95, "bid_size": 129.0, "ask": 14.15, "ask_size": 104.0, "iv": 1.0295, "open_interest": 0.0, "volume": 0.0, "delta": 0.8497, "gamma": 0.0148, "vega": 0.0352, "theta": -0.0553, "rho": 0.0286, "theo": 13.5777, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 13.8499999046326}, {"option": "DRAM260904P00039000", "bid": 1.05, "bid_size": 661.0, "ask": 1.58, "ask_size": 425.0, "iv": 1.014, "open_interest": 8.0, "volume": 11.0, "delta": -0.1498, "gamma": 0.0148, "vega": 0.0352, "theta": -0.0569, "rho": -0.0076, "theo": 1.3965, "change": -0.255, "open": 1.82, "high": 1.84, "low": 1.31, "tick": "down", "last_trade_price": 1.31, "last_trade_time": "2026-08-03T15:51:48", "percent_change": -16.2939, "prev_day_close": 1.56499999761581}, {"option": "DRAM260904C00040000", "bid": 12.25, "bid_size": 123.0, "ask": 13.5, "ask_size": 180.0, "iv": 1.0504, "open_interest": 4.0, "volume": 0.0, "delta": 0.8312, "gamma": 0.0161, "vega": 0.038, "theta": -0.0595, "rho": 0.0284, "theo": 12.7928, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 13.27, "last_trade_time": "2026-07-30T12:09:14", "percent_change": 0.0, "prev_day_close": 13.0749998092651}, {"option": "DRAM260904P00040000", "bid": 1.45, "bid_size": 268.0, "ask": 1.68, "ask_size": 3.0, "iv": 1.0175, "open_interest": 6626.0, "volume": 228.0, "delta": -0.1684, "gamma": 0.0161, "vega": 0.038, "theta": -0.061, "rho": -0.0087, "theo": 1.6079, "change": -0.23, "open": 1.93, "high": 2.3, "low": 1.51, "tick": "down", "last_trade_price": 1.53, "last_trade_time": "2026-08-03T15:51:45", "percent_change": -13.0682, "prev_day_close": 1.75999999046326}, {"option": "DRAM260904C00041000", "bid": 11.2, "bid_size": 176.0, "ask": 12.85, "ask_size": 201.0, "iv": 1.0192, "open_interest": 0.0, "volume": 0.0, "delta": 0.8115, "gamma": 0.0174, "vega": 0.0408, "theta": -0.0636, "rho": 0.0282, "theo": 12.0312, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 12.375}, {"option": "DRAM260904P00041000", "bid": 1.55, "bid_size": 602.0, "ask": 2.15, "ask_size": 643.0, "iv": 1.0225, "open_interest": 97.0, "volume": 38.0, "delta": -0.1882, "gamma": 0.0174, "vega": 0.0408, "theta": -0.065, "rho": -0.0096, "theo": 1.8429, "change": -0.155, "open": 2.5, "high": 2.5, "low": 1.98, "tick": "up", "last_trade_price": 2.0, "last_trade_time": "2026-08-03T11:26:03", "percent_change": -7.19258, "prev_day_close": 2.15500003099442}, {"option": "DRAM260904C00042000", "bid": 10.8, "bid_size": 143.0, "ask": 12.65, "ask_size": 347.0, "iv": 1.1107, "open_interest": 0.0, "volume": 20.0, "delta": 0.7905, "gamma": 0.0187, "vega": 0.0435, "theta": -0.0676, "rho": 0.0279, "theo": 11.2945, "change": -0.455, "open": 10.71, "high": 11.22, "low": 10.71, "tick": "up", "last_trade_price": 11.22, "last_trade_time": "2026-08-03T14:27:37", "percent_change": -3.89721, "prev_day_close": 11.6749997138977}, {"option": "DRAM260904P00042000", "bid": 1.9, "bid_size": 408.0, "ask": 2.1, "ask_size": 1.0, "iv": 0.9895, "open_interest": 29.0, "volume": 47.0, "delta": -0.2093, "gamma": 0.0187, "vega": 0.0435, "theta": -0.0689, "rho": -0.0107, "theo": 2.1027, "change": -0.335, "open": 2.56, "high": 2.77, "low": 2.05, "tick": "down", "last_trade_price": 2.05, "last_trade_time": "2026-08-03T15:44:11", "percent_change": -14.0461, "prev_day_close": 2.38499999046326}, {"option": "DRAM260904C00043000", "bid": 9.7, "bid_size": 199.0, "ask": 11.35, "ask_size": 217.0, "iv": 0.9935, "open_interest": 2.0, "volume": 0.0, "delta": 0.7683, "gamma": 0.0199, "vega": 0.046, "theta": -0.0714, "rho": 0.0275, "theo": 10.5837, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.27, "last_trade_time": "2026-07-29T15:39:32", "percent_change": 0.0, "prev_day_close": 10.9749999046326}, {"option": "DRAM260904P00043000", "bid": 2.03, "bid_size": 838.0, "ask": 2.55, "ask_size": 219.0, "iv": 0.9848, "open_interest": 29.0, "volume": 73.0, "delta": -0.2315, "gamma": 0.02, "vega": 0.0461, "theta": -0.0726, "rho": -0.0118, "theo": 2.3885, "change": -0.265, "open": 3.1, "high": 3.22, "low": 2.24, "tick": "down", "last_trade_price": 2.34, "last_trade_time": "2026-08-03T15:48:58", "percent_change": -10.1727, "prev_day_close": 2.6049998998642}, {"option": "DRAM260904C00044000", "bid": 9.65, "bid_size": 12.0, "ask": 10.55, "ask_size": 207.0, "iv": 1.0409, "open_interest": 1.0, "volume": 0.0, "delta": 0.7451, "gamma": 0.0211, "vega": 0.0485, "theta": -0.0749, "rho": 0.027, "theo": 9.8997, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.2, "last_trade_time": "2026-07-29T10:21:46", "percent_change": 0.0, "prev_day_close": 9.97500038146973}, {"option": "DRAM260904P00044000", "bid": 2.34, "bid_size": 556.0, "ask": 2.83, "ask_size": 88.0, "iv": 0.9757, "open_interest": 45.0, "volume": 15.0, "delta": -0.2548, "gamma": 0.0212, "vega": 0.0486, "theta": -0.076, "rho": -0.0129, "theo": 2.7013, "change": -0.28, "open": 3.59, "high": 3.6, "low": 2.65, "tick": "down", "last_trade_price": 2.65, "last_trade_time": "2026-08-03T15:36:37", "percent_change": -9.55632, "prev_day_close": 2.9300000667572}, {"option": "DRAM260904C00045000", "bid": 9.05, "bid_size": 33.0, "ask": 9.8, "ask_size": 406.0, "iv": 1.0294, "open_interest": 174.0, "volume": 25.0, "delta": 0.7209, "gamma": 0.0222, "vega": 0.0508, "theta": -0.0781, "rho": 0.0264, "theo": 9.2437, "change": -0.55, "open": 7.55, "high": 9.0, "low": 7.55, "tick": "down", "last_trade_price": 8.8, "last_trade_time": "2026-08-03T12:44:38", "percent_change": -5.88236, "prev_day_close": 9.35000038146973}, {"option": "DRAM260904P00045000", "bid": 2.82, "bid_size": 267.0, "ask": 3.25, "ask_size": 355.0, "iv": 0.9924, "open_interest": 467.0, "volume": 114.0, "delta": -0.279, "gamma": 0.0223, "vega": 0.0508, "theta": -0.0791, "rho": -0.0143, "theo": 3.0419, "change": -0.25, "open": 3.7, "high": 4.19, "low": 2.9, "tick": "up", "last_trade_price": 3.1, "last_trade_time": "2026-08-03T15:59:18", "percent_change": -7.46269, "prev_day_close": 3.35000002384186}, {"option": "DRAM260904C00046000", "bid": 8.0, "bid_size": 403.0, "ask": 9.8, "ask_size": 610.0, "iv": 1.0418, "open_interest": 9.0, "volume": 3.0, "delta": 0.696, "gamma": 0.0233, "vega": 0.0529, "theta": -0.081, "rho": 0.0258, "theo": 8.616, "change": -0.35, "open": 8.15, "high": 8.87, "low": 8.15, "tick": "down", "last_trade_price": 8.7, "last_trade_time": "2026-08-03T15:22:22", "percent_change": -3.86741, "prev_day_close": 9.05000019073486}, {"option": "DRAM260904P00046000", "bid": 3.05, "bid_size": 579.0, "ask": 3.4, "ask_size": 2.0, "iv": 0.9529, "open_interest": 15.0, "volume": 126.0, "delta": -0.3041, "gamma": 0.0234, "vega": 0.0529, "theta": -0.0819, "rho": -0.0154, "theo": 3.4115, "change": -0.22, "open": 4.3, "high": 4.5, "low": 3.3, "tick": "up", "last_trade_price": 3.38, "last_trade_time": "2026-08-03T15:58:36", "percent_change": -6.11111, "prev_day_close": 3.59999990463257}, {"option": "DRAM260904C00047000", "bid": 7.6, "bid_size": 290.0, "ask": 8.6, "ask_size": 429.0, "iv": 0.9982, "open_interest": 5.0, "volume": 4.0, "delta": 0.6703, "gamma": 0.0242, "vega": 0.0547, "theta": -0.0836, "rho": 0.0251, "theo": 8.0175, "change": -0.4, "open": 6.66, "high": 7.8, "low": 6.66, "tick": "up", "last_trade_price": 7.8, "last_trade_time": "2026-08-03T14:15:13", "percent_change": -4.87805, "prev_day_close": 8.2000002861023}, {"option": "DRAM260904P00047000", "bid": 3.4, "bid_size": 650.0, "ask": 4.3, "ask_size": 1063.0, "iv": 0.9905, "open_interest": 72.0, "volume": 60.0, "delta": -0.3299, "gamma": 0.0243, "vega": 0.0548, "theta": -0.0844, "rho": -0.0168, "theo": 3.8099, "change": -0.06, "open": 4.8, "high": 4.8, "low": 3.99, "tick": "down", "last_trade_price": 3.99, "last_trade_time": "2026-08-03T12:28:43", "percent_change": -1.48148, "prev_day_close": 4.04999995231628}, {"option": "DRAM260904C00048000", "bid": 7.2, "bid_size": 229.0, "ask": 7.8, "ask_size": 191.0, "iv": 0.9877, "open_interest": 7.0, "volume": 71.0, "delta": 0.6441, "gamma": 0.025, "vega": 0.0563, "theta": -0.0858, "rho": 0.0244, "theo": 7.4482, "change": -0.225, "open": 6.5, "high": 7.7, "low": 5.74, "tick": "up", "last_trade_price": 7.7, "last_trade_time": "2026-08-03T14:05:47", "percent_change": -2.83912, "prev_day_close": 7.92500019073486}, {"option": "DRAM260904P00048000", "bid": 4.0, "bid_size": 210.0, "ask": 4.4, "ask_size": 88.0, "iv": 0.9718, "open_interest": 44.0, "volume": 32.0, "delta": -0.3562, "gamma": 0.0251, "vega": 0.0564, "theta": -0.0865, "rho": -0.0179, "theo": 4.2379, "change": -0.43, "open": 5.45, "high": 5.66, "low": 4.17, "tick": "down", "last_trade_price": 4.17, "last_trade_time": "2026-08-03T15:44:36", "percent_change": -9.34783, "prev_day_close": 4.60000014305115}, {"option": "DRAM260904C00049000", "bid": 6.3, "bid_size": 489.0, "ask": 7.5, "ask_size": 491.0, "iv": 0.9728, "open_interest": 2.0, "volume": 31.0, "delta": 0.6175, "gamma": 0.0258, "vega": 0.0577, "theta": -0.0875, "rho": 0.0236, "theo": 6.9084, "change": -0.515, "open": 5.6, "high": 6.61, "low": 5.59, "tick": "up", "last_trade_price": 6.61, "last_trade_time": "2026-08-03T12:51:04", "percent_change": -7.22807, "prev_day_close": 7.125}, {"option": "DRAM260904P00049000", "bid": 4.25, "bid_size": 486.0, "ask": 4.9, "ask_size": 273.0, "iv": 0.9534, "open_interest": 1.0, "volume": 5.0, "delta": -0.383, "gamma": 0.0259, "vega": 0.0577, "theta": -0.0882, "rho": -0.0193, "theo": 4.6954, "change": -0.275, "open": 5.74, "high": 5.96, "low": 4.7, "tick": "down", "last_trade_price": 4.7, "last_trade_time": "2026-08-03T15:28:09", "percent_change": -5.52764, "prev_day_close": 4.97500014305115}, {"option": "DRAM260904C00050000", "bid": 6.2, "bid_size": 182.0, "ask": 6.8, "ask_size": 609.0, "iv": 0.9878, "open_interest": 269.0, "volume": 84.0, "delta": 0.5906, "gamma": 0.0263, "vega": 0.0588, "theta": -0.0889, "rho": 0.0227, "theo": 6.3982, "change": -0.025, "open": 5.38, "high": 6.6, "low": 4.98, "tick": "up", "last_trade_price": 6.6, "last_trade_time": "2026-08-03T15:34:23", "percent_change": -0.377358, "prev_day_close": 6.625}, {"option": "DRAM260904P00050000", "bid": 4.95, "bid_size": 412.0, "ask": 5.4, "ask_size": 324.0, "iv": 0.9692, "open_interest": 2255.0, "volume": 129.0, "delta": -0.4099, "gamma": 0.0264, "vega": 0.0588, "theta": -0.0895, "rho": -0.0207, "theo": 5.1823, "change": -0.425, "open": 6.05, "high": 6.6, "low": 4.95, "tick": "no_change", "last_trade_price": 5.15, "last_trade_time": "2026-08-03T15:59:46", "percent_change": -7.62332, "prev_day_close": 5.57500004768372}, {"option": "DRAM260904C00051000", "bid": 5.65, "bid_size": 507.0, "ask": 6.45, "ask_size": 686.0, "iv": 0.9894, "open_interest": 62.0, "volume": 65.0, "delta": 0.5637, "gamma": 0.0268, "vega": 0.0595, "theta": -0.0899, "rho": 0.0219, "theo": 5.9169, "change": 0.005, "open": 4.95, "high": 6.13, "low": 4.95, "tick": "up", "last_trade_price": 6.13, "last_trade_time": "2026-08-03T15:52:43", "percent_change": 0.0816327, "prev_day_close": 6.125}, {"option": "DRAM260904P00051000", "bid": 5.35, "bid_size": 295.0, "ask": 5.95, "ask_size": 262.0, "iv": 0.9588, "open_interest": 15.0, "volume": 3.0, "delta": -0.437, "gamma": 0.0269, "vega": 0.0596, "theta": -0.0903, "rho": -0.0218, "theo": 5.699, "change": -0.33, "open": 7.5, "high": 7.5, "low": 5.62, "tick": "down", "last_trade_price": 5.62, "last_trade_time": "2026-08-03T13:55:17", "percent_change": -5.54622, "prev_day_close": 5.95000004768372}, {"option": "DRAM260904C00052000", "bid": 5.2, "bid_size": 217.0, "ask": 5.85, "ask_size": 448.0, "iv": 0.9741, "open_interest": 47.0, "volume": 22.0, "delta": 0.5368, "gamma": 0.0271, "vega": 0.06, "theta": -0.0904, "rho": 0.021, "theo": 5.4645, "change": -0.025, "open": 4.4, "high": 5.75, "low": 4.4, "tick": "up", "last_trade_price": 5.75, "last_trade_time": "2026-08-03T15:32:08", "percent_change": -0.432902, "prev_day_close": 5.77500009536743}, {"option": "DRAM260904P00052000", "bid": 5.95, "bid_size": 347.0, "ask": 6.65, "ask_size": 575.0, "iv": 0.9733, "open_interest": 223.0, "volume": 4.0, "delta": -0.464, "gamma": 0.0272, "vega": 0.0601, "theta": -0.0908, "rho": -0.0232, "theo": 6.2442, "change": -0.31, "open": 6.83, "high": 6.83, "low": 6.29, "tick": "down", "last_trade_price": 6.29, "last_trade_time": "2026-08-03T14:54:44", "percent_change": -4.69697, "prev_day_close": 6.59999990463257}, {"option": "DRAM260904C00052500", "bid": 5.0, "bid_size": 251.0, "ask": 5.65, "ask_size": 456.0, "iv": 0.9753, "open_interest": 18.0, "volume": 5.0, "delta": 0.5235, "gamma": 0.0272, "vega": 0.0602, "theta": -0.0905, "rho": 0.0205, "theo": 5.2489, "change": -0.775, "open": 4.8, "high": 4.8, "low": 4.8, "tick": "no_change", "last_trade_price": 4.8, "last_trade_time": "2026-08-03T11:09:46", "percent_change": -13.9013, "prev_day_close": 5.57499980926514}, {"option": "DRAM260904P00052500", "bid": 6.15, "bid_size": 276.0, "ask": 7.1, "ask_size": 571.0, "iv": 0.9789, "open_interest": 29.0, "volume": 0.0, "delta": -0.4774, "gamma": 0.0274, "vega": 0.0602, "theta": -0.0908, "rho": -0.0239, "theo": 6.5273, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.11, "last_trade_time": "2026-07-31T11:33:49", "percent_change": 0.0, "prev_day_close": 6.75}, {"option": "DRAM260904C00053000", "bid": 4.35, "bid_size": 1055.0, "ask": 5.55, "ask_size": 720.0, "iv": 0.9464, "open_interest": 24.0, "volume": 26.0, "delta": 0.5102, "gamma": 0.0273, "vega": 0.0603, "theta": -0.0906, "rho": 0.0201, "theo": 5.0402, "change": -0.45, "open": 4.06, "high": 5.1, "low": 3.85, "tick": "up", "last_trade_price": 5.1, "last_trade_time": "2026-08-03T11:45:28", "percent_change": -8.10811, "prev_day_close": 5.55000019073486}, {"option": "DRAM260904P00053000", "bid": 6.5, "bid_size": 198.0, "ask": 7.35, "ask_size": 438.0, "iv": 0.9792, "open_interest": 10.0, "volume": 1.0, "delta": -0.4908, "gamma": 0.0274, "vega": 0.0603, "theta": -0.0908, "rho": -0.0243, "theo": 6.8177, "change": -0.175, "open": 6.8, "high": 6.8, "low": 6.8, "tick": "down", "last_trade_price": 6.8, "last_trade_time": "2026-08-03T15:32:17", "percent_change": -2.50896, "prev_day_close": 6.97499990463257}, {"option": "DRAM260904C00053500", "bid": 4.2, "bid_size": 569.0, "ask": 5.35, "ask_size": 624.0, "iv": 0.9496, "open_interest": 3.0, "volume": 1.0, "delta": 0.497, "gamma": 0.0273, "vega": 0.0603, "theta": -0.0905, "rho": 0.0196, "theo": 4.8383, "change": -1.925, "open": 3.4, "high": 3.4, "low": 3.4, "tick": "down", "last_trade_price": 3.4, "last_trade_time": "2026-08-03T09:38:24", "percent_change": -36.1502, "prev_day_close": 5.32500004768372}, {"option": "DRAM260904P00053500", "bid": 6.7, "bid_size": 292.0, "ask": 7.75, "ask_size": 574.0, "iv": 0.9784, "open_interest": 19.0, "volume": 0.0, "delta": -0.5041, "gamma": 0.0275, "vega": 0.0603, "theta": -0.0907, "rho": -0.0249, "theo": 7.115, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.75, "last_trade_time": "2026-07-31T09:44:38", "percent_change": 0.0, "prev_day_close": 7.375}, {"option": "DRAM260904C00054000", "bid": 4.1, "bid_size": 509.0, "ask": 5.1, "ask_size": 613.0, "iv": 0.9518, "open_interest": 33.0, "volume": 8.0, "delta": 0.4839, "gamma": 0.0273, "vega": 0.0603, "theta": -0.0903, "rho": 0.0192, "theo": 4.6432, "change": -0.45, "open": 3.6, "high": 4.55, "low": 3.6, "tick": "up", "last_trade_price": 4.55, "last_trade_time": "2026-08-03T10:57:13", "percent_change": -9.0, "prev_day_close": 5.0}, {"option": "DRAM260904P00054000", "bid": 7.05, "bid_size": 172.0, "ask": 7.8, "ask_size": 359.0, "iv": 0.96, "open_interest": 23.0, "volume": 6.0, "delta": -0.5172, "gamma": 0.0275, "vega": 0.0602, "theta": -0.0905, "rho": -0.0256, "theo": 7.419, "change": 0.375, "open": 7.7, "high": 8.2, "low": 7.7, "tick": "up", "last_trade_price": 8.2, "last_trade_time": "2026-08-03T11:22:23", "percent_change": 4.79234, "prev_day_close": 7.82499980926514}, {"option": "DRAM260904C00054500", "bid": 4.15, "bid_size": 373.0, "ask": 4.85, "ask_size": 527.0, "iv": 0.9655, "open_interest": 10.0, "volume": 1.0, "delta": 0.4709, "gamma": 0.0273, "vega": 0.0601, "theta": -0.09, "rho": 0.0187, "theo": 4.4549, "change": -0.225, "open": 4.65, "high": 4.65, "low": 4.65, "tick": "down", "last_trade_price": 4.65, "last_trade_time": "2026-08-03T14:05:10", "percent_change": -4.61538, "prev_day_close": 4.875}, {"option": "DRAM260904P00054500", "bid": 7.4, "bid_size": 113.0, "ask": 8.1, "ask_size": 240.0, "iv": 0.9614, "open_interest": 10.0, "volume": 3.0, "delta": -0.5303, "gamma": 0.0275, "vega": 0.0601, "theta": -0.0902, "rho": -0.0262, "theo": 7.7296, "change": 0.05, "open": 9.81, "high": 9.81, "low": 8.1, "tick": "down", "last_trade_price": 8.1, "last_trade_time": "2026-08-03T13:11:10", "percent_change": 0.621119, "prev_day_close": 8.04999995231628}, {"option": "DRAM260904C00055000", "bid": 4.1, "bid_size": 239.0, "ask": 4.6, "ask_size": 376.0, "iv": 0.9698, "open_interest": 163.0, "volume": 72.0, "delta": 0.458, "gamma": 0.0273, "vega": 0.06, "theta": -0.0897, "rho": 0.0182, "theo": 4.2731, "change": -0.175, "open": 3.5, "high": 4.5, "low": 3.35, "tick": "up", "last_trade_price": 4.4, "last_trade_time": "2026-08-03T15:05:30", "percent_change": -3.82513, "prev_day_close": 4.57499980926514}, {"option": "DRAM260904P00055000", "bid": 7.8, "bid_size": 109.0, "ask": 8.35, "ask_size": 255.0, "iv": 0.9617, "open_interest": 66.0, "volume": 16.0, "delta": -0.5432, "gamma": 0.0274, "vega": 0.0599, "theta": -0.0898, "rho": -0.0268, "theo": 8.0467, "change": -0.41, "open": 9.67, "high": 9.71, "low": 7.99, "tick": "down", "last_trade_price": 7.99, "last_trade_time": "2026-08-03T13:46:42", "percent_change": -4.88095, "prev_day_close": 8.40000009536743}, {"option": "DRAM260904C00055500", "bid": 3.65, "bid_size": 541.0, "ask": 4.5, "ask_size": 631.0, "iv": 0.9523, "open_interest": 14.0, "volume": 9.0, "delta": 0.4453, "gamma": 0.0272, "vega": 0.0597, "theta": -0.0893, "rho": 0.0178, "theo": 4.0976, "change": -0.77, "open": 3.6, "high": 3.85, "low": 3.0, "tick": "up", "last_trade_price": 3.83, "last_trade_time": "2026-08-03T12:38:07", "percent_change": -16.7391, "prev_day_close": 4.59999990463257}, {"option": "DRAM260904P00055500", "bid": 7.95, "bid_size": 183.0, "ask": 9.0, "ask_size": 522.0, "iv": 0.9737, "open_interest": 24.0, "volume": 2.0, "delta": -0.556, "gamma": 0.0274, "vega": 0.0596, "theta": -0.0893, "rho": -0.0273, "theo": 8.3701, "change": 1.33, "open": 9.88, "high": 9.88, "low": 9.88, "tick": "no_change", "last_trade_price": 9.88, "last_trade_time": "2026-08-03T10:01:21", "percent_change": 15.5556, "prev_day_close": 8.55000019073486}, {"option": "DRAM260904C00056000", "bid": 3.4, "bid_size": 681.0, "ask": 4.35, "ask_size": 605.0, "iv": 0.9463, "open_interest": 15.0, "volume": 47.0, "delta": 0.4328, "gamma": 0.0271, "vega": 0.0594, "theta": -0.0887, "rho": 0.0174, "theo": 3.9283, "change": -1.225, "open": 3.17, "high": 3.3, "low": 3.0, "tick": "up", "last_trade_price": 3.2, "last_trade_time": "2026-08-03T10:08:41", "percent_change": -27.6836, "prev_day_close": 4.42499995231628}, {"option": "DRAM260904P00056000", "bid": 8.3, "bid_size": 158.0, "ask": 9.35, "ask_size": 478.0, "iv": 0.9763, "open_interest": 21.0, "volume": 1.0, "delta": -0.5686, "gamma": 0.0272, "vega": 0.0593, "theta": -0.0888, "rho": -0.0277, "theo": 8.7004, "change": 1.695, "open": 10.57, "high": 10.57, "low": 10.57, "tick": "up", "last_trade_price": 10.57, "last_trade_time": "2026-08-03T09:36:40", "percent_change": 19.0986, "prev_day_close": 8.875}, {"option": "DRAM260904C00056500", "bid": 3.25, "bid_size": 590.0, "ask": 4.0, "ask_size": 39.0, "iv": 0.9308, "open_interest": 1.0, "volume": 4.0, "delta": 0.4204, "gamma": 0.0269, "vega": 0.0591, "theta": -0.0882, "rho": 0.0169, "theo": 3.7651, "change": -0.435, "open": 3.1, "high": 3.69, "low": 3.1, "tick": "up", "last_trade_price": 3.69, "last_trade_time": "2026-08-03T15:56:47", "percent_change": -10.5455, "prev_day_close": 4.12500011920929}, {"option": "DRAM260904P00056500", "bid": 8.7, "bid_size": 113.0, "ask": 9.7, "ask_size": 449.0, "iv": 0.9822, "open_interest": 3.0, "volume": 0.0, "delta": -0.5811, "gamma": 0.0271, "vega": 0.059, "theta": -0.0881, "rho": -0.0283, "theo": 9.0366, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.13, "last_trade_time": "2026-07-30T10:13:50", "percent_change": 0.0, "prev_day_close": 9.34999990463257}, {"option": "DRAM260904C00057000", "bid": 3.35, "bid_size": 360.0, "ask": 3.95, "ask_size": 421.0, "iv": 0.9611, "open_interest": 34.0, "volume": 12.0, "delta": 0.4082, "gamma": 0.0268, "vega": 0.0587, "theta": -0.0875, "rho": 0.0164, "theo": 3.608, "change": -0.46, "open": 3.1, "high": 3.49, "low": 2.92, "tick": "up", "last_trade_price": 3.49, "last_trade_time": "2026-08-03T13:20:25", "percent_change": -11.6456, "prev_day_close": 3.95000004768372}, {"option": "DRAM260904P00057000", "bid": 9.05, "bid_size": 142.0, "ask": 9.75, "ask_size": 218.0, "iv": 0.9575, "open_interest": 10.0, "volume": 0.0, "delta": -0.5934, "gamma": 0.027, "vega": 0.0586, "theta": -0.0874, "rho": -0.029, "theo": 9.3787, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.7, "last_trade_time": "2026-07-31T15:21:34", "percent_change": 0.0, "prev_day_close": 9.82499980926514}, {"option": "DRAM260904C00057500", "bid": 3.3, "bid_size": 171.0, "ask": 3.85, "ask_size": 590.0, "iv": 0.9736, "open_interest": 39.0, "volume": 9.0, "delta": 0.3962, "gamma": 0.0266, "vega": 0.0582, "theta": -0.0867, "rho": 0.016, "theo": 3.4568, "change": -0.645, "open": 2.69, "high": 3.28, "low": 2.69, "tick": "up", "last_trade_price": 3.28, "last_trade_time": "2026-08-03T13:17:07", "percent_change": -16.4331, "prev_day_close": 3.92500007152557}, {"option": "DRAM260904P00057500", "bid": 9.2, "bid_size": 158.0, "ask": 10.2, "ask_size": 205.0, "iv": 0.9487, "open_interest": 10.0, "volume": 2.0, "delta": -0.6055, "gamma": 0.0268, "vega": 0.0581, "theta": -0.0866, "rho": -0.0295, "theo": 9.7267, "change": 0.295, "open": 10.32, "high": 10.32, "low": 10.32, "tick": "no_change", "last_trade_price": 10.32, "last_trade_time": "2026-08-03T11:13:46", "percent_change": 2.94264, "prev_day_close": 10.0250000953674}, {"option": "DRAM260904C00058000", "bid": 3.0, "bid_size": 522.0, "ask": 3.8, "ask_size": 843.0, "iv": 0.9681, "open_interest": 34.0, "volume": 13.0, "delta": 0.3844, "gamma": 0.0264, "vega": 0.0577, "theta": -0.0859, "rho": 0.0156, "theo": 3.3114, "change": -0.335, "open": 2.71, "high": 3.34, "low": 2.71, "tick": "no_change", "last_trade_price": 3.34, "last_trade_time": "2026-08-03T15:55:34", "percent_change": -9.11565, "prev_day_close": 3.67499995231628}, {"option": "DRAM260904P00058000", "bid": 9.65, "bid_size": 142.0, "ask": 10.7, "ask_size": 256.0, "iv": 0.9692, "open_interest": 20.0, "volume": 1.0, "delta": -0.6174, "gamma": 0.0266, "vega": 0.0576, "theta": -0.0858, "rho": -0.03, "theo": 10.0804, "change": 1.515, "open": 11.74, "high": 11.74, "low": 11.74, "tick": "up", "last_trade_price": 11.74, "last_trade_time": "2026-08-03T10:18:48", "percent_change": 14.8166, "prev_day_close": 10.2250003814697}, {"option": "DRAM260904C00058500", "bid": 2.52, "bid_size": 821.0, "ask": 3.6, "ask_size": 624.0, "iv": 0.9328, "open_interest": 112.0, "volume": 2.0, "delta": 0.3728, "gamma": 0.0261, "vega": 0.0572, "theta": -0.0851, "rho": 0.0151, "theo": 3.1714, "change": -1.08, "open": 2.5, "high": 2.57, "low": 2.5, "tick": "up", "last_trade_price": 2.57, "last_trade_time": "2026-08-03T10:08:35", "percent_change": -29.589, "prev_day_close": 3.65000009536743}, {"option": "DRAM260904P00058500", "bid": 9.85, "bid_size": 161.0, "ask": 11.4, "ask_size": 309.0, "iv": 0.9848, "open_interest": 4.0, "volume": 0.0, "delta": -0.6291, "gamma": 0.0263, "vega": 0.057, "theta": -0.0849, "rho": -0.0303, "theo": 10.4398, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.6, "last_trade_time": "2026-07-30T15:06:49", "percent_change": 0.0, "prev_day_close": 10.5}, {"option": "DRAM260904C00059000", "bid": 2.58, "bid_size": 457.0, "ask": 3.35, "ask_size": 360.0, "iv": 0.9392, "open_interest": 15.0, "volume": 4.0, "delta": 0.3614, "gamma": 0.0259, "vega": 0.0566, "theta": -0.0842, "rho": 0.0147, "theo": 3.0367, "change": -0.5, "open": 2.56, "high": 2.9, "low": 2.56, "tick": "no_change", "last_trade_price": 2.9, "last_trade_time": "2026-08-03T13:22:19", "percent_change": -14.7059, "prev_day_close": 3.39999997615814}, {"option": "DRAM260904P00059000", "bid": 9.5, "bid_size": 263.0, "ask": 11.8, "ask_size": 285.0, "iv": 0.9244, "open_interest": 3.0, "volume": 1.0, "delta": -0.6405, "gamma": 0.0261, "vega": 0.0564, "theta": -0.0839, "rho": -0.0306, "theo": 10.8048, "change": 1.705, "open": 12.63, "high": 12.63, "low": 12.63, "tick": "up", "last_trade_price": 12.63, "last_trade_time": "2026-08-03T10:10:23", "percent_change": 15.6064, "prev_day_close": 10.9249997138977}, {"option": "DRAM260904C00059500", "bid": 2.54, "bid_size": 507.0, "ask": 3.25, "ask_size": 496.0, "iv": 0.9494, "open_interest": 3.0, "volume": 4.0, "delta": 0.3503, "gamma": 0.0256, "vega": 0.056, "theta": -0.0832, "rho": 0.0143, "theo": 2.9074, "change": -0.775, "open": 2.5, "high": 2.72, "low": 2.5, "tick": "down", "last_trade_price": 2.6, "last_trade_time": "2026-08-03T12:10:46", "percent_change": -22.963, "prev_day_close": 3.375}, {"option": "DRAM260904P00059500", "bid": 10.75, "bid_size": 194.0, "ask": 11.95, "ask_size": 268.0, "iv": 0.9829, "open_interest": 50.0, "volume": 0.0, "delta": -0.6518, "gamma": 0.0258, "vega": 0.0558, "theta": -0.0829, "rho": -0.0312, "theo": 11.175, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 11.66, "last_trade_time": "2026-07-31T12:57:59", "percent_change": 0.0, "prev_day_close": 11.7000002861023}, {"option": "DRAM260904C00060000", "bid": 2.67, "bid_size": 7.0, "ask": 2.97, "ask_size": 8.0, "iv": 0.958, "open_interest": 282.0, "volume": 423.0, "delta": 0.3393, "gamma": 0.0253, "vega": 0.0553, "theta": -0.0821, "rho": 0.0138, "theo": 2.7832, "change": -0.15, "open": 2.22, "high": 2.97, "low": 1.93, "tick": "up", "last_trade_price": 2.9, "last_trade_time": "2026-08-03T15:51:46", "percent_change": -4.91803, "prev_day_close": 3.04999995231628}, {"option": "DRAM260904P00060000", "bid": 10.25, "bid_size": 317.0, "ask": 12.0, "ask_size": 166.0, "iv": 0.873, "open_interest": 34.0, "volume": 2.0, "delta": -0.6628, "gamma": 0.0255, "vega": 0.0551, "theta": -0.0818, "rho": -0.0316, "theo": 11.5502, "change": -0.19, "open": 13.38, "high": 13.38, "low": 11.76, "tick": "down", "last_trade_price": 11.76, "last_trade_time": "2026-08-03T12:49:51", "percent_change": -1.58996, "prev_day_close": 11.9500002861023}, {"option": "DRAM260904C00060500", "bid": 2.43, "bid_size": 593.0, "ask": 2.98, "ask_size": 576.0, "iv": 0.9586, "open_interest": 87.0, "volume": 2.0, "delta": 0.3286, "gamma": 0.025, "vega": 0.0546, "theta": -0.0811, "rho": 0.0134, "theo": 2.664, "change": -0.215, "open": 2.85, "high": 2.85, "low": 2.85, "tick": "down", "last_trade_price": 2.85, "last_trade_time": "2026-08-03T14:10:48", "percent_change": -7.01468, "prev_day_close": 3.06499993801117}, {"option": "DRAM260904P00060500", "bid": 11.55, "bid_size": 146.0, "ask": 12.4, "ask_size": 163.0, "iv": 0.9593, "open_interest": 0.0, "volume": 1.0, "delta": -0.6736, "gamma": 0.0252, "vega": 0.0544, "theta": -0.0807, "rho": -0.0321, "theo": 11.9304, "change": -0.115, "open": 12.16, "high": 12.16, "low": 12.16, "tick": "down", "last_trade_price": 12.16, "last_trade_time": "2026-08-03T13:56:36", "percent_change": -0.936864, "prev_day_close": 12.2750000953674}, {"option": "DRAM260904C00061000", "bid": 2.4, "bid_size": 244.0, "ask": 2.84, "ask_size": 403.0, "iv": 0.964, "open_interest": 16.0, "volume": 46.0, "delta": 0.3182, "gamma": 0.0246, "vega": 0.0539, "theta": -0.0799, "rho": 0.013, "theo": 2.5496, "change": -0.41, "open": 2.05, "high": 2.75, "low": 2.05, "tick": "up", "last_trade_price": 2.6, "last_trade_time": "2026-08-03T15:49:53", "percent_change": -13.6213, "prev_day_close": 3.00999999046326}, {"option": "DRAM260904P00061000", "bid": 11.85, "bid_size": 135.0, "ask": 13.15, "ask_size": 267.0, "iv": 0.9852, "open_interest": 7.0, "volume": 0.0, "delta": -0.6842, "gamma": 0.0249, "vega": 0.0537, "theta": -0.0796, "rho": -0.0325, "theo": 12.3154, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.49, "last_trade_time": "2026-07-31T10:50:48", "percent_change": 0.0, "prev_day_close": 12.5}, {"option": "DRAM260904C00061500", "bid": 2.13, "bid_size": 521.0, "ask": 2.81, "ask_size": 553.0, "iv": 0.9566, "open_interest": 9.0, "volume": 14.0, "delta": 0.3079, "gamma": 0.0243, "vega": 0.0532, "theta": -0.0788, "rho": 0.0126, "theo": 2.4398, "change": -0.4, "open": 2.02, "high": 2.41, "low": 2.0, "tick": "no_change", "last_trade_price": 2.41, "last_trade_time": "2026-08-03T15:18:20", "percent_change": -14.2349, "prev_day_close": 2.80999994277954}, {"option": "DRAM260904P00061500", "bid": 11.45, "bid_size": 681.0, "ask": 13.65, "ask_size": 443.0, "iv": 0.9212, "open_interest": 1308.0, "volume": 294.0, "delta": -0.6945, "gamma": 0.0246, "vega": 0.0528, "theta": -0.0784, "rho": -0.0327, "theo": 12.7052, "change": -0.15, "open": 12.7, "high": 12.7, "low": 12.7, "tick": "up", "last_trade_price": 12.7, "last_trade_time": "2026-08-03T13:44:07", "percent_change": -1.16731, "prev_day_close": 12.8499999046326}, {"option": "DRAM260904C00062000", "bid": 2.15, "bid_size": 522.0, "ask": 2.55, "ask_size": 219.0, "iv": 0.9538, "open_interest": 121.0, "volume": 32.0, "delta": 0.2979, "gamma": 0.024, "vega": 0.0524, "theta": -0.0776, "rho": 0.0122, "theo": 2.3344, "change": -0.2, "open": 1.99, "high": 2.42, "low": 1.99, "tick": "up", "last_trade_price": 2.38, "last_trade_time": "2026-08-03T15:34:52", "percent_change": -7.75194, "prev_day_close": 2.57999992370605}, {"option": "DRAM260904P00062000", "bid": 12.2, "bid_size": 248.0, "ask": 13.95, "ask_size": 245.0, "iv": 0.9461, "open_interest": 21.0, "volume": 0.0, "delta": -0.7046, "gamma": 0.0242, "vega": 0.052, "theta": -0.0771, "rho": -0.0329, "theo": 13.0998, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.77, "last_trade_time": "2026-07-31T10:03:29", "percent_change": 0.0, "prev_day_close": 13.2249999046326}, {"option": "DRAM260904C00062500", "bid": 2.06, "bid_size": 261.0, "ask": 2.7, "ask_size": 853.0, "iv": 0.9792, "open_interest": 16.0, "volume": 2.0, "delta": 0.2882, "gamma": 0.0236, "vega": 0.0516, "theta": -0.0764, "rho": 0.0119, "theo": 2.2334, "change": -0.345, "open": 1.9, "high": 2.3, "low": 1.9, "tick": "up", "last_trade_price": 2.3, "last_trade_time": "2026-08-03T14:00:55", "percent_change": -13.0435, "prev_day_close": 2.64499998092651}, {"option": "DRAM260904P00062500", "bid": 13.1, "bid_size": 88.0, "ask": 14.2, "ask_size": 173.0, "iv": 0.9803, "open_interest": 2.0, "volume": 0.0, "delta": -0.7144, "gamma": 0.0238, "vega": 0.0512, "theta": -0.0759, "rho": -0.0334, "theo": 13.4986, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.09, "last_trade_time": "2026-07-29T13:33:19", "percent_change": 0.0, "prev_day_close": 13.5750002861023}, {"option": "DRAM260904C00063000", "bid": 1.88, "bid_size": 702.0, "ask": 2.4, "ask_size": 298.0, "iv": 0.9516, "open_interest": 60.0, "volume": 20.0, "delta": 0.2787, "gamma": 0.0232, "vega": 0.0507, "theta": -0.0751, "rho": 0.0115, "theo": 2.1366, "change": -0.51, "open": 2.04, "high": 2.05, "low": 1.62, "tick": "no_change", "last_trade_price": 2.0, "last_trade_time": "2026-08-03T12:31:09", "percent_change": -20.3187, "prev_day_close": 2.51000010967255}, {"option": "DRAM260904P00063000", "bid": 13.55, "bid_size": 78.0, "ask": 14.25, "ask_size": 93.0, "iv": 0.9506, "open_interest": 19.0, "volume": 0.0, "delta": -0.724, "gamma": 0.0235, "vega": 0.0504, "theta": -0.0746, "rho": -0.0339, "theo": 13.9015, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.11, "last_trade_time": "2026-07-31T10:28:45", "percent_change": 0.0, "prev_day_close": 14.4000000953674}, {"option": "DRAM260904C00063500", "bid": 1.88, "bid_size": 233.0, "ask": 2.3, "ask_size": 309.0, "iv": 0.9603, "open_interest": 0.0, "volume": 10.0, "delta": 0.2694, "gamma": 0.0228, "vega": 0.0499, "theta": -0.0739, "rho": 0.0111, "theo": 2.0439, "change": -0.4, "open": 1.97, "high": 2.15, "low": 1.97, "tick": "down", "last_trade_price": 2.08, "last_trade_time": "2026-08-03T14:52:27", "percent_change": -16.129, "prev_day_close": 2.48000001907349}, {"option": "DRAM260904P00063500", "bid": 13.8, "bid_size": 91.0, "ask": 14.95, "ask_size": 121.0, "iv": 0.9645, "open_interest": 2.0, "volume": 1.0, "delta": -0.7334, "gamma": 0.0231, "vega": 0.0495, "theta": -0.0733, "rho": -0.0339, "theo": 14.3085, "change": 0.65, "open": 15.35, "high": 15.35, "low": 15.35, "tick": "up", "last_trade_price": 15.35, "last_trade_time": "2026-08-03T11:42:53", "percent_change": 4.42177, "prev_day_close": 14.6999998092651}, {"option": "DRAM260904C00064000", "bid": 1.8, "bid_size": 433.0, "ask": 2.18, "ask_size": 281.0, "iv": 0.9583, "open_interest": 42.0, "volume": 16.0, "delta": 0.2604, "gamma": 0.0224, "vega": 0.049, "theta": -0.0726, "rho": 0.0108, "theo": 1.9552, "change": -0.325, "open": 1.98, "high": 2.0, "low": 1.62, "tick": "down", "last_trade_price": 1.99, "last_trade_time": "2026-08-03T15:57:02", "percent_change": -14.0389, "prev_day_close": 2.31500005722046}, {"option": "DRAM260904P00064000", "bid": 13.4, "bid_size": 168.0, "ask": 15.5, "ask_size": 138.0, "iv": 0.8945, "open_interest": 17.0, "volume": 1.0, "delta": -0.7425, "gamma": 0.0227, "vega": 0.0486, "theta": -0.072, "rho": -0.0343, "theo": 14.7194, "change": 0.455, "open": 15.48, "high": 15.48, "low": 15.48, "tick": "up", "last_trade_price": 15.48, "last_trade_time": "2026-08-03T10:52:46", "percent_change": 3.02829, "prev_day_close": 15.0250000953674}, {"option": "DRAM260904C00064500", "bid": 1.33, "bid_size": 822.0, "ask": 2.22, "ask_size": 584.0, "iv": 0.9314, "open_interest": 6.0, "volume": 3.0, "delta": 0.2517, "gamma": 0.022, "vega": 0.0482, "theta": -0.0713, "rho": 0.0104, "theo": 1.8702, "change": -0.455, "open": 1.54, "high": 1.85, "low": 1.54, "tick": "up", "last_trade_price": 1.85, "last_trade_time": "2026-08-03T15:27:28", "percent_change": -19.7397, "prev_day_close": 2.30500000715256}, {"option": "DRAM260904P00064500", "bid": 14.5, "bid_size": 96.0, "ask": 16.0, "ask_size": 165.0, "iv": 0.9756, "open_interest": 1.0, "volume": 0.0, "delta": -0.7514, "gamma": 0.0223, "vega": 0.0478, "theta": -0.0706, "rho": -0.0346, "theo": 15.134, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.45, "last_trade_time": "2026-07-30T09:33:01", "percent_change": 0.0, "prev_day_close": 15.25}, {"option": "DRAM260904C00065000", "bid": 1.75, "bid_size": 67.0, "ask": 2.0, "ask_size": 122.0, "iv": 0.9424, "open_interest": 129.0, "volume": 65.0, "delta": 0.2431, "gamma": 0.0216, "vega": 0.0473, "theta": -0.07, "rho": 0.0101, "theo": 1.7887, "change": -0.31, "open": 1.45, "high": 1.89, "low": 1.34, "tick": "no_change", "last_trade_price": 1.75, "last_trade_time": "2026-08-03T15:59:58", "percent_change": -15.0485, "prev_day_close": 2.06000000238419}, {"option": "DRAM260904P00065000", "bid": 14.95, "bid_size": 233.0, "ask": 16.4, "ask_size": 247.0, "iv": 0.9777, "open_interest": 60.0, "volume": 0.0, "delta": -0.76, "gamma": 0.0219, "vega": 0.0468, "theta": -0.0693, "rho": -0.0346, "theo": 15.5528, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.05, "last_trade_time": "2026-07-31T12:00:17", "percent_change": 0.0, "prev_day_close": 15.7250003814697}, {"option": "DRAM260904C00066000", "bid": 1.49, "bid_size": 237.0, "ask": 1.95, "ask_size": 680.0, "iv": 0.9706, "open_interest": 27.0, "volume": 20.0, "delta": 0.2268, "gamma": 0.0208, "vega": 0.0455, "theta": -0.0673, "rho": 0.0094, "theo": 1.6362, "change": -0.315, "open": 1.38, "high": 1.67, "low": 1.06, "tick": "up", "last_trade_price": 1.67, "last_trade_time": "2026-08-03T15:46:40", "percent_change": -15.869, "prev_day_close": 1.98499995470047}, {"option": "DRAM260904P00066000", "bid": 15.8, "bid_size": 51.0, "ask": 17.15, "ask_size": 84.0, "iv": 0.9689, "open_interest": 0.0, "volume": 5.0, "delta": -0.7766, "gamma": 0.0211, "vega": 0.045, "theta": -0.0665, "rho": -0.0351, "theo": 16.4003, "change": 1.16, "open": 17.71, "high": 17.71, "low": 17.71, "tick": "up", "last_trade_price": 17.71, "last_trade_time": "2026-08-03T10:40:27", "percent_change": 7.00907, "prev_day_close": 16.5499997138977}, {"option": "DRAM260904C00067000", "bid": 1.2, "bid_size": 423.0, "ask": 1.81, "ask_size": 568.0, "iv": 0.955, "open_interest": 28.0, "volume": 26.0, "delta": 0.2114, "gamma": 0.0199, "vega": 0.0437, "theta": -0.0646, "rho": 0.0088, "theo": 1.4967, "change": -0.115, "open": 1.43, "high": 1.58, "low": 1.4, "tick": "up", "last_trade_price": 1.58, "last_trade_time": "2026-08-03T14:05:10", "percent_change": -6.78466, "prev_day_close": 1.69499999284744}, {"option": "DRAM260904P00067000", "bid": 16.55, "bid_size": 108.0, "ask": 18.2, "ask_size": 140.0, "iv": 0.9794, "open_interest": 1.0, "volume": 0.0, "delta": -0.7922, "gamma": 0.0202, "vega": 0.0431, "theta": -0.0637, "rho": -0.0352, "theo": 17.2607, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.67, "last_trade_time": "2026-07-29T14:49:49", "percent_change": 0.0, "prev_day_close": 17.4499998092651}, {"option": "DRAM260904C00068000", "bid": 1.07, "bid_size": 887.0, "ask": 1.64, "ask_size": 481.0, "iv": 0.9506, "open_interest": 67.0, "volume": 110.0, "delta": 0.1969, "gamma": 0.0191, "vega": 0.0419, "theta": -0.0619, "rho": 0.0082, "theo": 1.3691, "change": -0.425, "open": 1.31, "high": 1.47, "low": 1.1, "tick": "up", "last_trade_price": 1.39, "last_trade_time": "2026-08-03T15:36:46", "percent_change": -23.416, "prev_day_close": 1.81499999761581}, {"option": "DRAM260904P00068000", "bid": 17.6, "bid_size": 61.0, "ask": 18.75, "ask_size": 75.0, "iv": 0.9642, "open_interest": 4.0, "volume": 1.0, "delta": -0.8069, "gamma": 0.0194, "vega": 0.0412, "theta": -0.061, "rho": -0.0356, "theo": 18.1332, "change": 0.85, "open": 19.2, "high": 19.2, "low": 19.2, "tick": "up", "last_trade_price": 19.2, "last_trade_time": "2026-08-03T11:51:03", "percent_change": 4.63216, "prev_day_close": 18.3499994277954}, {"option": "DRAM260904C00069000", "bid": 1.1, "bid_size": 216.0, "ask": 1.72, "ask_size": 972.0, "iv": 0.9938, "open_interest": 13.0, "volume": 5.0, "delta": 0.1834, "gamma": 0.0182, "vega": 0.0401, "theta": -0.0592, "rho": 0.0077, "theo": 1.2525, "change": -0.455, "open": 1.2, "high": 1.2, "low": 1.05, "tick": "up", "last_trade_price": 1.14, "last_trade_time": "2026-08-03T13:04:28", "percent_change": -28.5266, "prev_day_close": 1.59499996900558}, {"option": "DRAM260904P00069000", "bid": 18.25, "bid_size": 117.0, "ask": 19.85, "ask_size": 118.0, "iv": 0.9635, "open_interest": 4.0, "volume": 1.0, "delta": -0.8207, "gamma": 0.0186, "vega": 0.0393, "theta": -0.0582, "rho": -0.0356, "theo": 19.0172, "change": -0.165, "open": 19.06, "high": 19.06, "low": 19.06, "tick": "down", "last_trade_price": 19.06, "last_trade_time": "2026-08-03T14:58:11", "percent_change": -0.858259, "prev_day_close": 19.2250003814697}, {"option": "DRAM260904C00070000", "bid": 0.86, "bid_size": 431.0, "ask": 1.49, "ask_size": 522.0, "iv": 0.9639, "open_interest": 270.0, "volume": 73.0, "delta": 0.1706, "gamma": 0.0174, "vega": 0.0383, "theta": -0.0566, "rho": 0.0072, "theo": 1.1459, "change": -0.29, "open": 1.0, "high": 1.2, "low": 0.75, "tick": "no_change", "last_trade_price": 1.17, "last_trade_time": "2026-08-03T15:48:39", "percent_change": -19.863, "prev_day_close": 1.46000003814697}, {"option": "DRAM260904P00070000", "bid": 19.2, "bid_size": 117.0, "ask": 20.4, "ask_size": 84.0, "iv": 0.9258, "open_interest": 13.0, "volume": 0.0, "delta": -0.8336, "gamma": 0.0177, "vega": 0.0375, "theta": -0.0555, "rho": -0.0357, "theo": 19.9111, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.28, "last_trade_time": "2026-07-30T10:38:08", "percent_change": 0.0, "prev_day_close": 20.2749996185303}, {"option": "DRAM260904C00071000", "bid": 0.75, "bid_size": 962.0, "ask": 1.2, "ask_size": 153.0, "iv": 0.937, "open_interest": 113.0, "volume": 6.0, "delta": 0.1587, "gamma": 0.0166, "vega": 0.0365, "theta": -0.054, "rho": 0.0067, "theo": 1.0487, "change": -0.31, "open": 0.91, "high": 1.0, "low": 0.91, "tick": "no_change", "last_trade_price": 1.0, "last_trade_time": "2026-08-03T15:31:52", "percent_change": -23.6641, "prev_day_close": 1.31000000238419}, {"option": "DRAM260904P00071000", "bid": 19.9, "bid_size": 169.0, "ask": 21.75, "ask_size": 155.0, "iv": 0.9606, "open_interest": 5.0, "volume": 0.0, "delta": -0.8458, "gamma": 0.0169, "vega": 0.0356, "theta": -0.0528, "rho": -0.0355, "theo": 20.8145, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.7, "last_trade_time": "2026-07-30T14:06:25", "percent_change": 0.0, "prev_day_close": 20.9750003814697}, {"option": "DRAM260904C00072000", "bid": 0.82, "bid_size": 238.0, "ask": 1.1, "ask_size": 147.0, "iv": 0.9591, "open_interest": 31.0, "volume": 1.0, "delta": 0.1476, "gamma": 0.0158, "vega": 0.0348, "theta": -0.0515, "rho": 0.0062, "theo": 0.96, "change": -0.415, "open": 0.84, "high": 0.84, "low": 0.84, "tick": "down", "last_trade_price": 0.84, "last_trade_time": "2026-08-03T11:41:26", "percent_change": -33.0677, "prev_day_close": 1.25499999523163}, {"option": "DRAM260904P00072000", "bid": 20.85, "bid_size": 119.0, "ask": 22.7, "ask_size": 159.0, "iv": 0.9734, "open_interest": 6.0, "volume": 0.0, "delta": -0.8572, "gamma": 0.0161, "vega": 0.0338, "theta": -0.0502, "rho": -0.0356, "theo": 21.7266, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.01, "last_trade_time": "2026-07-30T10:21:14", "percent_change": 0.0, "prev_day_close": 21.875}, {"option": "DRAM260904C00073000", "bid": 0.78, "bid_size": 156.0, "ask": 1.06, "ask_size": 215.0, "iv": 0.973, "open_interest": 45.0, "volume": 0.0, "delta": 0.1372, "gamma": 0.015, "vega": 0.0331, "theta": -0.049, "rho": 0.0058, "theo": 0.8789, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 1.71, "last_trade_time": "2026-07-31T09:34:40", "percent_change": 0.0, "prev_day_close": 1.12000000476837}, {"option": "DRAM260904P00073000", "bid": 21.9, "bid_size": 117.0, "ask": 23.65, "ask_size": 128.0, "iv": 0.9998, "open_interest": 2.0, "volume": 0.0, "delta": -0.8678, "gamma": 0.0154, "vega": 0.0321, "theta": -0.0477, "rho": -0.0354, "theo": 22.6466, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 20.03, "last_trade_time": "2026-07-27T09:30:05", "percent_change": 0.0, "prev_day_close": 22.8000001907349}, {"option": "DRAM260904C00074000", "bid": 0.52, "bid_size": 771.0, "ask": 1.19, "ask_size": 965.0, "iv": 0.9781, "open_interest": 5.0, "volume": 20.0, "delta": 0.1275, "gamma": 0.0142, "vega": 0.0315, "theta": -0.0466, "rho": 0.0054, "theo": 0.8051, "change": -0.16, "open": 0.69, "high": 0.87, "low": 0.69, "tick": "no_change", "last_trade_price": 0.87, "last_trade_time": "2026-08-03T14:15:37", "percent_change": -15.534, "prev_day_close": 1.03000000119209}, {"option": "DRAM260904P00074000", "bid": 22.65, "bid_size": 140.0, "ask": 24.45, "ask_size": 150.0, "iv": 0.9544, "open_interest": 0.0, "volume": 0.0, "delta": -0.8777, "gamma": 0.0146, "vega": 0.0304, "theta": -0.0452, "rho": -0.0352, "theo": 23.5737, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 23.75}, {"option": "DRAM260904C00075000", "bid": 0.58, "bid_size": 753.0, "ask": 1.0, "ask_size": 828.0, "iv": 0.9814, "open_interest": 194.0, "volume": 63.0, "delta": 0.1185, "gamma": 0.0135, "vega": 0.0299, "theta": -0.0443, "rho": 0.005, "theo": 0.7377, "change": -0.185, "open": 0.75, "high": 0.79, "low": 0.61, "tick": "up", "last_trade_price": 0.79, "last_trade_time": "2026-08-03T14:07:03", "percent_change": -18.9744, "prev_day_close": 0.974999994039536}, {"option": "DRAM260904P00075000", "bid": 23.7, "bid_size": 100.0, "ask": 25.5, "ask_size": 124.0, "iv": 0.9956, "open_interest": 0.0, "volume": 1.0, "delta": -0.887, "gamma": 0.0139, "vega": 0.0286, "theta": -0.0428, "rho": -0.0345, "theo": 24.5076, "change": 0.875, "open": 25.6, "high": 25.6, "low": 25.6, "tick": "up", "last_trade_price": 25.6, "last_trade_time": "2026-08-03T11:43:52", "percent_change": 3.53893, "prev_day_close": 24.7250003814697}, {"option": "DRAM260904C00080000", "bid": 0.25, "bid_size": 1168.0, "ask": 0.65, "ask_size": 841.0, "iv": 0.9604, "open_interest": 76.0, "volume": 12.0, "delta": 0.0822, "gamma": 0.0102, "vega": 0.0229, "theta": -0.034, "rho": 0.0035, "theo": 0.4798, "change": -0.16, "open": 0.39, "high": 0.51, "low": 0.38, "tick": "up", "last_trade_price": 0.51, "last_trade_time": "2026-08-03T14:32:31", "percent_change": -23.8806, "prev_day_close": 0.669999986886978}, {"option": "DRAM260904P00080000", "bid": 28.4, "bid_size": 39.0, "ask": 30.25, "ask_size": 59.0, "iv": 1.0048, "open_interest": 0.0, "volume": 0.0, "delta": -0.9246, "gamma": 0.0107, "vega": 0.0211, "theta": -0.0322, "rho": -0.0322, "theo": 29.258, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 29.3500003814697}, {"option": "DRAM260904C00085000", "bid": 0.23, "bid_size": 328.0, "ask": 0.5, "ask_size": 1043.0, "iv": 1.0125, "open_interest": 14.0, "volume": 18.0, "delta": 0.0572, "gamma": 0.0076, "vega": 0.0173, "theta": -0.0258, "rho": 0.0024, "theo": 0.3163, "change": -0.1, "open": 0.3, "high": 0.31, "low": 0.3, "tick": "down", "last_trade_price": 0.3, "last_trade_time": "2026-08-03T14:01:57", "percent_change": -25.0, "prev_day_close": 0.399999983608723}, {"option": "DRAM260904P00085000", "bid": 33.1, "bid_size": 51.0, "ask": 35.1, "ask_size": 71.0, "iv": 0.9808, "open_interest": 25.0, "volume": 0.0, "delta": -0.951, "gamma": 0.0082, "vega": 0.0149, "theta": -0.0238, "rho": -0.028, "theo": 34.1061, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 33.15, "last_trade_time": "2026-07-31T09:47:50", "percent_change": 0.0, "prev_day_close": 34.1499996185303}, {"option": "DRAM260911C00030000", "bid": 20.95, "bid_size": 61.0, "ask": 22.3, "ask_size": 74.0, "iv": 1.1495, "open_interest": 1.0, "volume": 3.0, "delta": 0.9521, "gamma": 0.0053, "vega": 0.0162, "theta": -0.02, "rho": 0.0299, "theo": 21.5124, "change": 0.125, "open": 19.37, "high": 21.8, "low": 19.37, "tick": "up", "last_trade_price": 21.8, "last_trade_time": "2026-08-03T14:19:36", "percent_change": 0.5767, "prev_day_close": 21.6750001907349}, {"option": "DRAM260911P00030000", "bid": 0.24, "bid_size": 815.0, "ask": 0.56, "ask_size": 854.0, "iv": 1.09, "open_interest": 30.0, "volume": 254.0, "delta": -0.0463, "gamma": 0.0053, "vega": 0.0162, "theta": -0.022, "rho": -0.0029, "theo": 0.3898, "change": -0.09, "open": 0.55, "high": 0.56, "low": 0.4, "tick": "no_change", "last_trade_price": 0.41, "last_trade_time": "2026-08-03T14:17:23", "percent_change": -18.0, "prev_day_close": 0.499999985098839}, {"option": "DRAM260911C00035000", "bid": 16.3, "bid_size": 38.0, "ask": 18.25, "ask_size": 85.0, "iv": 1.1045, "open_interest": 0.0, "volume": 0.0, "delta": 0.9003, "gamma": 0.01, "vega": 0.0289, "theta": -0.0363, "rho": 0.0323, "theo": 17.0619, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 17.3250007629395}, {"option": "DRAM260911P00035000", "bid": 0.63, "bid_size": 705.0, "ask": 1.07, "ask_size": 272.0, "iv": 1.0099, "open_interest": 17.0, "volume": 22.0, "delta": -0.0982, "gamma": 0.01, "vega": 0.0289, "theta": -0.0379, "rho": -0.0062, "theo": 0.916, "change": -0.195, "open": 1.32, "high": 1.32, "low": 0.9, "tick": "up", "last_trade_price": 0.91, "last_trade_time": "2026-08-03T15:25:25", "percent_change": -17.6471, "prev_day_close": 1.10499998927116}, {"option": "DRAM260911C00038000", "bid": 13.9, "bid_size": 122.0, "ask": 15.5, "ask_size": 187.0, "iv": 1.0381, "open_interest": 0.0, "volume": 0.0, "delta": 0.8555, "gamma": 0.0133, "vega": 0.0377, "theta": -0.0472, "rho": 0.0326, "theo": 14.5908, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.8499999046326}, {"option": "DRAM260911P00038000", "bid": 1.18, "bid_size": 453.0, "ask": 1.44, "ask_size": 1.0, "iv": 0.9766, "open_interest": 44.0, "volume": 11.0, "delta": -0.1431, "gamma": 0.0134, "vega": 0.0377, "theta": -0.0486, "rho": -0.0089, "theo": 1.4314, "change": -0.225, "open": 1.8, "high": 1.8, "low": 1.43, "tick": "down", "last_trade_price": 1.43, "last_trade_time": "2026-08-03T15:27:58", "percent_change": -13.5952, "prev_day_close": 1.65499997138977}, {"option": "DRAM260911C00039000", "bid": 13.0, "bid_size": 151.0, "ask": 14.8, "ask_size": 182.0, "iv": 1.0248, "open_interest": 0.0, "volume": 0.0, "delta": 0.8382, "gamma": 0.0145, "vega": 0.0407, "theta": -0.0508, "rho": 0.0325, "theo": 13.8083, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.125}, {"option": "DRAM260911P00039000", "bid": 1.35, "bid_size": 658.0, "ask": 2.0, "ask_size": 664.0, "iv": 1.0099, "open_interest": 0.0, "volume": 1.0, "delta": -0.1604, "gamma": 0.0145, "vega": 0.0407, "theta": -0.0521, "rho": -0.0101, "theo": 1.6443, "change": 0.28, "open": 2.11, "high": 2.11, "low": 2.11, "tick": "up", "last_trade_price": 2.11, "last_trade_time": "2026-08-03T10:01:33", "percent_change": 15.3005, "prev_day_close": 1.8299999833107}, {"option": "DRAM260911C00040000", "bid": 12.2, "bid_size": 165.0, "ask": 14.1, "ask_size": 229.0, "iv": 1.019, "open_interest": 0.0, "volume": 0.0, "delta": 0.8198, "gamma": 0.0156, "vega": 0.0436, "theta": -0.0544, "rho": 0.0323, "theo": 13.048, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 13.3249998092651}, {"option": "DRAM260911P00040000", "bid": 1.49, "bid_size": 578.0, "ask": 2.02, "ask_size": 190.0, "iv": 0.9669, "open_interest": 73.0, "volume": 45.0, "delta": -0.1788, "gamma": 0.0157, "vega": 0.0437, "theta": -0.0556, "rho": -0.0111, "theo": 1.8796, "change": -0.175, "open": 2.38, "high": 2.38, "low": 1.86, "tick": "no_change", "last_trade_price": 1.86, "last_trade_time": "2026-08-03T15:34:27", "percent_change": -8.59951, "prev_day_close": 2.03500002622604}, {"option": "DRAM260911C00041000", "bid": 11.5, "bid_size": 131.0, "ask": 13.2, "ask_size": 158.0, "iv": 0.9979, "open_interest": 0.0, "volume": 0.0, "delta": 0.8004, "gamma": 0.0168, "vega": 0.0465, "theta": -0.0578, "rho": 0.032, "theo": 12.3113, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 12.5749998092651}, {"option": "DRAM260911P00041000", "bid": 1.81, "bid_size": 736.0, "ask": 2.4, "ask_size": 593.0, "iv": 0.9823, "open_interest": 18.0, "volume": 55.0, "delta": -0.1983, "gamma": 0.0168, "vega": 0.0465, "theta": -0.059, "rho": -0.0124, "theo": 2.1388, "change": -0.24, "open": 2.75, "high": 2.75, "low": 2.05, "tick": "down", "last_trade_price": 2.05, "last_trade_time": "2026-08-03T15:42:39", "percent_change": -10.4803, "prev_day_close": 2.28999996185303}, {"option": "DRAM260911C00041500", "bid": 11.1, "bid_size": 186.0, "ask": 12.75, "ask_size": 179.0, "iv": 0.981, "open_interest": 0.0, "volume": 0.0, "delta": 0.7903, "gamma": 0.0173, "vega": 0.0479, "theta": -0.0595, "rho": 0.0319, "theo": 11.9522, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 12.2000002861023}, {"option": "DRAM260911P00041500", "bid": 1.76, "bid_size": 751.0, "ask": 2.39, "ask_size": 25.0, "iv": 0.9439, "open_interest": 1.0, "volume": 50.0, "delta": -0.2084, "gamma": 0.0174, "vega": 0.0479, "theta": -0.0606, "rho": -0.0131, "theo": 2.2774, "change": 0.46, "open": 2.87, "high": 2.87, "low": 2.87, "tick": "no_change", "last_trade_price": 2.87, "last_trade_time": "2026-08-03T10:02:20", "percent_change": 19.0871, "prev_day_close": 2.41000008583069}, {"option": "DRAM260911C00042000", "bid": 11.15, "bid_size": 127.0, "ask": 12.3, "ask_size": 190.0, "iv": 1.0093, "open_interest": 0.0, "volume": 0.0, "delta": 0.78, "gamma": 0.0179, "vega": 0.0492, "theta": -0.0611, "rho": 0.0317, "theo": 11.5992, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 11.9000000953674}, {"option": "DRAM260911P00042000", "bid": 2.03, "bid_size": 761.0, "ask": 2.5, "ask_size": 21.0, "iv": 0.9517, "open_interest": 0.0, "volume": 2.0, "delta": -0.2188, "gamma": 0.0179, "vega": 0.0493, "theta": -0.0622, "rho": -0.0138, "theo": 2.4222, "change": 0.605, "open": 3.15, "high": 3.15, "low": 3.05, "tick": "down", "last_trade_price": 3.05, "last_trade_time": "2026-08-03T10:10:23", "percent_change": 24.7444, "prev_day_close": 2.44499999284744}, {"option": "DRAM260911C00042500", "bid": 10.45, "bid_size": 159.0, "ask": 12.25, "ask_size": 204.0, "iv": 1.0004, "open_interest": 0.0, "volume": 0.0, "delta": 0.7694, "gamma": 0.0184, "vega": 0.0506, "theta": -0.0627, "rho": 0.0315, "theo": 11.2525, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 11.5999999046326}, {"option": "DRAM260911P00042500", "bid": 2.25, "bid_size": 463.0, "ask": 2.87, "ask_size": 624.0, "iv": 0.9784, "open_interest": 0.0, "volume": 0.0, "delta": -0.2294, "gamma": 0.0185, "vega": 0.0507, "theta": -0.0637, "rho": -0.0142, "theo": 2.5734, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.62999999523163}, {"option": "DRAM260911C00043000", "bid": 10.6, "bid_size": 107.0, "ask": 11.65, "ask_size": 191.0, "iv": 1.0193, "open_interest": 0.0, "volume": 0.0, "delta": 0.7586, "gamma": 0.0189, "vega": 0.0519, "theta": -0.0642, "rho": 0.0312, "theo": 10.9122, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 11.2750000953674}, {"option": "DRAM260911P00043000", "bid": 2.43, "bid_size": 458.0, "ask": 2.95, "ask_size": 315.0, "iv": 0.9705, "open_interest": 3.0, "volume": 47.0, "delta": -0.2402, "gamma": 0.019, "vega": 0.052, "theta": -0.0652, "rho": -0.0149, "theo": 2.7313, "change": 0.01, "open": 3.3, "high": 3.3, "low": 2.89, "tick": "no_change", "last_trade_price": 2.89, "last_trade_time": "2026-08-03T13:34:04", "percent_change": 0.347222, "prev_day_close": 2.87999999523163}, {"option": "DRAM260911C00043500", "bid": 10.0, "bid_size": 228.0, "ask": 11.4, "ask_size": 280.0, "iv": 0.9988, "open_interest": 0.0, "volume": 0.0, "delta": 0.7476, "gamma": 0.0194, "vega": 0.0532, "theta": -0.0657, "rho": 0.031, "theo": 10.5785, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.9749999046326}, {"option": "DRAM260911P00043500", "bid": 2.47, "bid_size": 830.0, "ask": 3.35, "ask_size": 963.0, "iv": 0.9786, "open_interest": 4.0, "volume": 48.0, "delta": -0.2513, "gamma": 0.0195, "vega": 0.0532, "theta": -0.0667, "rho": -0.0156, "theo": 2.8955, "change": -0.065, "open": 3.65, "high": 3.65, "low": 3.05, "tick": "no_change", "last_trade_price": 3.06, "last_trade_time": "2026-08-03T13:34:04", "percent_change": -2.08, "prev_day_close": 3.125}, {"option": "DRAM260911C00044000", "bid": 9.9, "bid_size": 229.0, "ask": 10.8, "ask_size": 250.0, "iv": 0.9916, "open_interest": 0.0, "volume": 0.0, "delta": 0.7364, "gamma": 0.0199, "vega": 0.0544, "theta": -0.0671, "rho": 0.0307, "theo": 10.2515, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.2750000953674}, {"option": "DRAM260911P00044000", "bid": 2.76, "bid_size": 559.0, "ask": 3.45, "ask_size": 879.0, "iv": 0.9806, "open_interest": 21.0, "volume": 174.0, "delta": -0.2625, "gamma": 0.02, "vega": 0.0544, "theta": -0.068, "rho": -0.0164, "theo": 3.0663, "change": -0.325, "open": 3.82, "high": 3.82, "low": 2.92, "tick": "down", "last_trade_price": 2.92, "last_trade_time": "2026-08-03T15:50:53", "percent_change": -10.0154, "prev_day_close": 3.24500000476837}, {"option": "DRAM260911C00044500", "bid": 9.55, "bid_size": 175.0, "ask": 10.5, "ask_size": 235.0, "iv": 0.9881, "open_interest": 1.0, "volume": 0.0, "delta": 0.725, "gamma": 0.0204, "vega": 0.0555, "theta": -0.0685, "rho": 0.0304, "theo": 9.931, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 10.6, "last_trade_time": "2026-07-30T14:21:05", "percent_change": 0.0, "prev_day_close": 10.1500000953674}, {"option": "DRAM260911P00044500", "bid": 2.7, "bid_size": 992.0, "ask": 3.4, "ask_size": 217.0, "iv": 0.9362, "open_interest": 24.0, "volume": 303.0, "delta": -0.2739, "gamma": 0.0205, "vega": 0.0556, "theta": -0.0694, "rho": -0.0172, "theo": 3.2437, "change": -0.465, "open": 4.3, "high": 4.3, "low": 3.06, "tick": "down", "last_trade_price": 3.06, "last_trade_time": "2026-08-03T15:50:53", "percent_change": -13.1915, "prev_day_close": 3.52499997615814}, {"option": "DRAM260911C00045000", "bid": 9.3, "bid_size": 225.0, "ask": 10.35, "ask_size": 357.0, "iv": 1.0055, "open_interest": 1.0, "volume": 4.0, "delta": 0.7135, "gamma": 0.0209, "vega": 0.0567, "theta": -0.0698, "rho": 0.0301, "theo": 9.6171, "change": -1.835, "open": 8.19, "high": 8.19, "low": 8.19, "tick": "down", "last_trade_price": 8.19, "last_trade_time": "2026-08-03T09:38:26", "percent_change": -18.3042, "prev_day_close": 10.0250000953674}, {"option": "DRAM260911P00045000", "bid": 3.0, "bid_size": 515.0, "ask": 3.5, "ask_size": 1.0, "iv": 0.9374, "open_interest": 21.0, "volume": 151.0, "delta": -0.2855, "gamma": 0.021, "vega": 0.0568, "theta": -0.0706, "rho": -0.0176, "theo": 3.4277, "change": -0.275, "open": 4.2, "high": 4.25, "low": 3.3, "tick": "up", "last_trade_price": 3.4, "last_trade_time": "2026-08-03T15:22:36", "percent_change": -7.483, "prev_day_close": 3.67500007152557}, {"option": "DRAM260911C00045500", "bid": 9.05, "bid_size": 94.0, "ask": 9.95, "ask_size": 268.0, "iv": 1.0082, "open_interest": 0.0, "volume": 0.0, "delta": 0.7018, "gamma": 0.0213, "vega": 0.0577, "theta": -0.071, "rho": 0.0298, "theo": 9.31, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.77500009536743}, {"option": "DRAM260911P00045500", "bid": 3.25, "bid_size": 324.0, "ask": 3.7, "ask_size": 1.0, "iv": 0.9418, "open_interest": 0.0, "volume": 224.0, "delta": -0.2972, "gamma": 0.0214, "vega": 0.0578, "theta": -0.0718, "rho": -0.0184, "theo": 3.619, "change": -0.275, "open": 3.7, "high": 3.71, "low": 3.45, "tick": "down", "last_trade_price": 3.45, "last_trade_time": "2026-08-03T15:50:53", "percent_change": -7.38255, "prev_day_close": 3.72499990463257}, {"option": "DRAM260911C00046000", "bid": 8.0, "bid_size": 291.0, "ask": 9.9, "ask_size": 484.0, "iv": 0.9544, "open_interest": 0.0, "volume": 0.0, "delta": 0.6899, "gamma": 0.0217, "vega": 0.0588, "theta": -0.0722, "rho": 0.0294, "theo": 9.0097, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.47499990463257}, {"option": "DRAM260911P00046000", "bid": 3.3, "bid_size": 586.0, "ask": 3.9, "ask_size": 6.0, "iv": 0.9277, "open_interest": 23.0, "volume": 243.0, "delta": -0.3091, "gamma": 0.0218, "vega": 0.0588, "theta": -0.073, "rho": -0.0192, "theo": 3.8168, "change": -0.305, "open": 4.1, "high": 4.15, "low": 3.68, "tick": "up", "last_trade_price": 3.72, "last_trade_time": "2026-08-03T15:50:53", "percent_change": -7.57764, "prev_day_close": 4.02499985694885}, {"option": "DRAM260911C00046500", "bid": 8.2, "bid_size": 295.0, "ask": 9.15, "ask_size": 199.0, "iv": 0.9557, "open_interest": 0.0, "volume": 0.0, "delta": 0.678, "gamma": 0.0221, "vega": 0.0597, "theta": -0.0733, "rho": 0.029, "theo": 8.7163, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.84999990463257}, {"option": "DRAM260911P00046500", "bid": 3.55, "bid_size": 521.0, "ask": 4.2, "ask_size": 276.0, "iv": 0.9381, "open_interest": 2.0, "volume": 21.0, "delta": -0.3211, "gamma": 0.0222, "vega": 0.0598, "theta": -0.074, "rho": -0.02, "theo": 4.0214, "change": -0.21, "open": 4.2, "high": 4.44, "low": 3.89, "tick": "up", "last_trade_price": 4.04, "last_trade_time": "2026-08-03T15:09:04", "percent_change": -4.94118, "prev_day_close": 4.25}, {"option": "DRAM260911C00047000", "bid": 8.2, "bid_size": 138.0, "ask": 9.0, "ask_size": 345.0, "iv": 0.9888, "open_interest": 0.0, "volume": 0.0, "delta": 0.6659, "gamma": 0.0225, "vega": 0.0606, "theta": -0.0743, "rho": 0.0287, "theo": 8.4297, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.67500019073486}, {"option": "DRAM260911P00047000", "bid": 3.85, "bid_size": 491.0, "ask": 4.35, "ask_size": 43.0, "iv": 0.9388, "open_interest": 1.0, "volume": 49.0, "delta": -0.3332, "gamma": 0.0226, "vega": 0.0607, "theta": -0.075, "rho": -0.0208, "theo": 4.2327, "change": -0.325, "open": 5.29, "high": 5.37, "low": 3.91, "tick": "up", "last_trade_price": 4.1, "last_trade_time": "2026-08-03T15:53:08", "percent_change": -7.34464, "prev_day_close": 4.42500019073486}, {"option": "DRAM260911C00047500", "bid": 7.8, "bid_size": 157.0, "ask": 8.65, "ask_size": 239.0, "iv": 0.9874, "open_interest": 0.0, "volume": 0.0, "delta": 0.6538, "gamma": 0.0229, "vega": 0.0615, "theta": -0.0752, "rho": 0.0283, "theo": 8.1498, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.75, "last_trade_time": "2026-07-30T10:06:45", "percent_change": 0.0, "prev_day_close": 8.59999990463257}, {"option": "DRAM260911P00047500", "bid": 4.1, "bid_size": 216.0, "ask": 4.55, "ask_size": 1.0, "iv": 0.9384, "open_interest": 0.0, "volume": 20.0, "delta": -0.3454, "gamma": 0.023, "vega": 0.0615, "theta": -0.0759, "rho": -0.0216, "theo": 4.4508, "change": -0.395, "open": 4.65, "high": 4.65, "low": 4.21, "tick": "up", "last_trade_price": 4.33, "last_trade_time": "2026-08-03T15:53:08", "percent_change": -8.35979, "prev_day_close": 4.72500014305115}, {"option": "DRAM260911C00048000", "bid": 7.6, "bid_size": 168.0, "ask": 8.25, "ask_size": 202.0, "iv": 0.9649, "open_interest": 1.0, "volume": 0.0, "delta": 0.6415, "gamma": 0.0232, "vega": 0.0622, "theta": -0.0761, "rho": 0.0279, "theo": 7.8767, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.15, "last_trade_time": "2026-07-31T14:46:54", "percent_change": 0.0, "prev_day_close": 8.09999990463257}, {"option": "DRAM260911P00048000", "bid": 4.4, "bid_size": 133.0, "ask": 4.85, "ask_size": 174.0, "iv": 0.9489, "open_interest": 13.0, "volume": 11.0, "delta": -0.3578, "gamma": 0.0233, "vega": 0.0623, "theta": -0.0767, "rho": -0.022, "theo": 4.6762, "change": -0.315, "open": 4.88, "high": 4.88, "low": 4.56, "tick": "down", "last_trade_price": 4.56, "last_trade_time": "2026-08-03T15:58:15", "percent_change": -6.46154, "prev_day_close": 4.875}, {"option": "DRAM260911C00048500", "bid": 7.25, "bid_size": 336.0, "ask": 8.95, "ask_size": 687.0, "iv": 1.0332, "open_interest": 0.0, "volume": 2.0, "delta": 0.6292, "gamma": 0.0235, "vega": 0.063, "theta": -0.0769, "rho": 0.0275, "theo": 7.6105, "change": -0.405, "open": 6.4, "high": 7.67, "low": 6.4, "tick": "up", "last_trade_price": 7.67, "last_trade_time": "2026-08-03T14:14:51", "percent_change": -5.01548, "prev_day_close": 8.0750002861023}, {"option": "DRAM260911P00048500", "bid": 4.6, "bid_size": 225.0, "ask": 5.05, "ask_size": 37.0, "iv": 0.9382, "open_interest": 0.0, "volume": 127.0, "delta": -0.3701, "gamma": 0.0236, "vega": 0.063, "theta": -0.0775, "rho": -0.0228, "theo": 4.9083, "change": -0.175, "open": 6.07, "high": 6.07, "low": 4.8, "tick": "no_change", "last_trade_price": 4.8, "last_trade_time": "2026-08-03T15:53:08", "percent_change": -3.51759, "prev_day_close": 4.97500014305115}, {"option": "DRAM260911C00049000", "bid": 7.15, "bid_size": 21.0, "ask": 8.0, "ask_size": 356.0, "iv": 0.9969, "open_interest": 0.0, "volume": 6.0, "delta": 0.6168, "gamma": 0.0238, "vega": 0.0636, "theta": -0.0776, "rho": 0.0271, "theo": 7.3512, "change": -0.38, "open": 6.55, "high": 7.17, "low": 6.55, "tick": "up", "last_trade_price": 7.17, "last_trade_time": "2026-08-03T13:27:21", "percent_change": -5.03311, "prev_day_close": 7.54999995231628}, {"option": "DRAM260911P00049000", "bid": 4.8, "bid_size": 298.0, "ask": 5.35, "ask_size": 228.0, "iv": 0.9425, "open_interest": 26.0, "volume": 123.0, "delta": -0.3825, "gamma": 0.0239, "vega": 0.0637, "theta": -0.0781, "rho": -0.0238, "theo": 5.1471, "change": -0.265, "open": 5.46, "high": 5.46, "low": 5.11, "tick": "down", "last_trade_price": 5.11, "last_trade_time": "2026-08-03T15:45:22", "percent_change": -4.93023, "prev_day_close": 5.375}, {"option": "DRAM260911C00049500", "bid": 6.9, "bid_size": 46.0, "ask": 7.7, "ask_size": 422.0, "iv": 0.9837, "open_interest": 0.0, "volume": 1.0, "delta": 0.6044, "gamma": 0.0241, "vega": 0.0642, "theta": -0.0782, "rho": 0.0266, "theo": 7.0986, "change": -0.955, "open": 6.37, "high": 6.37, "low": 6.37, "tick": "down", "last_trade_price": 6.37, "last_trade_time": "2026-08-03T10:28:19", "percent_change": -13.0375, "prev_day_close": 7.32500004768372}, {"option": "DRAM260911P00049500", "bid": 5.05, "bid_size": 229.0, "ask": 5.65, "ask_size": 382.0, "iv": 0.9457, "open_interest": 0.0, "volume": 13.0, "delta": -0.395, "gamma": 0.0242, "vega": 0.0642, "theta": -0.0787, "rho": -0.0245, "theo": 5.3927, "change": -0.33, "open": 5.8, "high": 5.86, "low": 5.37, "tick": "down", "last_trade_price": 5.37, "last_trade_time": "2026-08-03T15:45:22", "percent_change": -5.78947, "prev_day_close": 5.70000004768372}, {"option": "DRAM260911C00050000", "bid": 6.6, "bid_size": 172.0, "ask": 7.4, "ask_size": 497.0, "iv": 0.9736, "open_interest": 25.0, "volume": 19.0, "delta": 0.592, "gamma": 0.0243, "vega": 0.0647, "theta": -0.0788, "rho": 0.0262, "theo": 6.8527, "change": -0.7, "open": 5.5, "high": 6.52, "low": 5.5, "tick": "down", "last_trade_price": 6.25, "last_trade_time": "2026-08-03T12:38:25", "percent_change": -10.0719, "prev_day_close": 6.95000004768372}, {"option": "DRAM260911P00050000", "bid": 5.35, "bid_size": 121.0, "ask": 5.8, "ask_size": 146.0, "iv": 0.94, "open_interest": 21.0, "volume": 192.0, "delta": -0.4075, "gamma": 0.0244, "vega": 0.0648, "theta": -0.0792, "rho": -0.0254, "theo": 5.6449, "change": -0.39, "open": 5.85, "high": 5.85, "low": 5.49, "tick": "down", "last_trade_price": 5.56, "last_trade_time": "2026-08-03T15:58:15", "percent_change": -6.55462, "prev_day_close": 5.95000004768372}, {"option": "DRAM260911C00050500", "bid": 6.2, "bid_size": 300.0, "ask": 7.05, "ask_size": 426.0, "iv": 0.9512, "open_interest": 1.0, "volume": 0.0, "delta": 0.5796, "gamma": 0.0245, "vega": 0.0652, "theta": -0.0792, "rho": 0.0258, "theo": 6.6134, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.7, "last_trade_time": "2026-07-30T10:20:54", "percent_change": 0.0, "prev_day_close": 6.92499995231628}, {"option": "DRAM260911P00050500", "bid": 5.55, "bid_size": 292.0, "ask": 6.1, "ask_size": 230.0, "iv": 0.9374, "open_interest": 7.0, "volume": 194.0, "delta": -0.4199, "gamma": 0.0246, "vega": 0.0652, "theta": -0.0797, "rho": -0.0257, "theo": 5.9039, "change": -0.325, "open": 6.2, "high": 6.2, "low": 5.72, "tick": "up", "last_trade_price": 5.95, "last_trade_time": "2026-08-03T15:10:56", "percent_change": -5.17928, "prev_day_close": 6.27500009536743}, {"option": "DRAM260911C00051000", "bid": 6.2, "bid_size": 34.0, "ask": 6.65, "ask_size": 70.0, "iv": 0.9549, "open_interest": 16.0, "volume": 46.0, "delta": 0.5672, "gamma": 0.0247, "vega": 0.0656, "theta": -0.0796, "rho": 0.0253, "theo": 6.3807, "change": -0.38, "open": 5.5, "high": 6.6, "low": 5.5, "tick": "up", "last_trade_price": 6.42, "last_trade_time": "2026-08-03T15:59:36", "percent_change": -5.58824, "prev_day_close": 6.80000019073486}, {"option": "DRAM260911P00051000", "bid": 5.65, "bid_size": 384.0, "ask": 6.5, "ask_size": 411.0, "iv": 0.9337, "open_interest": 13.0, "volume": 18.0, "delta": -0.4324, "gamma": 0.0248, "vega": 0.0656, "theta": -0.08, "rho": -0.0265, "theo": 6.1699, "change": -0.18, "open": 6.4, "high": 6.4, "low": 6.12, "tick": "down", "last_trade_price": 6.12, "last_trade_time": "2026-08-03T15:59:51", "percent_change": -2.85714, "prev_day_close": 6.29999995231628}, {"option": "DRAM260911C00052000", "bid": 5.75, "bid_size": 47.0, "ask": 6.3, "ask_size": 303.0, "iv": 0.9593, "open_interest": 2.0, "volume": 3.0, "delta": 0.5424, "gamma": 0.025, "vega": 0.0661, "theta": -0.0802, "rho": 0.0244, "theo": 5.9352, "change": -0.15, "open": 5.35, "high": 6.05, "low": 5.35, "tick": "up", "last_trade_price": 6.05, "last_trade_time": "2026-08-03T15:54:42", "percent_change": -2.41936, "prev_day_close": 6.20000004768372}, {"option": "DRAM260911P00052000", "bid": 6.3, "bid_size": 256.0, "ask": 7.0, "ask_size": 296.0, "iv": 0.935, "open_interest": 1.0, "volume": 0.0, "delta": -0.4573, "gamma": 0.0251, "vega": 0.0662, "theta": -0.0805, "rho": -0.0282, "theo": 6.7211, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.99, "last_trade_time": "2026-07-31T11:01:34", "percent_change": 0.0, "prev_day_close": 6.97500014305115}, {"option": "DRAM260911C00052500", "bid": 5.45, "bid_size": 196.0, "ask": 6.05, "ask_size": 279.0, "iv": 0.9488, "open_interest": 0.0, "volume": 0.0, "delta": 0.5302, "gamma": 0.0251, "vega": 0.0663, "theta": -0.0803, "rho": 0.0239, "theo": 5.7221, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 6.09999990463257}, {"option": "DRAM260911P00052500", "bid": 6.5, "bid_size": 338.0, "ask": 7.35, "ask_size": 342.0, "iv": 0.9323, "open_interest": 2.0, "volume": 0.0, "delta": -0.4696, "gamma": 0.0252, "vega": 0.0663, "theta": -0.0806, "rho": -0.0291, "theo": 7.0063, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.25, "last_trade_time": "2026-07-31T13:09:34", "percent_change": 0.0, "prev_day_close": 7.22499990463257}, {"option": "DRAM260911C00053000", "bid": 5.35, "bid_size": 10.0, "ask": 5.95, "ask_size": 331.0, "iv": 0.9638, "open_interest": 3.0, "volume": 174.0, "delta": 0.5179, "gamma": 0.0251, "vega": 0.0664, "theta": -0.0804, "rho": 0.0234, "theo": 5.5153, "change": -0.3, "open": 4.23, "high": 5.78, "low": 3.95, "tick": "down", "last_trade_price": 5.6, "last_trade_time": "2026-08-03T15:37:50", "percent_change": -5.08475, "prev_day_close": 5.90000009536743}, {"option": "DRAM260911P00053000", "bid": 6.85, "bid_size": 197.0, "ask": 7.7, "ask_size": 430.0, "iv": 0.9401, "open_interest": 1.0, "volume": 1.0, "delta": -0.4819, "gamma": 0.0253, "vega": 0.0665, "theta": -0.0806, "rho": -0.0299, "theo": 7.2977, "change": -0.265, "open": 7.21, "high": 7.21, "low": 7.21, "tick": "down", "last_trade_price": 7.21, "last_trade_time": "2026-08-03T13:50:01", "percent_change": -3.54515, "prev_day_close": 7.47500014305115}, {"option": "DRAM260911C00053500", "bid": 4.6, "bid_size": 494.0, "ask": 5.8, "ask_size": 526.0, "iv": 0.9253, "open_interest": 0.0, "volume": 43.0, "delta": 0.5058, "gamma": 0.0252, "vega": 0.0665, "theta": -0.0804, "rho": 0.023, "theo": 5.3146, "change": -0.525, "open": 4.82, "high": 5.25, "low": 4.82, "tick": "no_change", "last_trade_price": 5.25, "last_trade_time": "2026-08-03T13:30:48", "percent_change": -9.09091, "prev_day_close": 5.77500009536743}, {"option": "DRAM260911P00053500", "bid": 7.05, "bid_size": 381.0, "ask": 8.2, "ask_size": 512.0, "iv": 0.947, "open_interest": 1.0, "volume": 0.0, "delta": -0.4942, "gamma": 0.0253, "vega": 0.0665, "theta": -0.0806, "rho": -0.0301, "theo": 7.5958, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.24, "last_trade_time": "2026-07-31T09:44:39", "percent_change": 0.0, "prev_day_close": 7.77500009536743}, {"option": "DRAM260911C00054000", "bid": 4.45, "bid_size": 530.0, "ask": 5.55, "ask_size": 454.0, "iv": 0.9236, "open_interest": 3.0, "volume": 0.0, "delta": 0.4937, "gamma": 0.0252, "vega": 0.0665, "theta": -0.0803, "rho": 0.0225, "theo": 5.1202, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.4, "last_trade_time": "2026-07-31T12:17:58", "percent_change": 0.0, "prev_day_close": 5.42499995231628}, {"option": "DRAM260911P00054000", "bid": 7.35, "bid_size": 336.0, "ask": 8.65, "ask_size": 526.0, "iv": 0.9566, "open_interest": 1.0, "volume": 2.0, "delta": -0.5063, "gamma": 0.0254, "vega": 0.0665, "theta": -0.0805, "rho": -0.0307, "theo": 7.9002, "change": 0.53, "open": 9.7, "high": 9.7, "low": 8.48, "tick": "down", "last_trade_price": 8.48, "last_trade_time": "2026-08-03T10:37:36", "percent_change": 6.66667, "prev_day_close": 7.95000004768372}, {"option": "DRAM260911C00054500", "bid": 4.3, "bid_size": 511.0, "ask": 5.35, "ask_size": 455.0, "iv": 0.9247, "open_interest": 1.0, "volume": 0.0, "delta": 0.4817, "gamma": 0.0252, "vega": 0.0664, "theta": -0.0802, "rho": 0.022, "theo": 4.9318, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.4, "last_trade_time": "2026-07-31T10:28:57", "percent_change": 0.0, "prev_day_close": 5.27500009536743}, {"option": "DRAM260911P00054500", "bid": 7.75, "bid_size": 158.0, "ask": 8.95, "ask_size": 475.0, "iv": 0.9618, "open_interest": 0.0, "volume": 0.0, "delta": -0.5184, "gamma": 0.0254, "vega": 0.0664, "theta": -0.0803, "rho": -0.0316, "theo": 8.2105, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.5}, {"option": "DRAM260911C00055000", "bid": 4.55, "bid_size": 128.0, "ask": 5.4, "ask_size": 708.0, "iv": 0.9739, "open_interest": 19.0, "volume": 21.0, "delta": 0.4699, "gamma": 0.0252, "vega": 0.0663, "theta": -0.0799, "rho": 0.0215, "theo": 4.7495, "change": -0.08, "open": 3.98, "high": 4.82, "low": 3.98, "tick": "up", "last_trade_price": 4.82, "last_trade_time": "2026-08-03T15:44:01", "percent_change": -1.63266, "prev_day_close": 4.90000009536743}, {"option": "DRAM260911P00055000", "bid": 8.15, "bid_size": 116.0, "ask": 8.85, "ask_size": 279.0, "iv": 0.9359, "open_interest": 2.0, "volume": 3.0, "delta": -0.5303, "gamma": 0.0254, "vega": 0.0663, "theta": -0.0801, "rho": -0.0324, "theo": 8.5266, "change": -0.215, "open": 9.1, "high": 9.1, "low": 8.51, "tick": "down", "last_trade_price": 8.51, "last_trade_time": "2026-08-03T14:14:36", "percent_change": -2.46418, "prev_day_close": 8.72499990463257}, {"option": "DRAM260911C00055500", "bid": 4.4, "bid_size": 23.0, "ask": 5.05, "ask_size": 643.0, "iv": 0.9622, "open_interest": 0.0, "volume": 4.0, "delta": 0.4581, "gamma": 0.0251, "vega": 0.0662, "theta": -0.0797, "rho": 0.021, "theo": 4.573, "change": -0.155, "open": 4.67, "high": 4.67, "low": 4.62, "tick": "down", "last_trade_price": 4.62, "last_trade_time": "2026-08-03T15:18:54", "percent_change": -3.24607, "prev_day_close": 4.77499985694885}, {"option": "DRAM260911P00055500", "bid": 8.45, "bid_size": 118.0, "ask": 9.35, "ask_size": 469.0, "iv": 0.947, "open_interest": 0.0, "volume": 0.0, "delta": -0.5421, "gamma": 0.0253, "vega": 0.0661, "theta": -0.0798, "rho": -0.0333, "theo": 8.8486, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.15000009536743}, {"option": "DRAM260911C00056000", "bid": 4.25, "bid_size": 13.0, "ask": 4.95, "ask_size": 438.0, "iv": 0.9685, "open_interest": 5.0, "volume": 9.0, "delta": 0.4465, "gamma": 0.0251, "vega": 0.0659, "theta": -0.0793, "rho": 0.0206, "theo": 4.4021, "change": -0.475, "open": 3.9, "high": 4.48, "low": 3.9, "tick": "down", "last_trade_price": 4.45, "last_trade_time": "2026-08-03T15:18:54", "percent_change": -9.64467, "prev_day_close": 4.92499995231628}, {"option": "DRAM260911P00056000", "bid": 8.8, "bid_size": 98.0, "ask": 9.65, "ask_size": 392.0, "iv": 0.9459, "open_interest": 4.0, "volume": 1.0, "delta": -0.5538, "gamma": 0.0252, "vega": 0.0659, "theta": -0.0794, "rho": -0.034, "theo": 9.1762, "change": 0.09, "open": 9.44, "high": 9.44, "low": 9.44, "tick": "down", "last_trade_price": 9.44, "last_trade_time": "2026-08-03T13:41:40", "percent_change": 0.962568, "prev_day_close": 9.34999990463257}, {"option": "DRAM260911C00057000", "bid": 3.5, "bid_size": 733.0, "ask": 4.6, "ask_size": 850.0, "iv": 0.9331, "open_interest": 8.0, "volume": 5.0, "delta": 0.4238, "gamma": 0.0249, "vega": 0.0653, "theta": -0.0785, "rho": 0.0196, "theo": 4.0771, "change": -0.68, "open": 3.27, "high": 3.72, "low": 3.27, "tick": "up", "last_trade_price": 3.72, "last_trade_time": "2026-08-03T10:33:44", "percent_change": -15.4545, "prev_day_close": 4.40000009536743}, {"option": "DRAM260911P00057000", "bid": 9.45, "bid_size": 138.0, "ask": 10.55, "ask_size": 450.0, "iv": 0.9604, "open_interest": 0.0, "volume": 0.0, "delta": -0.5767, "gamma": 0.025, "vega": 0.0652, "theta": -0.0785, "rho": -0.0346, "theo": 9.8491, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.2249999046326}, {"option": "DRAM260911C00058000", "bid": 3.6, "bid_size": 149.0, "ask": 4.1, "ask_size": 392.0, "iv": 0.948, "open_interest": 0.0, "volume": 3.0, "delta": 0.4016, "gamma": 0.0246, "vega": 0.0645, "theta": -0.0774, "rho": 0.0187, "theo": 3.7737, "change": -0.9, "open": 3.05, "high": 3.65, "low": 3.05, "tick": "down", "last_trade_price": 3.25, "last_trade_time": "2026-08-03T11:24:43", "percent_change": -21.6867, "prev_day_close": 4.14999985694885}, {"option": "DRAM260911P00058000", "bid": 10.15, "bid_size": 105.0, "ask": 11.0, "ask_size": 327.0, "iv": 0.9411, "open_interest": 1.0, "volume": 4.0, "delta": -0.5991, "gamma": 0.0248, "vega": 0.0644, "theta": -0.0774, "rho": -0.0361, "theo": 10.5434, "change": 1.24, "open": 12.14, "high": 12.14, "low": 12.14, "tick": "no_change", "last_trade_price": 12.14, "last_trade_time": "2026-08-03T09:48:57", "percent_change": 11.3761, "prev_day_close": 10.9000000953674}, {"option": "DRAM260911C00059000", "bid": 2.79, "bid_size": 694.0, "ask": 3.9, "ask_size": 629.0, "iv": 0.9123, "open_interest": 2.0, "volume": 0.0, "delta": 0.3801, "gamma": 0.0242, "vega": 0.0635, "theta": -0.0761, "rho": 0.0178, "theo": 3.4909, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.03, "last_trade_time": "2026-07-31T14:25:36", "percent_change": 0.0, "prev_day_close": 3.90000009536743}, {"option": "DRAM260911P00059000", "bid": 10.6, "bid_size": 235.0, "ask": 12.15, "ask_size": 324.0, "iv": 0.9538, "open_interest": 0.0, "volume": 0.0, "delta": -0.6207, "gamma": 0.0244, "vega": 0.0634, "theta": -0.076, "rho": -0.0376, "theo": 11.2579, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 11.5}, {"option": "DRAM260911C00060000", "bid": 2.96, "bid_size": 360.0, "ask": 3.55, "ask_size": 360.0, "iv": 0.9392, "open_interest": 44.0, "volume": 150.0, "delta": 0.3594, "gamma": 0.0238, "vega": 0.0623, "theta": -0.0746, "rho": 0.0169, "theo": 3.2274, "change": -0.14, "open": 2.87, "high": 3.21, "low": 2.71, "tick": "up", "last_trade_price": 3.21, "last_trade_time": "2026-08-03T15:03:05", "percent_change": -4.1791, "prev_day_close": 3.34999990463257}, {"option": "DRAM260911P00060000", "bid": 11.45, "bid_size": 149.0, "ask": 12.35, "ask_size": 129.0, "iv": 0.9197, "open_interest": 12.0, "volume": 0.0, "delta": -0.6417, "gamma": 0.024, "vega": 0.0621, "theta": -0.0745, "rho": -0.0379, "theo": 11.9927, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.25, "last_trade_time": "2026-07-31T10:55:38", "percent_change": 0.0, "prev_day_close": 12.3499999046326}, {"option": "DRAM260911C00061000", "bid": 2.77, "bid_size": 188.0, "ask": 3.1, "ask_size": 2.0, "iv": 0.9264, "open_interest": 1.0, "volume": 2.0, "delta": 0.3393, "gamma": 0.0233, "vega": 0.061, "theta": -0.073, "rho": 0.016, "theo": 2.9825, "change": -0.61, "open": 2.42, "high": 2.59, "low": 2.42, "tick": "up", "last_trade_price": 2.59, "last_trade_time": "2026-08-03T10:37:09", "percent_change": -19.0625, "prev_day_close": 3.19999992847443}, {"option": "DRAM260911P00061000", "bid": 12.25, "bid_size": 117.0, "ask": 13.15, "ask_size": 125.0, "iv": 0.9266, "open_interest": 0.0, "volume": 1.0, "delta": -0.6619, "gamma": 0.0236, "vega": 0.0608, "theta": -0.0728, "rho": -0.0392, "theo": 12.7462, "change": -0.33, "open": 12.82, "high": 12.82, "low": 12.82, "tick": "down", "last_trade_price": 12.82, "last_trade_time": "2026-08-03T15:50:30", "percent_change": -2.50951, "prev_day_close": 13.1500000953674}, {"option": "DRAM260911C00062000", "bid": 2.57, "bid_size": 288.0, "ask": 2.99, "ask_size": 215.0, "iv": 0.9381, "open_interest": 2.0, "volume": 278.0, "delta": 0.3201, "gamma": 0.0228, "vega": 0.0596, "theta": -0.0713, "rho": 0.0151, "theo": 2.7552, "change": -0.19, "open": 2.4, "high": 2.95, "low": 2.4, "tick": "up", "last_trade_price": 2.9, "last_trade_time": "2026-08-03T15:54:42", "percent_change": -6.14886, "prev_day_close": 3.08999991416931}, {"option": "DRAM260911P00062000", "bid": 13.0, "bid_size": 130.0, "ask": 14.05, "ask_size": 158.0, "iv": 0.9353, "open_interest": 0.0, "volume": 0.0, "delta": -0.6813, "gamma": 0.023, "vega": 0.0594, "theta": -0.071, "rho": -0.0406, "theo": 13.5168, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 13.7249999046326}, {"option": "DRAM260911C00063000", "bid": 1.96, "bid_size": 638.0, "ask": 3.0, "ask_size": 700.0, "iv": 0.9226, "open_interest": 0.0, "volume": 0.0, "delta": 0.3017, "gamma": 0.0222, "vega": 0.0581, "theta": -0.0694, "rho": 0.0143, "theo": 2.5443, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.86000001430512}, {"option": "DRAM260911P00063000", "bid": 13.35, "bid_size": 233.0, "ask": 15.2, "ask_size": 244.0, "iv": 0.9287, "open_interest": 0.0, "volume": 0.0, "delta": -0.6999, "gamma": 0.0225, "vega": 0.0577, "theta": -0.069, "rho": -0.0408, "theo": 14.3042, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.3250002861023}, {"option": "DRAM260911C00064000", "bid": 2.01, "bid_size": 539.0, "ask": 2.71, "ask_size": 590.0, "iv": 0.9357, "open_interest": 0.0, "volume": 0.0, "delta": 0.2841, "gamma": 0.0216, "vega": 0.0565, "theta": -0.0674, "rho": 0.0135, "theo": 2.3488, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 2.7150000333786}, {"option": "DRAM260911P00064000", "bid": 14.65, "bid_size": 118.0, "ask": 15.5, "ask_size": 114.0, "iv": 0.9278, "open_interest": 0.0, "volume": 0.0, "delta": -0.7178, "gamma": 0.0219, "vega": 0.0561, "theta": -0.067, "rho": -0.0414, "theo": 15.1078, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.5499997138977}, {"option": "DRAM260911C00065000", "bid": 1.92, "bid_size": 420.0, "ask": 2.63, "ask_size": 842.0, "iv": 0.9533, "open_interest": 1.0, "volume": 13.0, "delta": 0.2672, "gamma": 0.021, "vega": 0.0548, "theta": -0.0654, "rho": 0.0128, "theo": 2.168, "change": -0.355, "open": 1.4, "high": 2.25, "low": 1.4, "tick": "up", "last_trade_price": 2.25, "last_trade_time": "2026-08-03T15:04:14", "percent_change": -13.6276, "prev_day_close": 2.60500001907349}, {"option": "DRAM260911P00065000", "bid": 15.2, "bid_size": 141.0, "ask": 16.5, "ask_size": 132.0, "iv": 0.9198, "open_interest": 2.0, "volume": 0.0, "delta": -0.7348, "gamma": 0.0212, "vega": 0.0545, "theta": -0.0649, "rho": -0.0424, "theo": 15.9256, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.56, "last_trade_time": "2026-07-31T15:59:19", "percent_change": 0.0, "prev_day_close": 16.2500004768372}, {"option": "DRAM260911C00066000", "bid": 1.68, "bid_size": 520.0, "ask": 2.3, "ask_size": 403.0, "iv": 0.932, "open_interest": 3.0, "volume": 10.0, "delta": 0.2512, "gamma": 0.0203, "vega": 0.0531, "theta": -0.0633, "rho": 0.012, "theo": 2.0008, "change": -0.26, "open": 1.68, "high": 2.1, "low": 1.68, "tick": "up", "last_trade_price": 2.1, "last_trade_time": "2026-08-03T15:12:44", "percent_change": -11.0169, "prev_day_close": 2.36000001430511}, {"option": "DRAM260911P00066000", "bid": 16.05, "bid_size": 99.0, "ask": 17.65, "ask_size": 163.0, "iv": 0.9517, "open_interest": 0.0, "volume": 0.0, "delta": -0.751, "gamma": 0.0206, "vega": 0.0527, "theta": -0.0628, "rho": -0.0431, "theo": 16.7568, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 16.9250001907349}, {"option": "DRAM260911C00067000", "bid": 1.47, "bid_size": 721.0, "ask": 2.17, "ask_size": 579.0, "iv": 0.9293, "open_interest": 1.0, "volume": 2.0, "delta": 0.236, "gamma": 0.0196, "vega": 0.0514, "theta": -0.0612, "rho": 0.0113, "theo": 1.8461, "change": -0.44, "open": 1.17, "high": 1.67, "low": 1.17, "tick": "up", "last_trade_price": 1.67, "last_trade_time": "2026-08-03T12:05:58", "percent_change": -20.8531, "prev_day_close": 2.11000001430511}, {"option": "DRAM260911P00067000", "bid": 16.9, "bid_size": 125.0, "ask": 18.5, "ask_size": 203.0, "iv": 0.9538, "open_interest": 0.0, "volume": 0.0, "delta": -0.7664, "gamma": 0.0199, "vega": 0.0507, "theta": -0.0606, "rho": -0.0429, "theo": 17.6017, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 17.6999998092651}, {"option": "DRAM260911C00068000", "bid": 1.31, "bid_size": 681.0, "ask": 2.04, "ask_size": 647.0, "iv": 0.9292, "open_interest": 10.0, "volume": 4.0, "delta": 0.2216, "gamma": 0.0189, "vega": 0.0495, "theta": -0.059, "rho": 0.0107, "theo": 1.7034, "change": -0.66, "open": 1.4, "high": 1.4, "low": 1.34, "tick": "down", "last_trade_price": 1.34, "last_trade_time": "2026-08-03T15:35:27", "percent_change": -33.0, "prev_day_close": 2.0}, {"option": "DRAM260911P00068000", "bid": 17.5, "bid_size": 102.0, "ask": 19.35, "ask_size": 148.0, "iv": 0.928, "open_interest": 0.0, "volume": 0.0, "delta": -0.7811, "gamma": 0.0192, "vega": 0.049, "theta": -0.0584, "rho": -0.0436, "theo": 18.4585, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.5250005722046}, {"option": "DRAM260911C00069000", "bid": 1.37, "bid_size": 414.0, "ask": 1.9, "ask_size": 639.0, "iv": 0.9488, "open_interest": 0.0, "volume": 0.0, "delta": 0.208, "gamma": 0.0182, "vega": 0.0477, "theta": -0.0568, "rho": 0.01, "theo": 1.5718, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 1.91500008106232}, {"option": "DRAM260911P00069000", "bid": 18.25, "bid_size": 77.0, "ask": 20.2, "ask_size": 90.0, "iv": 0.9138, "open_interest": 0.0, "volume": 0.0, "delta": -0.795, "gamma": 0.0185, "vega": 0.0471, "theta": -0.0562, "rho": -0.0444, "theo": 19.326, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.3999996185303}, {"option": "DRAM260911C00070000", "bid": 1.28, "bid_size": 331.0, "ask": 1.68, "ask_size": 284.0, "iv": 0.9427, "open_interest": 1.0, "volume": 57.0, "delta": 0.195, "gamma": 0.0175, "vega": 0.046, "theta": -0.0547, "rho": 0.0094, "theo": 1.4503, "change": -0.045, "open": 1.19, "high": 1.74, "low": 1.11, "tick": "up", "last_trade_price": 1.74, "last_trade_time": "2026-08-03T15:29:52", "percent_change": -2.52101, "prev_day_close": 1.7849999666214}, {"option": "DRAM260911P00070000", "bid": 19.5, "bid_size": 81.0, "ask": 20.7, "ask_size": 84.0, "iv": 0.9128, "open_interest": 0.0, "volume": 0.0, "delta": -0.8082, "gamma": 0.0178, "vega": 0.0452, "theta": -0.054, "rho": -0.044, "theo": 20.2038, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.3249998092651}, {"option": "DRAM260911C00071000", "bid": 1.02, "bid_size": 530.0, "ask": 1.56, "ask_size": 299.0, "iv": 0.926, "open_interest": 0.0, "volume": 2.0, "delta": 0.1829, "gamma": 0.0168, "vega": 0.0442, "theta": -0.0525, "rho": 0.0089, "theo": 1.3382, "change": -0.765, "open": 1.24, "high": 1.24, "low": 1.13, "tick": "down", "last_trade_price": 1.13, "last_trade_time": "2026-08-03T12:04:33", "percent_change": -40.3694, "prev_day_close": 1.89500004053116}, {"option": "DRAM260911P00071000", "bid": 20.35, "bid_size": 117.0, "ask": 21.8, "ask_size": 123.0, "iv": 0.9331, "open_interest": 0.0, "volume": 0.0, "delta": -0.8206, "gamma": 0.0172, "vega": 0.0433, "theta": -0.0517, "rho": -0.0438, "theo": 21.0919, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.2249994277954}, {"option": "DRAM260911C00072000", "bid": 0.86, "bid_size": 621.0, "ask": 1.6, "ask_size": 854.0, "iv": 0.9367, "open_interest": 0.0, "volume": 2.0, "delta": 0.1714, "gamma": 0.0161, "vega": 0.0424, "theta": -0.0504, "rho": 0.0083, "theo": 1.235, "change": -0.25, "open": 1.04, "high": 1.23, "low": 1.04, "tick": "up", "last_trade_price": 1.23, "last_trade_time": "2026-08-03T15:43:43", "percent_change": -16.8919, "prev_day_close": 1.48000001907349}, {"option": "DRAM260911P00072000", "bid": 21.2, "bid_size": 110.0, "ask": 22.8, "ask_size": 166.0, "iv": 0.9406, "open_interest": 0.0, "volume": 0.0, "delta": -0.8323, "gamma": 0.0165, "vega": 0.0415, "theta": -0.0496, "rho": -0.0442, "theo": 21.9887, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.125}, {"option": "DRAM260911C00073000", "bid": 1.02, "bid_size": 6.0, "ask": 1.49, "ask_size": 483.0, "iv": 0.9668, "open_interest": 0.0, "volume": 2.0, "delta": 0.1606, "gamma": 0.0154, "vega": 0.0406, "theta": -0.0483, "rho": 0.0078, "theo": 1.14, "change": -0.17, "open": 1.17, "high": 1.17, "low": 1.17, "tick": "down", "last_trade_price": 1.17, "last_trade_time": "2026-08-03T15:41:13", "percent_change": -12.6866, "prev_day_close": 1.33999997377396}, {"option": "DRAM260911P00073000", "bid": 21.9, "bid_size": 76.0, "ask": 23.65, "ask_size": 77.0, "iv": 0.908, "open_interest": 0.0, "volume": 0.0, "delta": -0.8434, "gamma": 0.0158, "vega": 0.0397, "theta": -0.0474, "rho": -0.0447, "theo": 22.8937, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 23.0500001907349}, {"option": "DRAM260911C00074000", "bid": 0.77, "bid_size": 566.0, "ask": 1.4, "ask_size": 785.0, "iv": 0.9483, "open_interest": 0.0, "volume": 0.0, "delta": 0.1504, "gamma": 0.0148, "vega": 0.0389, "theta": -0.0463, "rho": 0.0073, "theo": 1.0524, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 1.36500000953674}, {"option": "DRAM260911P00074000", "bid": 22.95, "bid_size": 122.0, "ask": 24.65, "ask_size": 202.0, "iv": 0.9383, "open_interest": 0.0, "volume": 0.0, "delta": -0.8538, "gamma": 0.0152, "vega": 0.0379, "theta": -0.0453, "rho": -0.0441, "theo": 23.806, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 23.8999996185303}, {"option": "DRAM260911C00075000", "bid": 0.86, "bid_size": 109.0, "ask": 1.05, "ask_size": 1.0, "iv": 0.9364, "open_interest": 9.0, "volume": 5.0, "delta": 0.1408, "gamma": 0.0141, "vega": 0.0372, "theta": -0.0443, "rho": 0.0069, "theo": 0.9718, "change": -0.405, "open": 0.7, "high": 0.7, "low": 0.7, "tick": "down", "last_trade_price": 0.7, "last_trade_time": "2026-08-03T10:45:45", "percent_change": -36.6516, "prev_day_close": 1.10500001907349}, {"option": "DRAM260911P00075000", "bid": 23.9, "bid_size": 113.0, "ask": 25.5, "ask_size": 187.0, "iv": 0.9337, "open_interest": 0.0, "volume": 0.0, "delta": -0.8636, "gamma": 0.0145, "vega": 0.036, "theta": -0.0432, "rho": -0.0438, "theo": 24.726, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 24.8250007629395}, {"option": "DRAM260918C00015000", "bid": 35.55, "bid_size": 682.0, "ask": 37.15, "ask_size": 697.0, "iv": 1.8083, "open_interest": 300.0, "volume": 0.0, "delta": 0.9973, "gamma": 0.0003, "vega": 0.0013, "theta": 0.0, "rho": 0.0194, "theo": 36.1905, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 35.0, "last_trade_time": "2026-07-31T11:55:09", "percent_change": 0.0, "prev_day_close": 35.9500007629394}, {"option": "DRAM260918P00015000", "bid": 0.0, "bid_size": 0.0, "ask": 0.1, "ask_size": 170.0, "iv": 1.5024, "open_interest": 93.0, "volume": 1.0, "delta": -0.0023, "gamma": 0.0003, "vega": 0.0013, "theta": -0.0018, "rho": -0.0002, "theo": 0.0181, "change": 0.0, "open": 0.05, "high": 0.05, "low": 0.05, "tick": "up", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T12:59:25", "percent_change": -1.49012e-06, "prev_day_close": 0.0500000007450581}, {"option": "DRAM260918C00017000", "bid": 33.25, "bid_size": 10.0, "ask": 35.25, "ask_size": 52.0, "iv": 1.4079, "open_interest": 4.0, "volume": 0.0, "delta": 0.9956, "gamma": 0.0005, "vega": 0.0021, "theta": 0.0, "rho": 0.0219, "theo": 34.2157, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.3, "last_trade_time": "2026-04-23T13:27:23", "percent_change": 0.0, "prev_day_close": 34.125}, {"option": "DRAM260918P00017000", "bid": 0.0, "bid_size": 0.0, "ask": 0.2, "ask_size": 1234.0, "iv": 1.4925, "open_interest": 318.0, "volume": 1.0, "delta": -0.004, "gamma": 0.0005, "vega": 0.0021, "theta": -0.0029, "rho": -0.0003, "theo": 0.0318, "change": 0.05, "open": 0.14, "high": 0.14, "low": 0.14, "tick": "up", "last_trade_price": 0.14, "last_trade_time": "2026-08-03T15:14:01", "percent_change": 55.5555, "prev_day_close": 0.0900000035762787}, {"option": "DRAM260918C00018000", "bid": 32.25, "bid_size": 10.0, "ask": 34.2, "ask_size": 37.0, "iv": 1.2357, "open_interest": 1.0, "volume": 0.0, "delta": 0.9945, "gamma": 0.0006, "vega": 0.0027, "theta": 0.0, "rho": 0.0231, "theo": 33.231, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 43.85, "last_trade_time": "2026-07-10T11:35:34", "percent_change": 0.0, "prev_day_close": 33.2749996185303}, {"option": "DRAM260918P00018000", "bid": 0.0, "bid_size": 0.0, "ask": 0.29, "ask_size": 1875.0, "iv": 1.504, "open_interest": 22.0, "volume": 4.0, "delta": -0.0052, "gamma": 0.0006, "vega": 0.0027, "theta": -0.0036, "rho": -0.0004, "theo": 0.0415, "change": -0.035, "open": 0.1, "high": 0.1, "low": 0.06, "tick": "down", "last_trade_price": 0.06, "last_trade_time": "2026-08-03T15:24:02", "percent_change": -36.8421, "prev_day_close": 0.0949999988079071}, {"option": "DRAM260918C00019000", "bid": 31.25, "bid_size": 10.0, "ask": 33.6, "ask_size": 65.0, "iv": 1.5493, "open_interest": 1.0, "volume": 0.0, "delta": 0.993, "gamma": 0.0008, "vega": 0.0034, "theta": 0.0, "rho": 0.0243, "theo": 32.2487, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 38.35, "last_trade_time": "2026-07-15T10:47:42", "percent_change": 0.0, "prev_day_close": 32.3500003814697}, {"option": "DRAM260918P00019000", "bid": 0.0, "bid_size": 0.0, "ask": 0.21, "ask_size": 1874.0, "iv": 1.3613, "open_interest": 29.0, "volume": 23.0, "delta": -0.0066, "gamma": 0.0008, "vega": 0.0034, "theta": -0.0044, "rho": -0.0005, "theo": 0.0535, "change": -0.03, "open": 0.03, "high": 0.05, "low": 0.03, "tick": "up", "last_trade_price": 0.05, "last_trade_time": "2026-08-03T13:57:50", "percent_change": -37.5, "prev_day_close": 0.0800000028684735}, {"option": "DRAM260918C00020000", "bid": 30.4, "bid_size": 12.0, "ask": 32.1, "ask_size": 23.0, "iv": 1.1647, "open_interest": 22.0, "volume": 12.0, "delta": 0.9913, "gamma": 0.001, "vega": 0.0041, "theta": -0.0002, "rho": 0.0255, "theo": 31.2692, "change": -1.87, "open": 29.02, "high": 29.28, "low": 29.02, "tick": "no_change", "last_trade_price": 29.28, "last_trade_time": "2026-08-03T10:17:11", "percent_change": -6.00321, "prev_day_close": 31.1499996185303}, {"option": "DRAM260918P00020000", "bid": 0.0, "bid_size": 0.0, "ask": 0.22, "ask_size": 2014.0, "iv": 1.3052, "open_interest": 127.0, "volume": 77.0, "delta": -0.0084, "gamma": 0.001, "vega": 0.0041, "theta": -0.0053, "rho": -0.0006, "theo": 0.0683, "change": -0.015, "open": 0.11, "high": 0.17, "low": 0.08, "tick": "no_change", "last_trade_price": 0.08, "last_trade_time": "2026-08-03T15:23:18", "percent_change": -15.7895, "prev_day_close": 0.094999996945262}, {"option": "DRAM260918C00021000", "bid": 29.35, "bid_size": 12.0, "ask": 31.4, "ask_size": 56.0, "iv": 1.3313, "open_interest": 20.0, "volume": 0.0, "delta": 0.9892, "gamma": 0.0013, "vega": 0.005, "theta": -0.0014, "rho": 0.0266, "theo": 30.293, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.0, "last_trade_time": "2026-07-31T09:54:58", "percent_change": 0.0, "prev_day_close": 30.2749996185303}, {"option": "DRAM260918P00021000", "bid": 0.01, "bid_size": 1025.0, "ask": 0.16, "ask_size": 882.0, "iv": 1.1957, "open_interest": 38.0, "volume": 1.0, "delta": -0.0105, "gamma": 0.0013, "vega": 0.005, "theta": -0.0064, "rho": -0.0008, "theo": 0.0864, "change": 0.005, "open": 0.14, "high": 0.14, "low": 0.14, "tick": "up", "last_trade_price": 0.14, "last_trade_time": "2026-08-03T12:39:59", "percent_change": 3.7037, "prev_day_close": 0.134999999776483}, {"option": "DRAM260918C00022000", "bid": 28.35, "bid_size": 18.0, "ask": 30.2, "ask_size": 42.0, "iv": 1.0899, "open_interest": 5.0, "volume": 18.0, "delta": 0.9867, "gamma": 0.0016, "vega": 0.006, "theta": -0.0028, "rho": 0.0278, "theo": 29.3206, "change": -1.34, "open": 28.13, "high": 28.16, "low": 28.06, "tick": "no_change", "last_trade_price": 28.06, "last_trade_time": "2026-08-03T11:51:30", "percent_change": -4.55783, "prev_day_close": 29.4000005722046}, {"option": "DRAM260918P00022000", "bid": 0.04, "bid_size": 992.0, "ask": 0.32, "ask_size": 1622.0, "iv": 1.2824, "open_interest": 28.0, "volume": 1.0, "delta": -0.013, "gamma": 0.0016, "vega": 0.006, "theta": -0.0076, "rho": -0.001, "theo": 0.1083, "change": 0.055, "open": 0.18, "high": 0.18, "low": 0.18, "tick": "down", "last_trade_price": 0.18, "last_trade_time": "2026-08-03T12:37:17", "percent_change": 44.0, "prev_day_close": 0.125}, {"option": "DRAM260918C00023000", "bid": 27.4, "bid_size": 23.0, "ask": 29.35, "ask_size": 75.0, "iv": 1.1933, "open_interest": 38.0, "volume": 0.0, "delta": 0.9837, "gamma": 0.0019, "vega": 0.0072, "theta": -0.0043, "rho": 0.0288, "theo": 28.3527, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 46.65, "last_trade_time": "2026-06-23T09:35:35", "percent_change": 0.0, "prev_day_close": 28.375}, {"option": "DRAM260918P00023000", "bid": 0.01, "bid_size": 1196.0, "ask": 0.35, "ask_size": 1889.0, "iv": 1.2214, "open_interest": 404.0, "volume": 0.0, "delta": -0.016, "gamma": 0.0019, "vega": 0.0072, "theta": -0.0089, "rho": -0.0012, "theo": 0.1347, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.18, "last_trade_time": "2026-07-31T14:48:40", "percent_change": 0.0, "prev_day_close": 0.125}, {"option": "DRAM260918C00024000", "bid": 26.3, "bid_size": 12.0, "ask": 28.25, "ask_size": 16.0, "iv": 0.9595, "open_interest": 10.0, "volume": 0.0, "delta": 0.9802, "gamma": 0.0023, "vega": 0.0085, "theta": -0.006, "rho": 0.0299, "theo": 27.3899, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 35.8, "last_trade_time": "2026-07-08T11:33:36", "percent_change": 0.0, "prev_day_close": 27.5500001907349}, {"option": "DRAM260918P00024000", "bid": 0.01, "bid_size": 1451.0, "ask": 0.29, "ask_size": 961.0, "iv": 1.1272, "open_interest": 99.0, "volume": 0.0, "delta": -0.0194, "gamma": 0.0023, "vega": 0.0086, "theta": -0.0104, "rho": -0.0014, "theo": 0.1663, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.25, "last_trade_time": "2026-07-31T15:58:40", "percent_change": 0.0, "prev_day_close": 0.25500001013279}, {"option": "DRAM260918C00025000", "bid": 25.5, "bid_size": 96.0, "ask": 27.2, "ask_size": 142.0, "iv": 1.0348, "open_interest": 29.0, "volume": 0.0, "delta": 0.9762, "gamma": 0.0027, "vega": 0.01, "theta": -0.0078, "rho": 0.0308, "theo": 26.433, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 26.3, "last_trade_time": "2026-07-31T12:12:02", "percent_change": 0.0, "prev_day_close": 26.6000003814697}, {"option": "DRAM260918P00025000", "bid": 0.14, "bid_size": 772.0, "ask": 0.46, "ask_size": 1997.0, "iv": 1.2186, "open_interest": 495.0, "volume": 56.0, "delta": -0.0235, "gamma": 0.0027, "vega": 0.0101, "theta": -0.0121, "rho": -0.0017, "theo": 0.2036, "change": -0.055, "open": 0.31, "high": 0.33, "low": 0.21, "tick": "down", "last_trade_price": 0.22, "last_trade_time": "2026-08-03T13:36:11", "percent_change": -20.0, "prev_day_close": 0.274999998509884}, {"option": "DRAM260918C00026000", "bid": 24.5, "bid_size": 73.0, "ask": 26.3, "ask_size": 128.0, "iv": 1.0372, "open_interest": 5.0, "volume": 0.0, "delta": 0.9715, "gamma": 0.0032, "vega": 0.0117, "theta": -0.0098, "rho": 0.0318, "theo": 25.4829, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.75, "last_trade_time": "2026-07-21T09:40:50", "percent_change": 0.0, "prev_day_close": 25.6750001907349}, {"option": "DRAM260918P00026000", "bid": 0.04, "bid_size": 2220.0, "ask": 0.5, "ask_size": 1831.0, "iv": 1.1362, "open_interest": 264.0, "volume": 11.0, "delta": -0.0282, "gamma": 0.0032, "vega": 0.0117, "theta": -0.0139, "rho": -0.0021, "theo": 0.2479, "change": -0.075, "open": 0.29, "high": 0.31, "low": 0.23, "tick": "down", "last_trade_price": 0.25, "last_trade_time": "2026-08-03T14:24:21", "percent_change": -23.0769, "prev_day_close": 0.325000002980232}, {"option": "DRAM260918C00027000", "bid": 23.55, "bid_size": 103.0, "ask": 25.35, "ask_size": 157.0, "iv": 1.0294, "open_interest": 49.0, "volume": 0.0, "delta": 0.9662, "gamma": 0.0037, "vega": 0.0135, "theta": -0.012, "rho": 0.0327, "theo": 24.5404, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 28.36, "last_trade_time": "2026-07-24T12:24:51", "percent_change": 0.0, "prev_day_close": 24.7250003814697}, {"option": "DRAM260918P00027000", "bid": 0.19, "bid_size": 942.0, "ask": 0.53, "ask_size": 1681.0, "iv": 1.1467, "open_interest": 131.0, "volume": 3.0, "delta": -0.0335, "gamma": 0.0037, "vega": 0.0136, "theta": -0.0159, "rho": -0.0025, "theo": 0.2997, "change": -0.22, "open": 0.42, "high": 0.42, "low": 0.15, "tick": "down", "last_trade_price": 0.15, "last_trade_time": "2026-08-03T12:14:10", "percent_change": -59.4595, "prev_day_close": 0.370000004768372}, {"option": "DRAM260918C00028000", "bid": 22.6, "bid_size": 219.0, "ask": 24.5, "ask_size": 203.0, "iv": 1.0524, "open_interest": 77.0, "volume": 0.0, "delta": 0.96, "gamma": 0.0043, "vega": 0.0155, "theta": -0.0143, "rho": 0.0335, "theo": 23.6066, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 29.7, "last_trade_time": "2026-07-13T15:27:53", "percent_change": 0.0, "prev_day_close": 23.8000001907349}, {"option": "DRAM260918P00028000", "bid": 0.34, "bid_size": 45.0, "ask": 0.38, "ask_size": 1.0, "iv": 1.0908, "open_interest": 904.0, "volume": 6.0, "delta": -0.0397, "gamma": 0.0043, "vega": 0.0155, "theta": -0.0181, "rho": -0.0029, "theo": 0.3603, "change": -0.095, "open": 0.37, "high": 0.37, "low": 0.37, "tick": "no_change", "last_trade_price": 0.37, "last_trade_time": "2026-08-03T15:02:58", "percent_change": -20.4301, "prev_day_close": 0.464999996125698}, {"option": "DRAM260918C00029000", "bid": 21.7, "bid_size": 97.0, "ask": 23.45, "ask_size": 155.0, "iv": 1.0129, "open_interest": 42.0, "volume": 0.0, "delta": 0.9531, "gamma": 0.005, "vega": 0.0177, "theta": -0.0168, "rho": 0.0342, "theo": 22.6823, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.79, "last_trade_time": "2026-07-17T11:07:38", "percent_change": 0.0, "prev_day_close": 22.875}, {"option": "DRAM260918P00029000", "bid": 0.38, "bid_size": 382.0, "ask": 0.73, "ask_size": 2081.0, "iv": 1.1454, "open_interest": 8097.0, "volume": 0.0, "delta": -0.0466, "gamma": 0.005, "vega": 0.0177, "theta": -0.0204, "rho": -0.0034, "theo": 0.4304, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.54, "last_trade_time": "2026-07-31T11:31:33", "percent_change": 0.0, "prev_day_close": 0.53999999165535}, {"option": "DRAM260918C00030000", "bid": 21.6, "bid_size": 34.0, "ask": 22.3, "ask_size": 605.0, "iv": 1.1522, "open_interest": 500.0, "volume": 27.0, "delta": 0.9453, "gamma": 0.0057, "vega": 0.02, "theta": -0.0194, "rho": 0.0349, "theo": 21.7687, "change": -0.31, "open": 19.24, "high": 21.49, "low": 19.24, "tick": "up", "last_trade_price": 21.49, "last_trade_time": "2026-08-03T13:28:54", "percent_change": -1.42202, "prev_day_close": 21.8000001907349}, {"option": "DRAM260918P00030000", "bid": 0.48, "bid_size": 52.0, "ask": 0.6, "ask_size": 802.0, "iv": 1.0814, "open_interest": 13120.0, "volume": 69.0, "delta": -0.0544, "gamma": 0.0057, "vega": 0.02, "theta": -0.0229, "rho": -0.004, "theo": 0.5113, "change": -0.095, "open": 0.72, "high": 0.72, "low": 0.55, "tick": "up", "last_trade_price": 0.56, "last_trade_time": "2026-08-03T13:40:01", "percent_change": -14.5038, "prev_day_close": 0.655000001192093}, {"option": "DRAM260918C00031000", "bid": 19.95, "bid_size": 75.0, "ask": 21.6, "ask_size": 134.0, "iv": 1.0134, "open_interest": 13.0, "volume": 0.0, "delta": 0.9366, "gamma": 0.0064, "vega": 0.0225, "theta": -0.0221, "rho": 0.0355, "theo": 20.867, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.5, "last_trade_time": "2026-07-30T11:12:19", "percent_change": 0.0, "prev_day_close": 21.0}, {"option": "DRAM260918P00031000", "bid": 0.55, "bid_size": 129.0, "ask": 0.86, "ask_size": 1464.0, "iv": 1.0999, "open_interest": 7186.0, "volume": 0.0, "delta": -0.0632, "gamma": 0.0064, "vega": 0.0225, "theta": -0.0255, "rho": -0.0046, "theo": 0.6041, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 0.68, "last_trade_time": "2026-07-31T09:38:21", "percent_change": 0.0, "prev_day_close": 0.675000011920929}, {"option": "DRAM260918C00032000", "bid": 19.4, "bid_size": 98.0, "ask": 20.65, "ask_size": 146.0, "iv": 1.0645, "open_interest": 41.0, "volume": 2.0, "delta": 0.927, "gamma": 0.0072, "vega": 0.0251, "theta": -0.025, "rho": 0.036, "theo": 19.9781, "change": -0.67, "open": 19.58, "high": 19.58, "low": 19.58, "tick": "no_change", "last_trade_price": 19.58, "last_trade_time": "2026-08-03T13:25:42", "percent_change": -3.30864, "prev_day_close": 20.25}, {"option": "DRAM260918P00032000", "bid": 0.5, "bid_size": 776.0, "ask": 0.9, "ask_size": 789.0, "iv": 1.042, "open_interest": 374.0, "volume": 2.0, "delta": -0.0728, "gamma": 0.0073, "vega": 0.0252, "theta": -0.0282, "rho": -0.0053, "theo": 0.7097, "change": -0.15, "open": 0.82, "high": 0.82, "low": 0.7, "tick": "down", "last_trade_price": 0.7, "last_trade_time": "2026-08-03T14:09:28", "percent_change": -17.6471, "prev_day_close": 0.850000023841858}, {"option": "DRAM260918C00033000", "bid": 18.1, "bid_size": 245.0, "ask": 19.85, "ask_size": 189.0, "iv": 0.9881, "open_interest": 69.0, "volume": 0.0, "delta": 0.9163, "gamma": 0.0081, "vega": 0.0278, "theta": -0.028, "rho": 0.0365, "theo": 19.1035, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.4, "last_trade_time": "2026-07-28T09:58:01", "percent_change": 0.0, "prev_day_close": 19.1000003814697}, {"option": "DRAM260918P00033000", "bid": 0.6, "bid_size": 812.0, "ask": 1.0, "ask_size": 720.0, "iv": 1.0253, "open_interest": 1035.0, "volume": 12.0, "delta": -0.0835, "gamma": 0.0081, "vega": 0.0279, "theta": -0.031, "rho": -0.0061, "theo": 0.8297, "change": -0.18, "open": 1.16, "high": 1.16, "low": 0.79, "tick": "down", "last_trade_price": 0.79, "last_trade_time": "2026-08-03T15:53:53", "percent_change": -18.5567, "prev_day_close": 0.969999969005585}, {"option": "DRAM260918C00034000", "bid": 17.6, "bid_size": 19.0, "ask": 18.85, "ask_size": 134.0, "iv": 1.0206, "open_interest": 21.0, "volume": 0.0, "delta": 0.9047, "gamma": 0.009, "vega": 0.0307, "theta": -0.0311, "rho": 0.0368, "theo": 18.2441, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.53, "last_trade_time": "2026-07-30T10:11:58", "percent_change": 0.0, "prev_day_close": 18.4750003814697}, {"option": "DRAM260918P00034000", "bid": 0.72, "bid_size": 1146.0, "ask": 1.09, "ask_size": 518.0, "iv": 1.0071, "open_interest": 5304.0, "volume": 863.0, "delta": -0.0952, "gamma": 0.0091, "vega": 0.0307, "theta": -0.034, "rho": -0.007, "theo": 0.9649, "change": -0.025, "open": 1.18, "high": 1.28, "low": 1.03, "tick": "down", "last_trade_price": 1.03, "last_trade_time": "2026-08-03T12:39:49", "percent_change": -2.36967, "prev_day_close": 1.05500000715256}, {"option": "DRAM260918C00035000", "bid": 17.2, "bid_size": 17.0, "ask": 17.8, "ask_size": 539.0, "iv": 1.0473, "open_interest": 516.0, "volume": 2.0, "delta": 0.892, "gamma": 0.01, "vega": 0.0336, "theta": -0.0342, "rho": 0.0371, "theo": 17.4012, "change": -0.525, "open": 15.5, "high": 17.0, "low": 15.5, "tick": "up", "last_trade_price": 17.0, "last_trade_time": "2026-08-03T13:16:25", "percent_change": -2.99572, "prev_day_close": 17.5249996185303}, {"option": "DRAM260918P00035000", "bid": 1.05, "bid_size": 48.0, "ask": 1.16, "ask_size": 94.0, "iv": 1.0147, "open_interest": 4693.0, "volume": 205.0, "delta": -0.108, "gamma": 0.01, "vega": 0.0337, "theta": -0.0369, "rho": -0.008, "theo": 1.1168, "change": -0.21, "open": 1.44, "high": 1.59, "low": 1.04, "tick": "up", "last_trade_price": 1.11, "last_trade_time": "2026-08-03T15:58:24", "percent_change": -15.9091, "prev_day_close": 1.31999999284744}, {"option": "DRAM260918C00036000", "bid": 16.0, "bid_size": 815.0, "ask": 17.0, "ask_size": 407.0, "iv": 0.989, "open_interest": 159.0, "volume": 3.0, "delta": 0.8782, "gamma": 0.011, "vega": 0.0366, "theta": -0.0373, "rho": 0.0372, "theo": 16.5761, "change": -0.625, "open": 16.2, "high": 16.2, "low": 16.2, "tick": "down", "last_trade_price": 16.2, "last_trade_time": "2026-08-03T13:20:40", "percent_change": -3.71471, "prev_day_close": 16.8249998092651}, {"option": "DRAM260918P00036000", "bid": 1.21, "bid_size": 126.0, "ask": 1.32, "ask_size": 13.0, "iv": 1.0042, "open_interest": 12674.0, "volume": 315.0, "delta": -0.1217, "gamma": 0.011, "vega": 0.0367, "theta": -0.04, "rho": -0.0089, "theo": 1.2864, "change": -0.17, "open": 1.77, "high": 1.79, "low": 1.26, "tick": "down", "last_trade_price": 1.26, "last_trade_time": "2026-08-03T15:55:00", "percent_change": -11.8881, "prev_day_close": 1.42999994754791}, {"option": "DRAM260918C00037000", "bid": 15.15, "bid_size": 969.0, "ask": 16.25, "ask_size": 544.0, "iv": 0.9846, "open_interest": 343.0, "volume": 0.0, "delta": 0.8635, "gamma": 0.012, "vega": 0.0397, "theta": -0.0405, "rho": 0.0373, "theo": 15.7698, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.7, "last_trade_time": "2026-07-29T14:00:31", "percent_change": 0.0, "prev_day_close": 16.0500001907349}, {"option": "DRAM260918P00037000", "bid": 1.24, "bid_size": 904.0, "ask": 1.7, "ask_size": 1119.0, "iv": 1.0011, "open_interest": 1794.0, "volume": 12.0, "delta": -0.1366, "gamma": 0.012, "vega": 0.0398, "theta": -0.043, "rho": -0.01, "theo": 1.4748, "change": -0.235, "open": 1.91, "high": 1.95, "low": 1.4, "tick": "up", "last_trade_price": 1.45, "last_trade_time": "2026-08-03T15:36:14", "percent_change": -13.9466, "prev_day_close": 1.68500000238419}, {"option": "DRAM260918C00038000", "bid": 14.45, "bid_size": 738.0, "ask": 15.5, "ask_size": 470.0, "iv": 0.9931, "open_interest": 118.0, "volume": 0.0, "delta": 0.8477, "gamma": 0.013, "vega": 0.0428, "theta": -0.0436, "rho": 0.0373, "theo": 14.9835, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.47, "last_trade_time": "2026-07-30T10:04:31", "percent_change": 0.0, "prev_day_close": 15.3250002861023}, {"option": "DRAM260918P00038000", "bid": 1.38, "bid_size": 1206.0, "ask": 1.89, "ask_size": 874.0, "iv": 0.9837, "open_interest": 328.0, "volume": 53.0, "delta": -0.1524, "gamma": 0.013, "vega": 0.0428, "theta": -0.046, "rho": -0.0112, "theo": 1.6835, "change": -0.28, "open": 2.32, "high": 2.32, "low": 1.62, "tick": "down", "last_trade_price": 1.62, "last_trade_time": "2026-08-03T14:02:23", "percent_change": -14.7368, "prev_day_close": 1.89999997615814}, {"option": "DRAM260918C00039000", "bid": 13.45, "bid_size": 1291.0, "ask": 14.75, "ask_size": 653.0, "iv": 0.9622, "open_interest": 646.0, "volume": 1.0, "delta": 0.8309, "gamma": 0.014, "vega": 0.0458, "theta": -0.0468, "rho": 0.0372, "theo": 14.2181, "change": -0.775, "open": 13.75, "high": 13.75, "low": 13.75, "tick": "up", "last_trade_price": 13.75, "last_trade_time": "2026-08-03T11:05:14", "percent_change": -5.33563, "prev_day_close": 14.5250000953674}, {"option": "DRAM260918P00039000", "bid": 1.7, "bid_size": 561.0, "ask": 2.02, "ask_size": 282.0, "iv": 0.9767, "open_interest": 1163.0, "volume": 266.0, "delta": -0.1693, "gamma": 0.014, "vega": 0.0458, "theta": -0.0489, "rho": -0.0124, "theo": 1.9131, "change": -0.17, "open": 2.35, "high": 2.55, "low": 1.89, "tick": "down", "last_trade_price": 1.89, "last_trade_time": "2026-08-03T14:09:59", "percent_change": -8.25243, "prev_day_close": 2.06000000238419}, {"option": "DRAM260918C00040000", "bid": 13.25, "bid_size": 231.0, "ask": 14.15, "ask_size": 926.0, "iv": 1.0278, "open_interest": 7096.0, "volume": 46.0, "delta": 0.8131, "gamma": 0.015, "vega": 0.0488, "theta": -0.0498, "rho": 0.0369, "theo": 13.4746, "change": -0.055, "open": 11.8, "high": 13.59, "low": 11.75, "tick": "down", "last_trade_price": 13.52, "last_trade_time": "2026-08-03T15:59:13", "percent_change": -0.405159, "prev_day_close": 13.5750002861023}, {"option": "DRAM260918P00040000", "bid": 2.06, "bid_size": 182.0, "ask": 2.15, "ask_size": 1.0, "iv": 0.9697, "open_interest": 16865.0, "volume": 537.0, "delta": -0.1871, "gamma": 0.0151, "vega": 0.0488, "theta": -0.0518, "rho": -0.0138, "theo": 2.1647, "change": -0.25, "open": 2.66, "high": 2.87, "low": 2.06, "tick": "up", "last_trade_price": 2.12, "last_trade_time": "2026-08-03T15:58:24", "percent_change": -10.5485, "prev_day_close": 2.37000000476837}, {"option": "DRAM260918C00041000", "bid": 12.3, "bid_size": 814.0, "ask": 13.5, "ask_size": 765.0, "iv": 1.0042, "open_interest": 187.0, "volume": 3.0, "delta": 0.7944, "gamma": 0.016, "vega": 0.0516, "theta": -0.0527, "rho": 0.0366, "theo": 12.7542, "change": -2.125, "open": 11.19, "high": 11.19, "low": 11.0, "tick": "no_change", "last_trade_price": 11.0, "last_trade_time": "2026-08-03T10:02:50", "percent_change": -16.1905, "prev_day_close": 13.125}, {"option": "DRAM260918P00041000", "bid": 2.11, "bid_size": 1110.0, "ask": 2.71, "ask_size": 979.0, "iv": 0.9704, "open_interest": 490.0, "volume": 154.0, "delta": -0.2059, "gamma": 0.016, "vega": 0.0517, "theta": -0.0546, "rho": -0.0151, "theo": 2.4394, "change": -0.335, "open": 3.1, "high": 3.1, "low": 2.37, "tick": "up", "last_trade_price": 2.38, "last_trade_time": "2026-08-03T15:51:30", "percent_change": -12.3389, "prev_day_close": 2.7150000333786}, {"option": "DRAM260918C00042000", "bid": 11.5, "bid_size": 791.0, "ask": 12.55, "ask_size": 533.0, "iv": 0.9646, "open_interest": 605.0, "volume": 0.0, "delta": 0.7749, "gamma": 0.017, "vega": 0.0544, "theta": -0.0555, "rho": 0.0362, "theo": 12.0572, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 11.9, "last_trade_time": "2026-07-30T10:57:56", "percent_change": 0.0, "prev_day_close": 12.4749999046326}, {"option": "DRAM260918P00042000", "bid": 2.37, "bid_size": 897.0, "ask": 2.87, "ask_size": 416.0, "iv": 0.9489, "open_interest": 412.0, "volume": 22.0, "delta": -0.2255, "gamma": 0.017, "vega": 0.0545, "theta": -0.0572, "rho": -0.0166, "theo": 2.7375, "change": -0.295, "open": 3.42, "high": 3.55, "low": 2.57, "tick": "down", "last_trade_price": 2.57, "last_trade_time": "2026-08-03T13:52:19", "percent_change": -10.2967, "prev_day_close": 2.86500000953674}, {"option": "DRAM260918C00043000", "bid": 10.8, "bid_size": 859.0, "ask": 12.0, "ask_size": 583.0, "iv": 0.9682, "open_interest": 128.0, "volume": 3.0, "delta": 0.7547, "gamma": 0.0179, "vega": 0.0571, "theta": -0.0581, "rho": 0.0357, "theo": 11.3844, "change": -1.35, "open": 9.8, "high": 10.5, "low": 9.8, "tick": "up", "last_trade_price": 10.5, "last_trade_time": "2026-08-03T10:25:38", "percent_change": -11.3924, "prev_day_close": 11.8499999046326}, {"option": "DRAM260918P00043000", "bid": 2.9, "bid_size": 397.0, "ask": 3.1, "ask_size": 19.0, "iv": 0.9548, "open_interest": 378.0, "volume": 93.0, "delta": -0.2458, "gamma": 0.018, "vega": 0.0572, "theta": -0.0597, "rho": -0.0181, "theo": 3.0604, "change": -0.55, "open": 3.8, "high": 3.9, "low": 2.8, "tick": "up", "last_trade_price": 2.85, "last_trade_time": "2026-08-03T15:55:23", "percent_change": -16.1765, "prev_day_close": 3.40000009536743}, {"option": "DRAM260918C00044000", "bid": 10.35, "bid_size": 974.0, "ask": 11.05, "ask_size": 495.0, "iv": 0.9545, "open_interest": 3646.0, "volume": 37.0, "delta": 0.7337, "gamma": 0.0187, "vega": 0.0596, "theta": -0.0606, "rho": 0.0352, "theo": 10.7367, "change": -0.2, "open": 9.0, "high": 10.7, "low": 9.0, "tick": "up", "last_trade_price": 10.7, "last_trade_time": "2026-08-03T14:28:51", "percent_change": -1.83486, "prev_day_close": 10.9000000953674}, {"option": "DRAM260918P00044000", "bid": 3.15, "bid_size": 776.0, "ask": 3.6, "ask_size": 675.0, "iv": 0.9551, "open_interest": 340.0, "volume": 31.0, "delta": -0.2669, "gamma": 0.0188, "vega": 0.0597, "theta": -0.062, "rho": -0.0195, "theo": 3.408, "change": -0.25, "open": 4.25, "high": 4.27, "low": 3.45, "tick": "down", "last_trade_price": 3.45, "last_trade_time": "2026-08-03T15:17:01", "percent_change": -6.75676, "prev_day_close": 3.70000004768372}, {"option": "DRAM260918C00045000", "bid": 9.85, "bid_size": 427.0, "ask": 10.9, "ask_size": 901.0, "iv": 0.9984, "open_interest": 6162.0, "volume": 21.0, "delta": 0.7121, "gamma": 0.0196, "vega": 0.0619, "theta": -0.0628, "rho": 0.0345, "theo": 10.114, "change": -0.2, "open": 8.4, "high": 10.05, "low": 8.4, "tick": "up", "last_trade_price": 10.05, "last_trade_time": "2026-08-03T13:52:45", "percent_change": -1.95122, "prev_day_close": 10.25}, {"option": "DRAM260918P00045000", "bid": 3.65, "bid_size": 199.0, "ask": 3.85, "ask_size": 80.0, "iv": 0.9513, "open_interest": 12964.0, "volume": 356.0, "delta": -0.2886, "gamma": 0.0197, "vega": 0.062, "theta": -0.0642, "rho": -0.0212, "theo": 3.7808, "change": -0.39, "open": 4.6, "high": 4.84, "low": 3.65, "tick": "no_change", "last_trade_price": 3.71, "last_trade_time": "2026-08-03T15:57:13", "percent_change": -9.51219, "prev_day_close": 4.09999990463257}, {"option": "DRAM260918C00046000", "bid": 8.95, "bid_size": 1192.0, "ask": 9.9, "ask_size": 588.0, "iv": 0.9378, "open_interest": 764.0, "volume": 1.0, "delta": 0.6901, "gamma": 0.0203, "vega": 0.064, "theta": -0.0648, "rho": 0.0338, "theo": 9.5169, "change": -2.175, "open": 7.55, "high": 7.55, "low": 7.55, "tick": "down", "last_trade_price": 7.55, "last_trade_time": "2026-08-03T09:34:12", "percent_change": -22.365, "prev_day_close": 9.72499990463257}, {"option": "DRAM260918P00046000", "bid": 3.9, "bid_size": 460.0, "ask": 4.35, "ask_size": 406.0, "iv": 0.9437, "open_interest": 4406.0, "volume": 113.0, "delta": -0.3108, "gamma": 0.0204, "vega": 0.0641, "theta": -0.0661, "rho": -0.0228, "theo": 4.1797, "change": -0.575, "open": 5.08, "high": 5.08, "low": 3.95, "tick": "down", "last_trade_price": 3.95, "last_trade_time": "2026-08-03T15:19:30", "percent_change": -12.7072, "prev_day_close": 4.52499985694885}, {"option": "DRAM260918C00047000", "bid": 8.5, "bid_size": 614.0, "ask": 9.6, "ask_size": 789.0, "iv": 0.9643, "open_interest": 4649.0, "volume": 23.0, "delta": 0.6676, "gamma": 0.021, "vega": 0.0659, "theta": -0.0667, "rho": 0.0331, "theo": 8.9456, "change": -0.85, "open": 7.21, "high": 8.4, "low": 7.21, "tick": "up", "last_trade_price": 8.4, "last_trade_time": "2026-08-03T12:59:49", "percent_change": -9.18919, "prev_day_close": 9.25}, {"option": "DRAM260918P00047000", "bid": 4.35, "bid_size": 358.0, "ask": 4.8, "ask_size": 547.0, "iv": 0.9441, "open_interest": 1154.0, "volume": 20.0, "delta": -0.3334, "gamma": 0.0211, "vega": 0.066, "theta": -0.0677, "rho": -0.0243, "theo": 4.6042, "change": -0.3, "open": 5.58, "high": 5.58, "low": 4.6, "tick": "no_change", "last_trade_price": 4.6, "last_trade_time": "2026-08-03T13:40:07", "percent_change": -6.12245, "prev_day_close": 4.89999985694885}, {"option": "DRAM260918C00048000", "bid": 8.1, "bid_size": 495.0, "ask": 9.1, "ask_size": 866.0, "iv": 0.9747, "open_interest": 544.0, "volume": 7.0, "delta": 0.6448, "gamma": 0.0216, "vega": 0.0676, "theta": -0.0682, "rho": 0.0322, "theo": 8.3998, "change": -0.87, "open": 6.9, "high": 7.78, "low": 6.9, "tick": "up", "last_trade_price": 7.78, "last_trade_time": "2026-08-03T12:14:53", "percent_change": -10.0578, "prev_day_close": 8.65000009536743}, {"option": "DRAM260918P00048000", "bid": 4.75, "bid_size": 595.0, "ask": 5.3, "ask_size": 561.0, "iv": 0.9407, "open_interest": 3147.0, "volume": 449.0, "delta": -0.3563, "gamma": 0.0217, "vega": 0.0677, "theta": -0.0692, "rho": -0.026, "theo": 5.0544, "change": -0.345, "open": 6.22, "high": 6.22, "low": 5.0, "tick": "up", "last_trade_price": 5.08, "last_trade_time": "2026-08-03T15:55:00", "percent_change": -6.35945, "prev_day_close": 5.42499995231628}, {"option": "DRAM260918C00049000", "bid": 7.35, "bid_size": 1213.0, "ask": 8.15, "ask_size": 456.0, "iv": 0.9232, "open_interest": 221.0, "volume": 32.0, "delta": 0.6218, "gamma": 0.0221, "vega": 0.069, "theta": -0.0696, "rho": 0.0314, "theo": 7.8797, "change": -0.8, "open": 6.4, "high": 7.95, "low": 6.38, "tick": "up", "last_trade_price": 7.4, "last_trade_time": "2026-08-03T12:43:44", "percent_change": -9.7561, "prev_day_close": 8.19999980926514}, {"option": "DRAM260918P00049000", "bid": 5.1, "bid_size": 1210.0, "ask": 5.75, "ask_size": 645.0, "iv": 0.9267, "open_interest": 1026.0, "volume": 197.0, "delta": -0.3794, "gamma": 0.0223, "vega": 0.0691, "theta": -0.0704, "rho": -0.0277, "theo": 5.5306, "change": -0.275, "open": 6.49, "high": 6.79, "low": 5.5, "tick": "down", "last_trade_price": 5.5, "last_trade_time": "2026-08-03T14:05:44", "percent_change": -4.7619, "prev_day_close": 5.77499985694885}, {"option": "DRAM260918C00050000", "bid": 7.2, "bid_size": 437.0, "ask": 7.55, "ask_size": 353.0, "iv": 0.9377, "open_interest": 14726.0, "volume": 537.0, "delta": 0.5987, "gamma": 0.0226, "vega": 0.0702, "theta": -0.0706, "rho": 0.0304, "theo": 7.3851, "change": -0.125, "open": 6.5, "high": 7.7, "low": 5.75, "tick": "down", "last_trade_price": 7.35, "last_trade_time": "2026-08-03T15:56:21", "percent_change": -1.67224, "prev_day_close": 7.47500014305115}, {"option": "DRAM260918P00050000", "bid": 5.9, "bid_size": 145.0, "ask": 6.1, "ask_size": 11.0, "iv": 0.9346, "open_interest": 16119.0, "volume": 273.0, "delta": -0.4027, "gamma": 0.0227, "vega": 0.0702, "theta": -0.0713, "rho": -0.0292, "theo": 6.0324, "change": -0.45, "open": 7.3, "high": 7.65, "low": 5.92, "tick": "up", "last_trade_price": 6.0, "last_trade_time": "2026-08-03T15:56:53", "percent_change": -6.97674, "prev_day_close": 6.45000004768372}, {"option": "DRAM260918C00051000", "bid": 6.75, "bid_size": 331.0, "ask": 7.05, "ask_size": 155.0, "iv": 0.9345, "open_interest": 1373.0, "volume": 53.0, "delta": 0.5756, "gamma": 0.0229, "vega": 0.0711, "theta": -0.0714, "rho": 0.0295, "theo": 6.9153, "change": -0.025, "open": 5.9, "high": 7.25, "low": 5.15, "tick": "up", "last_trade_price": 7.15, "last_trade_time": "2026-08-03T15:51:50", "percent_change": -0.348435, "prev_day_close": 7.17500019073486}, {"option": "DRAM260918P00051000", "bid": 6.4, "bid_size": 172.0, "ask": 6.8, "ask_size": 755.0, "iv": 0.9424, "open_interest": 2051.0, "volume": 3.0, "delta": -0.4259, "gamma": 0.0231, "vega": 0.0711, "theta": -0.072, "rho": -0.031, "theo": 6.5591, "change": -0.18, "open": 7.25, "high": 7.25, "low": 6.62, "tick": "down", "last_trade_price": 6.62, "last_trade_time": "2026-08-03T14:45:25", "percent_change": -2.64706, "prev_day_close": 6.79999995231628}, {"option": "DRAM260918C00052000", "bid": 6.35, "bid_size": 162.0, "ask": 6.7, "ask_size": 502.0, "iv": 0.942, "open_interest": 630.0, "volume": 198.0, "delta": 0.5526, "gamma": 0.0232, "vega": 0.0718, "theta": -0.072, "rho": 0.0285, "theo": 6.4703, "change": -0.075, "open": 5.32, "high": 6.6, "low": 4.8, "tick": "up", "last_trade_price": 6.55, "last_trade_time": "2026-08-03T15:58:43", "percent_change": -1.13208, "prev_day_close": 6.625}, {"option": "DRAM260918P00052000", "bid": 6.9, "bid_size": 329.0, "ask": 7.2, "ask_size": 8.0, "iv": 0.9259, "open_interest": 4424.0, "volume": 113.0, "delta": -0.4491, "gamma": 0.0234, "vega": 0.0718, "theta": -0.0725, "rho": -0.0325, "theo": 7.1108, "change": -0.49, "open": 8.25, "high": 8.61, "low": 6.75, "tick": "up", "last_trade_price": 7.01, "last_trade_time": "2026-08-03T15:48:59", "percent_change": -6.53333, "prev_day_close": 7.5}, {"option": "DRAM260918C00053000", "bid": 5.8, "bid_size": 426.0, "ask": 6.4, "ask_size": 666.0, "iv": 0.9394, "open_interest": 4756.0, "volume": 19.0, "delta": 0.5298, "gamma": 0.0234, "vega": 0.0722, "theta": -0.0724, "rho": 0.0276, "theo": 6.0495, "change": -0.405, "open": 4.9, "high": 5.98, "low": 4.9, "tick": "no_change", "last_trade_price": 5.97, "last_trade_time": "2026-08-03T15:56:44", "percent_change": -6.35294, "prev_day_close": 6.375}, {"option": "DRAM260918P00053000", "bid": 7.35, "bid_size": 509.0, "ask": 7.8, "ask_size": 45.0, "iv": 0.9169, "open_interest": 1240.0, "volume": 179.0, "delta": -0.4721, "gamma": 0.0236, "vega": 0.0722, "theta": -0.0727, "rho": -0.0339, "theo": 7.6869, "change": -0.355, "open": 9.3, "high": 9.3, "low": 7.57, "tick": "down", "last_trade_price": 7.57, "last_trade_time": "2026-08-03T15:51:14", "percent_change": -4.4795, "prev_day_close": 7.92500019073486}, {"option": "DRAM260918C00054000", "bid": 5.55, "bid_size": 73.0, "ask": 5.9, "ask_size": 593.0, "iv": 0.9407, "open_interest": 5260.0, "volume": 191.0, "delta": 0.5072, "gamma": 0.0235, "vega": 0.0724, "theta": -0.0725, "rho": 0.0266, "theo": 5.6519, "change": -0.18, "open": 4.65, "high": 5.73, "low": 4.65, "tick": "down", "last_trade_price": 5.72, "last_trade_time": "2026-08-03T15:58:43", "percent_change": -3.05085, "prev_day_close": 5.89999985694885}, {"option": "DRAM260918P00054000", "bid": 8.05, "bid_size": 362.0, "ask": 8.55, "ask_size": 411.0, "iv": 0.9325, "open_interest": 4223.0, "volume": 45.0, "delta": -0.4949, "gamma": 0.0237, "vega": 0.0723, "theta": -0.0727, "rho": -0.0357, "theo": 8.2862, "change": -0.08, "open": 9.02, "high": 9.02, "low": 8.52, "tick": "down", "last_trade_price": 8.52, "last_trade_time": "2026-08-03T13:38:46", "percent_change": -0.930237, "prev_day_close": 8.60000038146973}, {"option": "DRAM260918C00055000", "bid": 5.15, "bid_size": 267.0, "ask": 5.35, "ask_size": 5.0, "iv": 0.9253, "open_interest": 14954.0, "volume": 1866.0, "delta": 0.485, "gamma": 0.0235, "vega": 0.0723, "theta": -0.0724, "rho": 0.0255, "theo": 5.2771, "change": -0.15, "open": 4.1, "high": 5.5, "low": 3.95, "tick": "down", "last_trade_price": 5.3, "last_trade_time": "2026-08-03T15:56:56", "percent_change": -2.75229, "prev_day_close": 5.45000004768372}, {"option": "DRAM260918P00055000", "bid": 8.6, "bid_size": 486.0, "ask": 9.05, "ask_size": 88.0, "iv": 0.9175, "open_interest": 2226.0, "volume": 71.0, "delta": -0.5173, "gamma": 0.0237, "vega": 0.0722, "theta": -0.0724, "rho": -0.0372, "theo": 8.9087, "change": -0.325, "open": 10.3, "high": 10.73, "low": 8.7, "tick": "up", "last_trade_price": 9.0, "last_trade_time": "2026-08-03T15:27:39", "percent_change": -3.48526, "prev_day_close": 9.3250002861023}, {"option": "DRAM260918C00056000", "bid": 4.65, "bid_size": 739.0, "ask": 5.15, "ask_size": 564.0, "iv": 0.9243, "open_interest": 770.0, "volume": 33.0, "delta": 0.4631, "gamma": 0.0235, "vega": 0.0721, "theta": -0.072, "rho": 0.0245, "theo": 4.9245, "change": -0.305, "open": 4.12, "high": 4.97, "low": 4.0, "tick": "up", "last_trade_price": 4.87, "last_trade_time": "2026-08-03T15:27:50", "percent_change": -5.89372, "prev_day_close": 5.17499995231628}, {"option": "DRAM260918P00056000", "bid": 9.45, "bid_size": 1.0, "ask": 9.85, "ask_size": 413.0, "iv": 0.9411, "open_interest": 177.0, "volume": 7.0, "delta": -0.5394, "gamma": 0.0237, "vega": 0.0719, "theta": -0.072, "rho": -0.0382, "theo": 9.5536, "change": -0.345, "open": 11.25, "high": 11.25, "low": 9.48, "tick": "down", "last_trade_price": 9.48, "last_trade_time": "2026-08-03T15:07:52", "percent_change": -3.51145, "prev_day_close": 9.8250002861023}, {"option": "DRAM260918C00057000", "bid": 4.5, "bid_size": 131.0, "ask": 5.35, "ask_size": 1404.0, "iv": 0.9729, "open_interest": 4065.0, "volume": 19.0, "delta": 0.4418, "gamma": 0.0234, "vega": 0.0716, "theta": -0.0715, "rho": 0.0235, "theo": 4.5929, "change": -0.17, "open": 3.6, "high": 4.74, "low": 3.6, "tick": "up", "last_trade_price": 4.63, "last_trade_time": "2026-08-03T15:58:40", "percent_change": -3.54167, "prev_day_close": 4.79999995231628}, {"option": "DRAM260918P00057000", "bid": 9.7, "bid_size": 928.0, "ask": 10.5, "ask_size": 332.0, "iv": 0.9099, "open_interest": 4370.0, "volume": 18.0, "delta": -0.5609, "gamma": 0.0236, "vega": 0.0715, "theta": -0.0713, "rho": -0.0402, "theo": 10.2195, "change": -0.65, "open": 11.8, "high": 11.8, "low": 10.05, "tick": "down", "last_trade_price": 10.05, "last_trade_time": "2026-08-03T14:04:36", "percent_change": -6.07477, "prev_day_close": 10.7000002861023}, {"option": "DRAM260918C00058000", "bid": 3.75, "bid_size": 1360.0, "ask": 4.8, "ask_size": 1445.0, "iv": 0.9248, "open_interest": 5436.0, "volume": 178.0, "delta": 0.4209, "gamma": 0.0232, "vega": 0.0709, "theta": -0.0708, "rho": 0.0225, "theo": 4.2817, "change": -0.275, "open": 3.57, "high": 4.6, "low": 3.5, "tick": "no_change", "last_trade_price": 4.25, "last_trade_time": "2026-08-03T14:31:29", "percent_change": -6.07735, "prev_day_close": 4.52500009536743}, {"option": "DRAM260918P00058000", "bid": 10.5, "bid_size": 520.0, "ask": 11.25, "ask_size": 470.0, "iv": 0.9213, "open_interest": 1007.0, "volume": 6.0, "delta": -0.582, "gamma": 0.0234, "vega": 0.0708, "theta": -0.0705, "rho": -0.0415, "theo": 10.9061, "change": 0.43, "open": 12.94, "high": 12.94, "low": 11.73, "tick": "down", "last_trade_price": 11.73, "last_trade_time": "2026-08-03T12:02:08", "percent_change": 3.80531, "prev_day_close": 11.2999997138977}, {"option": "DRAM260918C00059000", "bid": 3.6, "bid_size": 1231.0, "ask": 4.3, "ask_size": 1038.0, "iv": 0.9193, "open_interest": 789.0, "volume": 8.0, "delta": 0.4007, "gamma": 0.0229, "vega": 0.0701, "theta": -0.0699, "rho": 0.0215, "theo": 3.9901, "change": -0.1, "open": 3.3, "high": 4.1, "low": 3.3, "tick": "no_change", "last_trade_price": 4.1, "last_trade_time": "2026-08-03T15:06:08", "percent_change": -2.38095, "prev_day_close": 4.20000004768372}, {"option": "DRAM260918P00059000", "bid": 11.2, "bid_size": 472.0, "ask": 12.0, "ask_size": 507.0, "iv": 0.9232, "open_interest": 2323.0, "volume": 2.0, "delta": -0.6024, "gamma": 0.0232, "vega": 0.0698, "theta": -0.0695, "rho": -0.0421, "theo": 11.6126, "change": -0.55, "open": 11.8, "high": 11.8, "low": 11.5, "tick": "down", "last_trade_price": 11.5, "last_trade_time": "2026-08-03T14:04:47", "percent_change": -4.56431, "prev_day_close": 12.0499997138977}, {"option": "DRAM260918C00060000", "bid": 3.7, "bid_size": 3.0, "ask": 3.85, "ask_size": 291.0, "iv": 0.9328, "open_interest": 23657.0, "volume": 1923.0, "delta": 0.381, "gamma": 0.0226, "vega": 0.0691, "theta": -0.0689, "rho": 0.0206, "theo": 3.7171, "change": -0.3, "open": 3.4, "high": 3.95, "low": 2.9, "tick": "down", "last_trade_price": 3.7, "last_trade_time": "2026-08-03T15:59:23", "percent_change": -7.5, "prev_day_close": 3.99999988079071}, {"option": "DRAM260918P00060000", "bid": 12.2, "bid_size": 47.0, "ask": 12.5, "ask_size": 93.0, "iv": 0.9298, "open_interest": 7315.0, "volume": 169.0, "delta": -0.6224, "gamma": 0.0229, "vega": 0.0688, "theta": -0.0683, "rho": -0.0436, "theo": 12.3379, "change": -0.5, "open": 14.12, "high": 14.74, "low": 12.25, "tick": "no_change", "last_trade_price": 12.3, "last_trade_time": "2026-08-03T15:59:37", "percent_change": -3.90625, "prev_day_close": 12.8000001907349}, {"option": "DRAM260918C00061000", "bid": 2.87, "bid_size": 1492.0, "ask": 3.75, "ask_size": 999.0, "iv": 0.9017, "open_interest": 933.0, "volume": 8.0, "delta": 0.362, "gamma": 0.0222, "vega": 0.068, "theta": -0.0678, "rho": 0.0196, "theo": 3.4615, "change": -0.475, "open": 2.96, "high": 3.63, "low": 2.96, "tick": "down", "last_trade_price": 3.45, "last_trade_time": "2026-08-03T14:41:15", "percent_change": -12.1019, "prev_day_close": 3.92500007152557}, {"option": "DRAM260918P00061000", "bid": 12.6, "bid_size": 616.0, "ask": 14.1, "ask_size": 758.0, "iv": 0.9638, "open_interest": 612.0, "volume": 16.0, "delta": -0.6416, "gamma": 0.0225, "vega": 0.0676, "theta": -0.0671, "rho": -0.045, "theo": 13.0807, "change": -0.45, "open": 14.05, "high": 14.05, "low": 13.0, "tick": "down", "last_trade_price": 13.0, "last_trade_time": "2026-08-03T14:20:10", "percent_change": -3.34572, "prev_day_close": 13.4499998092651}, {"option": "DRAM260918C00062000", "bid": 3.05, "bid_size": 507.0, "ask": 3.4, "ask_size": 579.0, "iv": 0.9242, "open_interest": 285.0, "volume": 173.0, "delta": 0.3436, "gamma": 0.0218, "vega": 0.0667, "theta": -0.0665, "rho": 0.0187, "theo": 3.2229, "change": -0.25, "open": 2.59, "high": 3.3, "low": 2.56, "tick": "no_change", "last_trade_price": 3.25, "last_trade_time": "2026-08-03T15:57:51", "percent_change": -7.14286, "prev_day_close": 3.5}, {"option": "DRAM260918P00062000", "bid": 13.4, "bid_size": 466.0, "ask": 14.45, "ask_size": 456.0, "iv": 0.9366, "open_interest": 240.0, "volume": 6.0, "delta": -0.6602, "gamma": 0.0221, "vega": 0.0663, "theta": -0.0657, "rho": -0.0457, "theo": 13.8405, "change": -0.42, "open": 14.1, "high": 14.15, "low": 13.88, "tick": "down", "last_trade_price": 13.88, "last_trade_time": "2026-08-03T15:37:40", "percent_change": -2.93706, "prev_day_close": 14.2999997138977}, {"option": "DRAM260918C00063000", "bid": 2.82, "bid_size": 671.0, "ask": 3.3, "ask_size": 996.0, "iv": 0.9329, "open_interest": 228.0, "volume": 19.0, "delta": 0.326, "gamma": 0.0214, "vega": 0.0653, "theta": -0.0651, "rho": 0.0178, "theo": 3.0003, "change": -0.225, "open": 2.63, "high": 3.05, "low": 2.63, "tick": "up", "last_trade_price": 3.05, "last_trade_time": "2026-08-03T15:41:22", "percent_change": -6.87023, "prev_day_close": 3.27499997615814}, {"option": "DRAM260918P00063000", "bid": 13.9, "bid_size": 745.0, "ask": 15.55, "ask_size": 693.0, "iv": 0.9404, "open_interest": 633.0, "volume": 3.0, "delta": -0.6781, "gamma": 0.0217, "vega": 0.0648, "theta": -0.0642, "rho": -0.0462, "theo": 14.6169, "change": -0.23, "open": 14.85, "high": 14.85, "low": 14.57, "tick": "down", "last_trade_price": 14.57, "last_trade_time": "2026-08-03T14:34:14", "percent_change": -1.55405, "prev_day_close": 14.7999997138977}, {"option": "DRAM260918C00064000", "bid": 2.63, "bid_size": 578.0, "ask": 3.2, "ask_size": 1372.0, "iv": 0.943, "open_interest": 255.0, "volume": 404.0, "delta": 0.309, "gamma": 0.0209, "vega": 0.0639, "theta": -0.0636, "rho": 0.017, "theo": 2.7926, "change": -0.555, "open": 2.4, "high": 2.69, "low": 2.4, "tick": "up", "last_trade_price": 2.69, "last_trade_time": "2026-08-03T14:02:13", "percent_change": -17.1032, "prev_day_close": 3.24500000476837}, {"option": "DRAM260918P00064000", "bid": 14.7, "bid_size": 732.0, "ask": 16.35, "ask_size": 672.0, "iv": 0.9423, "open_interest": 111.0, "volume": 3.0, "delta": -0.6954, "gamma": 0.0212, "vega": 0.0634, "theta": -0.0626, "rho": -0.0478, "theo": 15.4082, "change": 0.475, "open": 16.38, "high": 16.38, "low": 16.15, "tick": "down", "last_trade_price": 16.15, "last_trade_time": "2026-08-03T12:17:41", "percent_change": 3.0303, "prev_day_close": 15.6750001907349}, {"option": "DRAM260918C00065000", "bid": 2.5, "bid_size": 147.0, "ask": 2.87, "ask_size": 884.0, "iv": 0.9379, "open_interest": 12470.0, "volume": 903.0, "delta": 0.2927, "gamma": 0.0204, "vega": 0.0623, "theta": -0.0621, "rho": 0.0161, "theo": 2.599, "change": -0.17, "open": 2.29, "high": 2.72, "low": 2.0, "tick": "down", "last_trade_price": 2.62, "last_trade_time": "2026-08-03T15:57:51", "percent_change": -6.09319, "prev_day_close": 2.78999996185303}, {"option": "DRAM260918P00065000", "bid": 15.85, "bid_size": 440.0, "ask": 16.8, "ask_size": 528.0, "iv": 0.9421, "open_interest": 1895.0, "volume": 10.0, "delta": -0.7119, "gamma": 0.0207, "vega": 0.0618, "theta": -0.0609, "rho": -0.0485, "theo": 16.2137, "change": -0.325, "open": 18.72, "high": 18.72, "low": 16.45, "tick": "down", "last_trade_price": 16.45, "last_trade_time": "2026-08-03T15:27:39", "percent_change": -1.9374, "prev_day_close": 16.7749996185303}, {"option": "DRAM260918C00066000", "bid": 2.17, "bid_size": 864.0, "ask": 2.45, "ask_size": 10.0, "iv": 0.9063, "open_interest": 694.0, "volume": 81.0, "delta": 0.2771, "gamma": 0.0198, "vega": 0.0607, "theta": -0.0605, "rho": 0.0153, "theo": 2.4188, "change": -0.335, "open": 2.0, "high": 2.59, "low": 2.0, "tick": "down", "last_trade_price": 2.49, "last_trade_time": "2026-08-03T15:55:00", "percent_change": -11.8584, "prev_day_close": 2.82499992847443}, {"option": "DRAM260918P00066000", "bid": 16.5, "bid_size": 537.0, "ask": 17.9, "ask_size": 526.0, "iv": 0.9521, "open_interest": 98.0, "volume": 4.0, "delta": -0.7278, "gamma": 0.0202, "vega": 0.0599, "theta": -0.0592, "rho": -0.0484, "theo": 17.0327, "change": -0.255, "open": 17.9, "high": 18.42, "low": 17.27, "tick": "down", "last_trade_price": 17.27, "last_trade_time": "2026-08-03T15:37:40", "percent_change": -1.45507, "prev_day_close": 17.5250005722046}, {"option": "DRAM260918C00067000", "bid": 2.19, "bid_size": 13.0, "ask": 2.48, "ask_size": 818.0, "iv": 0.939, "open_interest": 883.0, "volume": 78.0, "delta": 0.2622, "gamma": 0.0193, "vega": 0.059, "theta": -0.0588, "rho": 0.0145, "theo": 2.2511, "change": -0.265, "open": 1.85, "high": 2.29, "low": 1.85, "tick": "down", "last_trade_price": 2.23, "last_trade_time": "2026-08-03T15:56:00", "percent_change": -10.6212, "prev_day_close": 2.49500000476837}, {"option": "DRAM260918P00067000", "bid": 17.05, "bid_size": 455.0, "ask": 18.25, "ask_size": 135.0, "iv": 0.8873, "open_interest": 52.0, "volume": 2.0, "delta": -0.743, "gamma": 0.0197, "vega": 0.0581, "theta": -0.0574, "rho": -0.049, "theo": 17.8651, "change": -0.01, "open": 19.67, "high": 19.67, "low": 18.04, "tick": "down", "last_trade_price": 18.04, "last_trade_time": "2026-08-03T14:07:36", "percent_change": -0.0554027, "prev_day_close": 18.0500001907349}, {"option": "DRAM260918C00068000", "bid": 1.94, "bid_size": 678.0, "ask": 2.34, "ask_size": 878.0, "iv": 0.9333, "open_interest": 650.0, "volume": 96.0, "delta": 0.248, "gamma": 0.0187, "vega": 0.0574, "theta": -0.0572, "rho": 0.0138, "theo": 2.0951, "change": -0.38, "open": 1.72, "high": 2.1, "low": 1.72, "tick": "up", "last_trade_price": 2.1, "last_trade_time": "2026-08-03T13:52:24", "percent_change": -15.3226, "prev_day_close": 2.48000001907349}, {"option": "DRAM260918P00068000", "bid": 18.15, "bid_size": 251.0, "ask": 19.6, "ask_size": 369.0, "iv": 0.9546, "open_interest": 123.0, "volume": 5.0, "delta": -0.7575, "gamma": 0.0191, "vega": 0.0566, "theta": -0.0556, "rho": -0.0504, "theo": 18.7087, "change": 0.105, "open": 20.58, "high": 20.58, "low": 19.23, "tick": "down", "last_trade_price": 19.23, "last_trade_time": "2026-08-03T13:19:03", "percent_change": 0.54902, "prev_day_close": 19.125}, {"option": "DRAM260918C00069000", "bid": 1.64, "bid_size": 1137.0, "ask": 2.17, "ask_size": 755.0, "iv": 0.9179, "open_interest": 704.0, "volume": 34.0, "delta": 0.2345, "gamma": 0.0181, "vega": 0.0556, "theta": -0.0554, "rho": 0.013, "theo": 1.95, "change": -0.27, "open": 1.77, "high": 1.93, "low": 1.77, "tick": "up", "last_trade_price": 1.93, "last_trade_time": "2026-08-03T13:39:42", "percent_change": -12.2727, "prev_day_close": 2.19999998807907}, {"option": "DRAM260918P00069000", "bid": 19.2, "bid_size": 289.0, "ask": 20.1, "ask_size": 297.0, "iv": 0.9418, "open_interest": 433.0, "volume": 0.0, "delta": -0.7713, "gamma": 0.0186, "vega": 0.0547, "theta": -0.0538, "rho": -0.0505, "theo": 19.5635, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.53, "last_trade_time": "2026-07-31T14:42:38", "percent_change": 0.0, "prev_day_close": 19.6999998092651}, {"option": "DRAM260918C00070000", "bid": 1.75, "bid_size": 114.0, "ask": 1.91, "ask_size": 122.0, "iv": 0.9296, "open_interest": 29438.0, "volume": 550.0, "delta": 0.2216, "gamma": 0.0176, "vega": 0.0538, "theta": -0.0537, "rho": 0.0123, "theo": 1.8152, "change": -0.125, "open": 1.44, "high": 1.95, "low": 1.41, "tick": "down", "last_trade_price": 1.9, "last_trade_time": "2026-08-03T15:56:45", "percent_change": -6.17284, "prev_day_close": 2.02499997615814}, {"option": "DRAM260918P00070000", "bid": 19.35, "bid_size": 786.0, "ask": 21.45, "ask_size": 689.0, "iv": 0.9213, "open_interest": 977.0, "volume": 216.0, "delta": -0.7844, "gamma": 0.018, "vega": 0.0528, "theta": -0.052, "rho": -0.0503, "theo": 20.4288, "change": -0.3, "open": 23.0, "high": 23.01, "low": 20.35, "tick": "up", "last_trade_price": 20.5, "last_trade_time": "2026-08-03T14:40:28", "percent_change": -1.44231, "prev_day_close": 20.8000001907349}, {"option": "DRAM260918C00071000", "bid": 1.41, "bid_size": 815.0, "ask": 2.06, "ask_size": 1183.0, "iv": 0.9363, "open_interest": 445.0, "volume": 29.0, "delta": 0.2094, "gamma": 0.017, "vega": 0.0521, "theta": -0.052, "rho": 0.0117, "theo": 1.6901, "change": -0.255, "open": 1.39, "high": 1.67, "low": 1.39, "tick": "no_change", "last_trade_price": 1.67, "last_trade_time": "2026-08-03T13:40:07", "percent_change": -13.2468, "prev_day_close": 1.92499995231628}, {"option": "DRAM260918P00071000", "bid": 20.8, "bid_size": 535.0, "ask": 22.15, "ask_size": 707.0, "iv": 0.9609, "open_interest": 320.0, "volume": 1.0, "delta": -0.797, "gamma": 0.0174, "vega": 0.0508, "theta": -0.0502, "rho": -0.0502, "theo": 21.3044, "change": -0.05, "open": 21.4, "high": 21.4, "low": 21.4, "tick": "down", "last_trade_price": 21.4, "last_trade_time": "2026-08-03T14:29:51", "percent_change": -0.233099, "prev_day_close": 21.4499998092651}, {"option": "DRAM260918C00072000", "bid": 1.44, "bid_size": 573.0, "ask": 1.89, "ask_size": 1206.0, "iv": 0.9467, "open_interest": 1238.0, "volume": 6.0, "delta": 0.1978, "gamma": 0.0164, "vega": 0.0504, "theta": -0.0503, "rho": 0.0111, "theo": 1.5738, "change": -0.29, "open": 1.3, "high": 1.49, "low": 1.3, "tick": "up", "last_trade_price": 1.48, "last_trade_time": "2026-08-03T12:51:16", "percent_change": -16.3842, "prev_day_close": 1.76999998092651}, {"option": "DRAM260918P00072000", "bid": 21.6, "bid_size": 509.0, "ask": 23.1, "ask_size": 553.0, "iv": 0.9611, "open_interest": 152.0, "volume": 0.0, "delta": -0.8089, "gamma": 0.0168, "vega": 0.0492, "theta": -0.0483, "rho": -0.0512, "theo": 22.1887, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.78, "last_trade_time": "2026-07-31T15:41:26", "percent_change": 0.0, "prev_day_close": 22.8500003814697}, {"option": "DRAM260918C00073000", "bid": 1.14, "bid_size": 1328.0, "ask": 1.83, "ask_size": 1330.0, "iv": 0.9336, "open_interest": 276.0, "volume": 4.0, "delta": 0.1867, "gamma": 0.0158, "vega": 0.0486, "theta": -0.0486, "rho": 0.0105, "theo": 1.4657, "change": -0.465, "open": 1.33, "high": 1.34, "low": 1.25, "tick": "up", "last_trade_price": 1.34, "last_trade_time": "2026-08-03T13:02:18", "percent_change": -25.7618, "prev_day_close": 1.80499994754791}, {"option": "DRAM260918P00073000", "bid": 22.55, "bid_size": 247.0, "ask": 24.2, "ask_size": 311.0, "iv": 0.9899, "open_interest": 37.0, "volume": 0.0, "delta": -0.8202, "gamma": 0.0163, "vega": 0.0473, "theta": -0.0465, "rho": -0.051, "theo": 23.0813, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 25.3, "last_trade_time": "2026-07-30T09:47:28", "percent_change": 0.0, "prev_day_close": 23.2250003814697}, {"option": "DRAM260918C00074000", "bid": 1.04, "bid_size": 933.0, "ask": 1.69, "ask_size": 1129.0, "iv": 0.9306, "open_interest": 1286.0, "volume": 28.0, "delta": 0.1763, "gamma": 0.0152, "vega": 0.0469, "theta": -0.0469, "rho": 0.0099, "theo": 1.3655, "change": -0.52, "open": 1.18, "high": 1.36, "low": 1.15, "tick": "down", "last_trade_price": 1.17, "last_trade_time": "2026-08-03T11:28:09", "percent_change": -30.7692, "prev_day_close": 1.68999999761581}, {"option": "DRAM260918P00074000", "bid": 23.4, "bid_size": 284.0, "ask": 25.05, "ask_size": 321.0, "iv": 0.9828, "open_interest": 31.0, "volume": 0.0, "delta": -0.8309, "gamma": 0.0157, "vega": 0.0454, "theta": -0.0447, "rho": -0.0511, "theo": 23.9818, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.08, "last_trade_time": "2026-07-21T12:48:18", "percent_change": 0.0, "prev_day_close": 24.125}, {"option": "DRAM260918C00075000", "bid": 1.11, "bid_size": 687.0, "ask": 1.35, "ask_size": 113.0, "iv": 0.9224, "open_interest": 20885.0, "volume": 442.0, "delta": 0.1664, "gamma": 0.0147, "vega": 0.0452, "theta": -0.0452, "rho": 0.0094, "theo": 1.2725, "change": -0.275, "open": 1.12, "high": 1.36, "low": 1.0, "tick": "down", "last_trade_price": 1.28, "last_trade_time": "2026-08-03T15:31:59", "percent_change": -17.6849, "prev_day_close": 1.55500000715256}, {"option": "DRAM260918P00075000", "bid": 24.15, "bid_size": 906.0, "ask": 25.6, "ask_size": 477.0, "iv": 0.9284, "open_interest": 688.0, "volume": 191.0, "delta": -0.8411, "gamma": 0.0151, "vega": 0.0434, "theta": -0.0429, "rho": -0.0496, "theo": 24.8901, "change": 2.35, "open": 27.6, "high": 27.6, "low": 27.6, "tick": "no_change", "last_trade_price": 27.6, "last_trade_time": "2026-08-03T09:34:43", "percent_change": 9.30693, "prev_day_close": 25.25}, {"option": "DRAM260918C00076000", "bid": 1.0, "bid_size": 1147.0, "ask": 1.29, "ask_size": 164.0, "iv": 0.9235, "open_interest": 2209.0, "volume": 0.0, "delta": 0.1571, "gamma": 0.0141, "vega": 0.0435, "theta": -0.0436, "rho": 0.0088, "theo": 1.1862, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.46, "last_trade_time": "2026-07-31T15:23:07", "percent_change": 0.0, "prev_day_close": 1.46499997377396}, {"option": "DRAM260918P00076000", "bid": 25.15, "bid_size": 425.0, "ask": 26.9, "ask_size": 459.0, "iv": 0.9842, "open_interest": 247.0, "volume": 0.0, "delta": -0.8507, "gamma": 0.0146, "vega": 0.0416, "theta": -0.0411, "rho": -0.0502, "theo": 25.8055, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.12, "last_trade_time": "2026-07-29T15:22:39", "percent_change": 0.0, "prev_day_close": 25.9749994277954}, {"option": "DRAM260918C00077000", "bid": 0.9, "bid_size": 1263.0, "ask": 1.34, "ask_size": 1099.0, "iv": 0.9378, "open_interest": 563.0, "volume": 239.0, "delta": 0.1483, "gamma": 0.0135, "vega": 0.0419, "theta": -0.042, "rho": 0.0084, "theo": 1.106, "change": -0.185, "open": 0.93, "high": 1.12, "low": 0.93, "tick": "no_change", "last_trade_price": 1.12, "last_trade_time": "2026-08-03T13:54:11", "percent_change": -14.1762, "prev_day_close": 1.30499994754791}, {"option": "DRAM260918P00077000", "bid": 26.15, "bid_size": 329.0, "ask": 27.8, "ask_size": 497.0, "iv": 0.9941, "open_interest": 72.0, "volume": 0.0, "delta": -0.8599, "gamma": 0.014, "vega": 0.0401, "theta": -0.0394, "rho": -0.0504, "theo": 26.7265, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.05, "last_trade_time": "2026-07-29T15:22:39", "percent_change": 0.0, "prev_day_close": 26.8500003814697}, {"option": "DRAM260918C00078000", "bid": 0.8, "bid_size": 1232.0, "ask": 1.15, "ask_size": 491.0, "iv": 0.9214, "open_interest": 825.0, "volume": 2.0, "delta": 0.14, "gamma": 0.013, "vega": 0.0403, "theta": -0.0404, "rho": 0.0079, "theo": 1.0315, "change": -0.3, "open": 0.91, "high": 0.91, "low": 0.91, "tick": "no_change", "last_trade_price": 0.91, "last_trade_time": "2026-08-03T10:12:38", "percent_change": -24.7934, "prev_day_close": 1.21000003814697}, {"option": "DRAM260918P00078000", "bid": 27.3, "bid_size": 145.0, "ask": 28.5, "ask_size": 238.0, "iv": 0.9972, "open_interest": 24.0, "volume": 0.0, "delta": -0.8686, "gamma": 0.0135, "vega": 0.0383, "theta": -0.0377, "rho": -0.0499, "theo": 27.6537, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.2, "last_trade_time": "2026-07-01T11:27:23", "percent_change": 0.0, "prev_day_close": 27.8249998092651}, {"option": "DRAM260918C00079000", "bid": 0.9, "bid_size": 191.0, "ask": 1.21, "ask_size": 1043.0, "iv": 0.9608, "open_interest": 211.0, "volume": 9.0, "delta": 0.1321, "gamma": 0.0125, "vega": 0.0387, "theta": -0.0389, "rho": 0.0075, "theo": 0.9625, "change": -0.24, "open": 0.86, "high": 1.04, "low": 0.86, "tick": "down", "last_trade_price": 0.95, "last_trade_time": "2026-08-03T14:29:51", "percent_change": -20.1681, "prev_day_close": 1.18999999761581}, {"option": "DRAM260918P00079000", "bid": 28.0, "bid_size": 256.0, "ask": 29.1, "ask_size": 132.0, "iv": 0.927, "open_interest": 53.0, "volume": 0.0, "delta": -0.8767, "gamma": 0.013, "vega": 0.0366, "theta": -0.0361, "rho": -0.0494, "theo": 28.5863, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.65, "last_trade_time": "2026-07-29T11:18:36", "percent_change": 0.0, "prev_day_close": 28.6999998092651}, {"option": "DRAM260918C00080000", "bid": 0.85, "bid_size": 122.0, "ask": 0.95, "ask_size": 64.0, "iv": 0.939, "open_interest": 20610.0, "volume": 328.0, "delta": 0.1247, "gamma": 0.012, "vega": 0.0372, "theta": -0.0374, "rho": 0.0071, "theo": 0.8984, "change": -0.2, "open": 0.9, "high": 0.97, "low": 0.6, "tick": "up", "last_trade_price": 0.91, "last_trade_time": "2026-08-03T15:58:01", "percent_change": -18.018, "prev_day_close": 1.11000001430511}, {"option": "DRAM260918P00080000", "bid": 28.9, "bid_size": 543.0, "ask": 30.65, "ask_size": 874.0, "iv": 1.0064, "open_interest": 3106.0, "volume": 238.0, "delta": -0.8844, "gamma": 0.0125, "vega": 0.0346, "theta": -0.0344, "rho": -0.0479, "theo": 29.5245, "change": -0.515, "open": 29.36, "high": 29.36, "low": 29.36, "tick": "no_change", "last_trade_price": 29.36, "last_trade_time": "2026-08-03T13:59:23", "percent_change": -1.72385, "prev_day_close": 29.875}, {"option": "DRAM260918C00081000", "bid": 0.47, "bid_size": 1694.0, "ask": 1.0, "ask_size": 808.0, "iv": 0.9098, "open_interest": 1052.0, "volume": 4.0, "delta": 0.1177, "gamma": 0.0115, "vega": 0.0357, "theta": -0.0359, "rho": 0.0067, "theo": 0.8389, "change": -0.325, "open": 0.83, "high": 0.85, "low": 0.83, "tick": "no_change", "last_trade_price": 0.85, "last_trade_time": "2026-08-03T14:24:50", "percent_change": -27.6596, "prev_day_close": 1.17500001192093}, {"option": "DRAM260918P00081000", "bid": 29.8, "bid_size": 176.0, "ask": 30.95, "ask_size": 105.0, "iv": 0.911, "open_interest": 10.0, "volume": 0.0, "delta": -0.8917, "gamma": 0.012, "vega": 0.0332, "theta": -0.0328, "rho": -0.0482, "theo": 30.4675, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.7, "last_trade_time": "2026-06-30T15:01:24", "percent_change": 0.0, "prev_day_close": 30.75}, {"option": "DRAM260918C00082000", "bid": 0.48, "bid_size": 1478.0, "ask": 0.8, "ask_size": 3.0, "iv": 0.8972, "open_interest": 1282.0, "volume": 0.0, "delta": 0.1111, "gamma": 0.011, "vega": 0.0343, "theta": -0.0345, "rho": 0.0063, "theo": 0.7836, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.1, "last_trade_time": "2026-07-31T15:48:17", "percent_change": 0.0, "prev_day_close": 1.06999999284744}, {"option": "DRAM260918P00082000", "bid": 30.7, "bid_size": 91.0, "ask": 32.05, "ask_size": 41.0, "iv": 0.9288, "open_interest": 17.0, "volume": 0.0, "delta": -0.8987, "gamma": 0.0116, "vega": 0.0318, "theta": -0.0313, "rho": -0.0478, "theo": 31.4144, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 17.4, "last_trade_time": "2026-06-30T15:59:56", "percent_change": 0.0, "prev_day_close": 31.4999990463257}, {"option": "DRAM260918C00083000", "bid": 0.68, "bid_size": 120.0, "ask": 0.81, "ask_size": 133.0, "iv": 0.9471, "open_interest": 159.0, "volume": 0.0, "delta": 0.1049, "gamma": 0.0105, "vega": 0.0329, "theta": -0.0331, "rho": 0.006, "theo": 0.7322, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 1.05, "last_trade_time": "2026-07-31T10:32:46", "percent_change": 0.0, "prev_day_close": 1.00499999523163}, {"option": "DRAM260918P00083000", "bid": 31.7, "bid_size": 76.0, "ask": 32.95, "ask_size": 24.0, "iv": 0.9293, "open_interest": 12.0, "volume": 0.0, "delta": -0.9053, "gamma": 0.0111, "vega": 0.0302, "theta": -0.0299, "rho": -0.0468, "theo": 32.3655, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.45, "last_trade_time": "2026-06-30T11:58:22", "percent_change": 0.0, "prev_day_close": 32.4749994277954}, {"option": "DRAM260918C00084000", "bid": 0.53, "bid_size": 1166.0, "ask": 0.77, "ask_size": 391.0, "iv": 0.9335, "open_interest": 13311.0, "volume": 358.0, "delta": 0.099, "gamma": 0.0101, "vega": 0.0315, "theta": -0.0318, "rho": 0.0056, "theo": 0.6846, "change": -0.18, "open": 0.65, "high": 0.72, "low": 0.65, "tick": "up", "last_trade_price": 0.71, "last_trade_time": "2026-08-03T15:52:53", "percent_change": -20.2247, "prev_day_close": 0.890000015497208}, {"option": "DRAM260918P00084000", "bid": 32.7, "bid_size": 49.0, "ask": 34.35, "ask_size": 108.0, "iv": 1.0112, "open_interest": 19.0, "volume": 0.0, "delta": -0.9115, "gamma": 0.0107, "vega": 0.0286, "theta": -0.0284, "rho": -0.0466, "theo": 33.3204, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.75, "last_trade_time": "2026-07-07T10:19:33", "percent_change": 0.0, "prev_day_close": 33.4249992370606}, {"option": "DRAM260918C00085000", "bid": 0.58, "bid_size": 409.0, "ask": 0.89, "ask_size": 1478.0, "iv": 0.977, "open_interest": 2456.0, "volume": 25.0, "delta": 0.0935, "gamma": 0.0096, "vega": 0.0302, "theta": -0.0305, "rho": 0.0053, "theo": 0.6403, "change": -0.18, "open": 0.54, "high": 0.7, "low": 0.54, "tick": "up", "last_trade_price": 0.64, "last_trade_time": "2026-08-03T15:33:38", "percent_change": -21.9512, "prev_day_close": 0.819999992847443}, {"option": "DRAM260918P00085000", "bid": 33.75, "bid_size": 611.0, "ask": 35.3, "ask_size": 966.0, "iv": 1.0286, "open_interest": 1010.0, "volume": 0.0, "delta": -0.9173, "gamma": 0.0103, "vega": 0.027, "theta": -0.027, "rho": -0.0447, "theo": 34.2789, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.61, "last_trade_time": "2026-07-31T10:00:04", "percent_change": 0.0, "prev_day_close": 34.7250003814697}, {"option": "DRAM260918C00086000", "bid": 0.35, "bid_size": 1130.0, "ask": 0.74, "ask_size": 937.0, "iv": 0.9287, "open_interest": 96.0, "volume": 2.0, "delta": 0.0883, "gamma": 0.0092, "vega": 0.029, "theta": -0.0293, "rho": 0.005, "theo": 0.5991, "change": -0.4, "open": 0.56, "high": 0.56, "low": 0.55, "tick": "down", "last_trade_price": 0.55, "last_trade_time": "2026-08-03T11:51:15", "percent_change": -42.1053, "prev_day_close": 0.949999958276749}, {"option": "DRAM260918P00086000", "bid": 34.5, "bid_size": 68.0, "ask": 36.3, "ask_size": 96.0, "iv": 1.0058, "open_interest": 9.0, "volume": 0.0, "delta": -0.9227, "gamma": 0.0098, "vega": 0.0256, "theta": -0.0256, "rho": -0.0442, "theo": 35.241, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 20.15, "last_trade_time": "2026-06-30T15:59:57", "percent_change": 0.0, "prev_day_close": 35.3250007629394}, {"option": "DRAM260918C00087000", "bid": 0.3, "bid_size": 1760.0, "ask": 0.78, "ask_size": 1465.0, "iv": 0.9421, "open_interest": 110.0, "volume": 1.0, "delta": 0.0834, "gamma": 0.0088, "vega": 0.0278, "theta": -0.0281, "rho": 0.0048, "theo": 0.5608, "change": -0.195, "open": 0.49, "high": 0.49, "low": 0.49, "tick": "down", "last_trade_price": 0.49, "last_trade_time": "2026-08-03T10:08:46", "percent_change": -28.4672, "prev_day_close": 0.685000002384186}, {"option": "DRAM260918P00087000", "bid": 35.55, "bid_size": 65.0, "ask": 37.25, "ask_size": 93.0, "iv": 1.0224, "open_interest": 0.0, "volume": 0.0, "delta": -0.928, "gamma": 0.0095, "vega": 0.0243, "theta": -0.0243, "rho": -0.0425, "theo": 36.2058, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.3250007629394}, {"option": "DRAM260918C00088000", "bid": 0.35, "bid_size": 1480.0, "ask": 0.87, "ask_size": 2009.0, "iv": 0.9825, "open_interest": 142.0, "volume": 2.0, "delta": 0.0788, "gamma": 0.0084, "vega": 0.0266, "theta": -0.0269, "rho": 0.0045, "theo": 0.5252, "change": -0.215, "open": 0.5, "high": 0.5, "low": 0.5, "tick": "no_change", "last_trade_price": 0.5, "last_trade_time": "2026-08-03T13:11:50", "percent_change": -30.0699, "prev_day_close": 0.715000003576279}, {"option": "DRAM260918P00088000", "bid": 36.5, "bid_size": 79.0, "ask": 38.2, "ask_size": 102.0, "iv": 1.0212, "open_interest": 0.0, "volume": 0.0, "delta": -0.933, "gamma": 0.0091, "vega": 0.0229, "theta": -0.0232, "rho": -0.0424, "theo": 37.1736, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 37.2749996185303}, {"option": "DRAM260918C00089000", "bid": 0.26, "bid_size": 1670.0, "ask": 0.72, "ask_size": 1986.0, "iv": 0.9524, "open_interest": 691.0, "volume": 1.0, "delta": 0.0745, "gamma": 0.0081, "vega": 0.0255, "theta": -0.0258, "rho": 0.0042, "theo": 0.4921, "change": -0.235, "open": 0.43, "high": 0.43, "low": 0.43, "tick": "down", "last_trade_price": 0.43, "last_trade_time": "2026-08-03T10:35:38", "percent_change": -35.3383, "prev_day_close": 0.66499999165535}, {"option": "DRAM260918P00089000", "bid": 37.6, "bid_size": 57.0, "ask": 39.2, "ask_size": 101.0, "iv": 1.0547, "open_interest": 0.0, "volume": 0.0, "delta": -0.9377, "gamma": 0.0088, "vega": 0.0216, "theta": -0.022, "rho": -0.0408, "theo": 38.144, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.3500003814697}, {"option": "DRAM260918C00090000", "bid": 0.44, "bid_size": 12.0, "ask": 0.51, "ask_size": 57.0, "iv": 0.9586, "open_interest": 13469.0, "volume": 93.0, "delta": 0.0704, "gamma": 0.0077, "vega": 0.0244, "theta": -0.0248, "rho": 0.004, "theo": 0.4613, "change": -0.19, "open": 0.46, "high": 0.49, "low": 0.4, "tick": "up", "last_trade_price": 0.46, "last_trade_time": "2026-08-03T15:58:01", "percent_change": -29.2308, "prev_day_close": 0.649999976158142}, {"option": "DRAM260918P00090000", "bid": 38.5, "bid_size": 80.0, "ask": 39.7, "ask_size": 65.0, "iv": 0.9465, "open_interest": 34.0, "volume": 0.0, "delta": -0.9421, "gamma": 0.0084, "vega": 0.0205, "theta": -0.0208, "rho": -0.0405, "theo": 39.1166, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 44.3, "last_trade_time": "2026-07-29T10:51:03", "percent_change": 0.0, "prev_day_close": 39.1999988555908}, {"option": "DRAM260918C00095000", "bid": 0.3, "bid_size": 247.0, "ask": 0.43, "ask_size": 1203.0, "iv": 0.9786, "open_interest": 1716.0, "volume": 4.0, "delta": 0.0533, "gamma": 0.0062, "vega": 0.0196, "theta": -0.02, "rho": 0.0031, "theo": 0.3361, "change": -0.125, "open": 0.3, "high": 0.35, "low": 0.3, "tick": "down", "last_trade_price": 0.34, "last_trade_time": "2026-08-03T14:15:14", "percent_change": -26.8817, "prev_day_close": 0.464999988675118}, {"option": "DRAM260918P00095000", "bid": 43.25, "bid_size": 70.0, "ask": 45.05, "ask_size": 76.0, "iv": 1.0432, "open_interest": 8.0, "volume": 0.0, "delta": -0.961, "gamma": 0.0069, "vega": 0.0146, "theta": -0.0154, "rho": -0.0324, "theo": 44.0121, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 43.06, "last_trade_time": "2026-07-31T09:57:41", "percent_change": 0.0, "prev_day_close": 44.0750007629394}, {"option": "DRAM260918C00100000", "bid": 0.23, "bid_size": 13.0, "ask": 0.26, "ask_size": 1.0, "iv": 0.9715, "open_interest": 15591.0, "volume": 324.0, "delta": 0.0407, "gamma": 0.0049, "vega": 0.0158, "theta": -0.0162, "rho": 0.0023, "theo": 0.2479, "change": -0.155, "open": 0.24, "high": 0.3, "low": 0.21, "tick": "up", "last_trade_price": 0.24, "last_trade_time": "2026-08-03T15:47:24", "percent_change": -39.2405, "prev_day_close": 0.394999995827675}, {"option": "DRAM260918P00100000", "bid": 48.45, "bid_size": 66.0, "ask": 49.85, "ask_size": 88.0, "iv": 1.1109, "open_interest": 32.0, "volume": 5.0, "delta": -0.9758, "gamma": 0.006, "vega": 0.0097, "theta": -0.0117, "rho": -0.0228, "theo": 48.9473, "change": 2.635, "open": 51.61, "high": 51.61, "low": 51.61, "tick": "up", "last_trade_price": 51.61, "last_trade_time": "2026-08-03T09:46:11", "percent_change": 5.3803, "prev_day_close": 48.9750003814697}, {"option": "DRAM260918C00105000", "bid": 0.0, "bid_size": 0.0, "ask": 0.4, "ask_size": 2747.0, "iv": 0.9947, "open_interest": 638.0, "volume": 4.0, "delta": 0.0313, "gamma": 0.0039, "vega": 0.0127, "theta": -0.0131, "rho": 0.0018, "theo": 0.1849, "change": -0.075, "open": 0.17, "high": 0.21, "low": 0.17, "tick": "down", "last_trade_price": 0.19, "last_trade_time": "2026-08-03T15:44:35", "percent_change": -28.3019, "prev_day_close": 0.264999993145466}, {"option": "DRAM260918P00105000", "bid": 53.1, "bid_size": 10.0, "ask": 54.9, "ask_size": 19.0, "iv": 1.0811, "open_interest": 14.0, "volume": 0.0, "delta": -0.9867, "gamma": 0.0046, "vega": 0.0044, "theta": -0.009, "rho": -0.0116, "theo": 53.9128, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 37.3, "last_trade_time": "2026-06-29T14:46:45", "percent_change": 0.0, "prev_day_close": 53.875}, {"option": "DRAM260918C00110000", "bid": 0.05, "bid_size": 734.0, "ask": 0.15, "ask_size": 2.0, "iv": 0.9487, "open_interest": 569.0, "volume": 0.0, "delta": 0.0242, "gamma": 0.0031, "vega": 0.0102, "theta": -0.0107, "rho": 0.0014, "theo": 0.1393, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.21, "last_trade_time": "2026-07-31T15:35:35", "percent_change": 0.0, "prev_day_close": 0.215000003576279}, {"option": "DRAM260918P00110000", "bid": 57.95, "bid_size": 14.0, "ask": 59.95, "ask_size": 20.0, "iv": 1.0922, "open_interest": 0.0, "volume": 0.0, "delta": -0.9941, "gamma": 0.0029, "vega": 0.0026, "theta": -0.0074, "rho": -0.0081, "theo": 58.8985, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 58.9000015258789}, {"option": "DRAM260918C00115000", "bid": 0.03, "bid_size": 774.0, "ask": 0.18, "ask_size": 565.0, "iv": 1.0004, "open_interest": 499.0, "volume": 0.0, "delta": 0.0189, "gamma": 0.0025, "vega": 0.0083, "theta": -0.0087, "rho": 0.0011, "theo": 0.1063, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.1, "last_trade_time": "2026-07-29T13:39:27", "percent_change": 0.0, "prev_day_close": 0.155000001192093}, {"option": "DRAM260918P00115000", "bid": 62.9, "bid_size": 2.0, "ask": 64.9, "ask_size": 19.0, "iv": 1.0496, "open_interest": 0.0, "volume": 0.0, "delta": -0.9979, "gamma": 0.0012, "vega": 0.0, "theta": -0.0078, "rho": 0.0, "theo": 63.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 47.0, "last_trade_time": "2026-06-23T13:24:22", "percent_change": 0.0, "prev_day_close": 63.9500007629394}, {"option": "DRAM260918C00122000", "bid": 0.05, "bid_size": 1.0, "ask": 0.15, "ask_size": 579.0, "iv": 1.0535, "open_interest": 14643.0, "volume": 22.0, "delta": 0.0136, "gamma": 0.0019, "vega": 0.0062, "theta": -0.0066, "rho": 0.0008, "theo": 0.074, "change": -0.125, "open": 0.06, "high": 0.1, "low": 0.06, "tick": "up", "last_trade_price": 0.1, "last_trade_time": "2026-08-03T12:14:44", "percent_change": -55.5556, "prev_day_close": 0.224999994039536}, {"option": "DRAM260918P00122000", "bid": 70.1, "bid_size": 10.0, "ask": 71.95, "ask_size": 20.0, "iv": 1.2864, "open_interest": 0.0, "volume": 0.0, "delta": -1.0, "gamma": 0.0, "vega": 0.0, "theta": -0.0078, "rho": 0.0, "theo": 70.895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 71.0}, {"option": "DRAM261016C00025000", "bid": 25.7, "bid_size": 80.0, "ask": 27.65, "ask_size": 108.0, "iv": 0.9784, "open_interest": 0.0, "volume": 0.0, "delta": 0.9612, "gamma": 0.0035, "vega": 0.0195, "theta": -0.011, "rho": 0.0465, "theo": 26.8073, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 26.9000005722046}, {"option": "DRAM261016P00025000", "bid": 0.4, "bid_size": 712.0, "ask": 0.63, "ask_size": 1400.0, "iv": 1.084, "open_interest": 171.0, "volume": 33.0, "delta": -0.0393, "gamma": 0.0035, "vega": 0.0196, "theta": -0.0137, "rho": -0.0048, "theo": 0.4532, "change": -0.065, "open": 0.55, "high": 0.62, "low": 0.48, "tick": "up", "last_trade_price": 0.5, "last_trade_time": "2026-08-03T14:59:01", "percent_change": -11.5044, "prev_day_close": 0.564999982714653}, {"option": "DRAM261016C00030000", "bid": 21.6, "bid_size": 774.0, "ask": 23.1, "ask_size": 619.0, "iv": 0.9973, "open_interest": 299.0, "volume": 15.0, "delta": 0.9229, "gamma": 0.0063, "vega": 0.0335, "theta": -0.0203, "rho": 0.0516, "theo": 22.371, "change": -0.775, "open": 20.56, "high": 21.5, "low": 19.86, "tick": "up", "last_trade_price": 21.5, "last_trade_time": "2026-08-03T10:36:28", "percent_change": -3.47924, "prev_day_close": 22.2749996185303}, {"option": "DRAM261016P00030000", "bid": 0.93, "bid_size": 90.0, "ask": 1.27, "ask_size": 1570.0, "iv": 1.0409, "open_interest": 2475.0, "volume": 65.0, "delta": -0.0778, "gamma": 0.0063, "vega": 0.0335, "theta": -0.0225, "rho": -0.0095, "theo": 0.973, "change": -0.19, "open": 1.21, "high": 1.26, "low": 1.0, "tick": "down", "last_trade_price": 1.0, "last_trade_time": "2026-08-03T12:23:40", "percent_change": -15.9664, "prev_day_close": 1.18999999761581}, {"option": "DRAM261016C00035000", "bid": 17.2, "bid_size": 1308.0, "ask": 18.75, "ask_size": 558.0, "iv": 0.9019, "open_interest": 434.0, "volume": 5.0, "delta": 0.8661, "gamma": 0.0097, "vega": 0.0499, "theta": -0.0307, "rho": 0.0541, "theo": 18.2918, "change": 0.325, "open": 16.0, "high": 18.85, "low": 16.0, "tick": "up", "last_trade_price": 18.85, "last_trade_time": "2026-08-03T15:32:38", "percent_change": 1.75439, "prev_day_close": 18.5249996185303}, {"option": "DRAM261016P00035000", "bid": 1.74, "bid_size": 866.0, "ask": 1.85, "ask_size": 5.0, "iv": 0.956, "open_interest": 2346.0, "volume": 1675.0, "delta": -0.1349, "gamma": 0.0097, "vega": 0.05, "theta": -0.0325, "rho": -0.0164, "theo": 1.8516, "change": -0.255, "open": 2.39, "high": 2.4, "low": 1.81, "tick": "no_change", "last_trade_price": 1.83, "last_trade_time": "2026-08-03T15:59:43", "percent_change": -12.2302, "prev_day_close": 2.08499997854233}, {"option": "DRAM261016C00040000", "bid": 14.1, "bid_size": 1212.0, "ask": 15.55, "ask_size": 1039.0, "iv": 0.9648, "open_interest": 1121.0, "volume": 327.0, "delta": 0.7919, "gamma": 0.0132, "vega": 0.0662, "theta": -0.0406, "rho": 0.0537, "theo": 14.6698, "change": -0.3, "open": 11.85, "high": 14.5, "low": 11.85, "tick": "up", "last_trade_price": 14.5, "last_trade_time": "2026-08-03T14:39:55", "percent_change": -2.02703, "prev_day_close": 14.8000001907349}, {"option": "DRAM261016P00040000", "bid": 2.95, "bid_size": 810.0, "ask": 3.3, "ask_size": 15.0, "iv": 0.9315, "open_interest": 17390.0, "volume": 1663.0, "delta": -0.2095, "gamma": 0.0133, "vega": 0.0663, "theta": -0.042, "rho": -0.0256, "theo": 3.1897, "change": -0.3, "open": 3.98, "high": 4.1, "low": 3.1, "tick": "no_change", "last_trade_price": 3.25, "last_trade_time": "2026-08-03T15:57:03", "percent_change": -8.4507, "prev_day_close": 3.54999995231628}, {"option": "DRAM261016C00045000", "bid": 11.25, "bid_size": 683.0, "ask": 12.05, "ask_size": 813.0, "iv": 0.9335, "open_interest": 207.0, "volume": 42.0, "delta": 0.705, "gamma": 0.0162, "vega": 0.0796, "theta": -0.0486, "rho": 0.0508, "theo": 11.5695, "change": -0.2, "open": 9.6, "high": 11.5, "low": 9.6, "tick": "up", "last_trade_price": 11.5, "last_trade_time": "2026-08-03T15:45:53", "percent_change": -1.7094, "prev_day_close": 11.6999998092651}, {"option": "DRAM261016P00045000", "bid": 4.8, "bid_size": 669.0, "ask": 5.25, "ask_size": 348.0, "iv": 0.9198, "open_interest": 5637.0, "volume": 188.0, "delta": -0.2971, "gamma": 0.0163, "vega": 0.0797, "theta": -0.0497, "rho": -0.0362, "theo": 5.0541, "change": -0.34, "open": 6.1, "high": 6.2, "low": 5.0, "tick": "down", "last_trade_price": 5.11, "last_trade_time": "2026-08-03T15:22:19", "percent_change": -6.23853, "prev_day_close": 5.45000004768372}, {"option": "DRAM261016C00050000", "bid": 8.55, "bid_size": 719.0, "ask": 9.35, "ask_size": 608.0, "iv": 0.9054, "open_interest": 7909.0, "volume": 841.0, "delta": 0.6124, "gamma": 0.0182, "vega": 0.0883, "theta": -0.0536, "rho": 0.0463, "theo": 9.0075, "change": -0.2, "open": 8.65, "high": 9.29, "low": 7.35, "tick": "up", "last_trade_price": 9.05, "last_trade_time": "2026-08-03T15:57:35", "percent_change": -2.16216, "prev_day_close": 9.25}, {"option": "DRAM261016P00050000", "bid": 7.15, "bid_size": 581.0, "ask": 7.6, "ask_size": 40.0, "iv": 0.9023, "open_interest": 3885.0, "volume": 5400.0, "delta": -0.3907, "gamma": 0.0184, "vega": 0.0884, "theta": -0.0544, "rho": -0.0473, "theo": 7.4602, "change": -0.425, "open": 8.96, "high": 9.1, "low": 7.35, "tick": "down", "last_trade_price": 7.55, "last_trade_time": "2026-08-03T15:05:30", "percent_change": -5.32915, "prev_day_close": 7.97499990463257}, {"option": "DRAM261016C00055000", "bid": 6.9, "bid_size": 1.0, "ask": 7.1, "ask_size": 277.0, "iv": 0.9107, "open_interest": 5121.0, "volume": 1938.0, "delta": 0.5209, "gamma": 0.019, "vega": 0.0918, "theta": -0.0556, "rho": 0.0408, "theo": 6.9531, "change": -0.25, "open": 6.13, "high": 7.35, "low": 5.75, "tick": "down", "last_trade_price": 6.95, "last_trade_time": "2026-08-03T15:59:52", "percent_change": -3.47222, "prev_day_close": 7.20000004768372}, {"option": "DRAM261016P00055000", "bid": 10.15, "bid_size": 323.0, "ask": 10.7, "ask_size": 426.0, "iv": 0.9105, "open_interest": 36583.0, "volume": 18.0, "delta": -0.4833, "gamma": 0.0193, "vega": 0.0916, "theta": -0.056, "rho": -0.0578, "theo": 10.3802, "change": -0.575, "open": 12.0, "high": 12.0, "low": 10.25, "tick": "down", "last_trade_price": 10.25, "last_trade_time": "2026-08-03T15:50:04", "percent_change": -5.31178, "prev_day_close": 10.8249998092651}, {"option": "DRAM261016C00060000", "bid": 5.2, "bid_size": 147.0, "ask": 5.45, "ask_size": 79.0, "iv": 0.9009, "open_interest": 5776.0, "volume": 691.0, "delta": 0.4359, "gamma": 0.0188, "vega": 0.0906, "theta": -0.0549, "rho": 0.035, "theo": 5.345, "change": -0.325, "open": 5.2, "high": 5.55, "low": 4.3, "tick": "down", "last_trade_price": 5.25, "last_trade_time": "2026-08-03T15:56:47", "percent_change": -5.8296, "prev_day_close": 5.57500004768372}, {"option": "DRAM261016P00060000", "bid": 13.5, "bid_size": 355.0, "ask": 14.0, "ask_size": 256.0, "iv": 0.9029, "open_interest": 1958.0, "volume": 88.0, "delta": -0.5696, "gamma": 0.0192, "vega": 0.0902, "theta": -0.055, "rho": -0.0674, "theo": 13.7523, "change": -0.515, "open": 14.35, "high": 14.75, "low": 13.6, "tick": "up", "last_trade_price": 13.81, "last_trade_time": "2026-08-03T14:27:02", "percent_change": -3.59511, "prev_day_close": 14.3249998092651}, {"option": "DRAM261016C00065000", "bid": 4.0, "bid_size": 91.0, "ask": 4.4, "ask_size": 837.0, "iv": 0.9144, "open_interest": 2728.0, "volume": 465.0, "delta": 0.3608, "gamma": 0.0179, "vega": 0.0861, "theta": -0.0522, "rho": 0.0296, "theo": 4.1073, "change": 0.075, "open": 3.55, "high": 4.4, "low": 3.39, "tick": "up", "last_trade_price": 4.4, "last_trade_time": "2026-08-03T15:56:54", "percent_change": 1.7341, "prev_day_close": 4.32500004768372}, {"option": "DRAM261016P00065000", "bid": 17.1, "bid_size": 475.0, "ask": 18.4, "ask_size": 950.0, "iv": 0.9328, "open_interest": 1443.0, "volume": 7.0, "delta": -0.6463, "gamma": 0.0183, "vega": 0.0853, "theta": -0.052, "rho": -0.0746, "theo": 17.5004, "change": -0.385, "open": 19.44, "high": 19.44, "low": 17.49, "tick": "down", "last_trade_price": 17.49, "last_trade_time": "2026-08-03T15:42:42", "percent_change": -2.15385, "prev_day_close": 17.875}, {"option": "DRAM261016C00070000", "bid": 3.05, "bid_size": 121.0, "ask": 3.25, "ask_size": 71.0, "iv": 0.9045, "open_interest": 2836.0, "volume": 1518.0, "delta": 0.2964, "gamma": 0.0165, "vega": 0.0795, "theta": -0.0483, "rho": 0.0247, "theo": 3.1648, "change": -0.225, "open": 2.8, "high": 3.35, "low": 2.56, "tick": "up", "last_trade_price": 3.2, "last_trade_time": "2026-08-03T15:50:48", "percent_change": -6.56934, "prev_day_close": 3.42499995231628}, {"option": "DRAM261016P00070000", "bid": 20.9, "bid_size": 721.0, "ask": 22.7, "ask_size": 833.0, "iv": 0.9382, "open_interest": 244.0, "volume": 4.0, "delta": -0.7122, "gamma": 0.017, "vega": 0.0781, "theta": -0.0479, "rho": -0.0797, "theo": 21.5497, "change": -0.32, "open": 22.0, "high": 22.0, "low": 21.63, "tick": "up", "last_trade_price": 21.73, "last_trade_time": "2026-08-03T15:33:24", "percent_change": -1.45124, "prev_day_close": 22.0499992370605}, {"option": "DRAM261016C00075000", "bid": 2.34, "bid_size": 223.0, "ask": 2.5, "ask_size": 37.0, "iv": 0.9065, "open_interest": 5881.0, "volume": 1551.0, "delta": 0.2428, "gamma": 0.0148, "vega": 0.0719, "theta": -0.0438, "rho": 0.0204, "theo": 2.4507, "change": -0.275, "open": 2.25, "high": 2.57, "low": 2.0, "tick": "no_change", "last_trade_price": 2.45, "last_trade_time": "2026-08-03T15:58:41", "percent_change": -10.0917, "prev_day_close": 2.72500002384186}, {"option": "DRAM261016P00075000", "bid": 25.3, "bid_size": 436.0, "ask": 26.4, "ask_size": 364.0, "iv": 0.9132, "open_interest": 105.0, "volume": 0.0, "delta": -0.7677, "gamma": 0.0154, "vega": 0.0698, "theta": -0.0432, "rho": -0.0826, "theo": 25.8332, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.54, "last_trade_time": "2026-07-31T09:30:01", "percent_change": 0.0, "prev_day_close": 26.3000001907349}, {"option": "DRAM261016C00080000", "bid": 1.8, "bid_size": 332.0, "ask": 1.99, "ask_size": 302.0, "iv": 0.9139, "open_interest": 5853.0, "volume": 399.0, "delta": 0.1987, "gamma": 0.0131, "vega": 0.0641, "theta": -0.0392, "rho": 0.0169, "theo": 1.9102, "change": -0.165, "open": 1.6, "high": 1.98, "low": 1.6, "tick": "up", "last_trade_price": 1.91, "last_trade_time": "2026-08-03T15:49:38", "percent_change": -7.95181, "prev_day_close": 2.07500004768372}, {"option": "DRAM261016P00080000", "bid": 29.8, "bid_size": 318.0, "ask": 31.1, "ask_size": 372.0, "iv": 0.9414, "open_interest": 103.0, "volume": 0.0, "delta": -0.8137, "gamma": 0.0138, "vega": 0.0608, "theta": -0.0383, "rho": -0.0828, "theo": 30.2958, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 30.5, "last_trade_time": "2026-07-31T10:27:40", "percent_change": 0.0, "prev_day_close": 30.4249992370606}, {"option": "DRAM261016C00085000", "bid": 1.36, "bid_size": 594.0, "ask": 1.75, "ask_size": 1157.0, "iv": 0.9324, "open_interest": 2279.0, "volume": 52.0, "delta": 0.1628, "gamma": 0.0115, "vega": 0.0565, "theta": -0.0348, "rho": 0.014, "theo": 1.5003, "change": -0.14, "open": 1.3, "high": 1.55, "low": 1.26, "tick": "down", "last_trade_price": 1.52, "last_trade_time": "2026-08-03T15:50:48", "percent_change": -8.43374, "prev_day_close": 1.66000002622604}, {"option": "DRAM261016P00085000", "bid": 34.4, "bid_size": 283.0, "ask": 36.05, "ask_size": 352.0, "iv": 0.9831, "open_interest": 22.0, "volume": 0.0, "delta": -0.8514, "gamma": 0.0122, "vega": 0.0525, "theta": -0.0336, "rho": -0.0803, "theo": 34.8932, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 29.41, "last_trade_time": "2026-07-08T10:00:09", "percent_change": 0.0, "prev_day_close": 35.3000011444092}, {"option": "DRAM261016C00090000", "bid": 1.01, "bid_size": 1003.0, "ask": 1.45, "ask_size": 1422.0, "iv": 0.9382, "open_interest": 5330.0, "volume": 95.0, "delta": 0.1338, "gamma": 0.01, "vega": 0.0495, "theta": -0.0306, "rho": 0.0115, "theo": 1.1878, "change": -0.17, "open": 1.13, "high": 1.18, "low": 1.05, "tick": "up", "last_trade_price": 1.18, "last_trade_time": "2026-08-03T14:20:39", "percent_change": -12.5926, "prev_day_close": 1.35000002384186}, {"option": "DRAM261016P00090000", "bid": 39.05, "bid_size": 224.0, "ask": 40.2, "ask_size": 158.0, "iv": 0.9366, "open_interest": 49.0, "volume": 0.0, "delta": -0.8824, "gamma": 0.0108, "vega": 0.0445, "theta": -0.0292, "rho": -0.0782, "theo": 39.5939, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 40.77, "last_trade_time": "2026-07-30T10:26:31", "percent_change": 0.0, "prev_day_close": 40.1749992370606}, {"option": "DRAM261016C00095000", "bid": 0.78, "bid_size": 949.0, "ask": 1.25, "ask_size": 1637.0, "iv": 0.9523, "open_interest": 337.0, "volume": 5.0, "delta": 0.1104, "gamma": 0.0087, "vega": 0.0433, "theta": -0.0269, "rho": 0.0096, "theo": 0.9481, "change": -0.12, "open": 0.88, "high": 1.02, "low": 0.88, "tick": "up", "last_trade_price": 0.94, "last_trade_time": "2026-08-03T14:15:14", "percent_change": -11.3208, "prev_day_close": 1.06000003218651}, {"option": "DRAM261016P00095000", "bid": 43.6, "bid_size": 91.0, "ask": 45.6, "ask_size": 120.0, "iv": 0.9946, "open_interest": 0.0, "volume": 0.0, "delta": -0.9078, "gamma": 0.0095, "vega": 0.0371, "theta": -0.0251, "rho": -0.0735, "theo": 44.3723, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 44.4499988555908}, {"option": "DRAM261016C00100000", "bid": 0.7, "bid_size": 75.0, "ask": 0.97, "ask_size": 1161.0, "iv": 0.9633, "open_interest": 1245.0, "volume": 108.0, "delta": 0.0915, "gamma": 0.0075, "vega": 0.0377, "theta": -0.0236, "rho": 0.008, "theo": 0.7632, "change": -0.2, "open": 0.7, "high": 0.75, "low": 0.64, "tick": "no_change", "last_trade_price": 0.75, "last_trade_time": "2026-08-03T15:00:12", "percent_change": -21.0526, "prev_day_close": 0.950000017881394}, {"option": "DRAM261016P00100000", "bid": 48.5, "bid_size": 87.0, "ask": 50.4, "ask_size": 110.0, "iv": 1.016, "open_interest": 21.0, "volume": 0.0, "delta": -0.9288, "gamma": 0.0085, "vega": 0.0303, "theta": -0.0217, "rho": -0.0661, "theo": 49.2078, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 49.4, "last_trade_time": "2026-07-31T15:13:13", "percent_change": 0.0, "prev_day_close": 49.5749988555908}, {"option": "DRAM261016C00105000", "bid": 0.54, "bid_size": 318.0, "ask": 0.83, "ask_size": 1726.0, "iv": 0.9719, "open_interest": 1778.0, "volume": 14.0, "delta": 0.0763, "gamma": 0.0065, "vega": 0.0328, "theta": -0.0207, "rho": 0.0066, "theo": 0.6193, "change": -0.13, "open": 0.53, "high": 0.62, "low": 0.53, "tick": "no_change", "last_trade_price": 0.62, "last_trade_time": "2026-08-03T13:55:39", "percent_change": -17.3333, "prev_day_close": 0.75}, {"option": "DRAM261016P00105000", "bid": 53.55, "bid_size": 471.0, "ask": 55.25, "ask_size": 564.0, "iv": 1.0572, "open_interest": 213.0, "volume": 0.0, "delta": -0.9463, "gamma": 0.0076, "vega": 0.0242, "theta": -0.019, "rho": -0.0563, "theo": 54.09, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 51.95, "last_trade_time": "2026-07-24T10:37:03", "percent_change": 0.0, "prev_day_close": 54.6000003814697}, {"option": "DRAM261016C00110000", "bid": 0.24, "bid_size": 2359.0, "ask": 0.8, "ask_size": 2274.0, "iv": 0.9646, "open_interest": 723.0, "volume": 4.0, "delta": 0.0639, "gamma": 0.0056, "vega": 0.0287, "theta": -0.0181, "rho": 0.0056, "theo": 0.5066, "change": -0.15, "open": 0.4, "high": 0.53, "low": 0.4, "tick": "down", "last_trade_price": 0.4, "last_trade_time": "2026-08-03T14:58:03", "percent_change": -27.2727, "prev_day_close": 0.550000011920929}, {"option": "DRAM261016P00110000", "bid": 58.3, "bid_size": 74.0, "ask": 60.2, "ask_size": 79.0, "iv": 1.0624, "open_interest": 0.0, "volume": 0.0, "delta": -0.9607, "gamma": 0.0068, "vega": 0.0186, "theta": -0.0162, "rho": -0.0476, "theo": 59.0056, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 59.0499992370606}, {"option": "DRAM261016C00115000", "bid": 0.29, "bid_size": 1124.0, "ask": 0.69, "ask_size": 2249.0, "iv": 0.9958, "open_interest": 207.0, "volume": 3.0, "delta": 0.0538, "gamma": 0.0048, "vega": 0.025, "theta": -0.0159, "rho": 0.0047, "theo": 0.4175, "change": -0.195, "open": 0.33, "high": 0.53, "low": 0.33, "tick": "down", "last_trade_price": 0.39, "last_trade_time": "2026-08-03T14:11:54", "percent_change": -33.3333, "prev_day_close": 0.584999993443489}, {"option": "DRAM261016P00115000", "bid": 63.2, "bid_size": 77.0, "ask": 65.05, "ask_size": 76.0, "iv": 1.063, "open_interest": 1.0, "volume": 0.0, "delta": -0.973, "gamma": 0.0059, "vega": 0.0129, "theta": -0.0142, "rho": -0.0332, "theo": 63.9512, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 50.25, "last_trade_time": "2026-07-01T11:14:52", "percent_change": 0.0, "prev_day_close": 64.0500011444092}, {"option": "DRAM261016C00122000", "bid": 0.01, "bid_size": 2850.0, "ask": 0.55, "ask_size": 1096.0, "iv": 0.9566, "open_interest": 35278.0, "volume": 46.0, "delta": 0.0426, "gamma": 0.004, "vega": 0.0208, "theta": -0.0133, "rho": 0.0037, "theo": 0.3223, "change": 0.075, "open": 0.32, "high": 0.36, "low": 0.29, "tick": "up", "last_trade_price": 0.36, "last_trade_time": "2026-08-03T11:58:20", "percent_change": 26.3158, "prev_day_close": 0.285000005736947}, {"option": "DRAM261016P00122000", "bid": 70.0, "bid_size": 50.0, "ask": 72.1, "ask_size": 60.0, "iv": 1.0903, "open_interest": 0.0, "volume": 0.0, "delta": -0.9867, "gamma": 0.0051, "vega": 0.0074, "theta": -0.0101, "rho": -0.0209, "theo": 70.9049, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 67.45, "last_trade_time": "2026-07-27T09:31:28", "percent_change": 0.0, "prev_day_close": 70.9000015258789}, {"option": "DRAM261120C00025000", "bid": 26.1, "bid_size": 95.0, "ask": 27.9, "ask_size": 85.0, "iv": 0.9347, "open_interest": 0.0, "volume": 0.0, "delta": 0.9443, "gamma": 0.0039, "vega": 0.0307, "theta": -0.0102, "rho": 0.0647, "theo": 27.1735, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 27.5249996185303}, {"option": "DRAM261120P00025000", "bid": 0.76, "bid_size": 1.0, "ask": 1.16, "ask_size": 2105.0, "iv": 1.0483, "open_interest": 5.0, "volume": 27.0, "delta": -0.0542, "gamma": 0.004, "vega": 0.0308, "theta": -0.0138, "rho": -0.0101, "theo": 0.7896, "change": -0.185, "open": 1.06, "high": 1.06, "low": 0.82, "tick": "up", "last_trade_price": 0.85, "last_trade_time": "2026-08-03T13:41:19", "percent_change": -17.8744, "prev_day_close": 1.03500002622604}, {"option": "DRAM261120C00030000", "bid": 21.65, "bid_size": 815.0, "ask": 23.9, "ask_size": 601.0, "iv": 0.9128, "open_interest": 185.0, "volume": 7.0, "delta": 0.9017, "gamma": 0.0064, "vega": 0.0479, "theta": -0.0178, "rho": 0.0709, "theo": 22.9862, "change": -1.0, "open": 20.93, "high": 22.5, "low": 20.93, "tick": "no_change", "last_trade_price": 22.45, "last_trade_time": "2026-08-03T10:50:06", "percent_change": -4.26439, "prev_day_close": 23.4499998092651}, {"option": "DRAM261120P00030000", "bid": 1.4, "bid_size": 457.0, "ask": 1.7, "ask_size": 961.0, "iv": 0.9607, "open_interest": 1035.0, "volume": 117.0, "delta": -0.097, "gamma": 0.0064, "vega": 0.0481, "theta": -0.0209, "rho": -0.0182, "theo": 1.5377, "change": -0.21, "open": 1.7, "high": 1.7, "low": 1.5, "tick": "no_change", "last_trade_price": 1.54, "last_trade_time": "2026-08-03T14:40:34", "percent_change": -12.0, "prev_day_close": 1.75}, {"option": "DRAM261120C00035000", "bid": 18.2, "bid_size": 1158.0, "ask": 20.0, "ask_size": 809.0, "iv": 0.918, "open_interest": 226.0, "volume": 3.0, "delta": 0.845, "gamma": 0.009, "vega": 0.0662, "theta": -0.0256, "rho": 0.0737, "theo": 19.1908, "change": -0.8, "open": 18.75, "high": 18.75, "low": 18.65, "tick": "down", "last_trade_price": 18.65, "last_trade_time": "2026-08-03T12:40:27", "percent_change": -4.11311, "prev_day_close": 19.4500007629395}, {"option": "DRAM261120P00035000", "bid": 2.46, "bid_size": 515.0, "ask": 2.99, "ask_size": 1462.0, "iv": 0.9386, "open_interest": 4047.0, "volume": 58.0, "delta": -0.1541, "gamma": 0.0091, "vega": 0.0664, "theta": -0.0281, "rho": -0.029, "theo": 2.6802, "change": -0.04, "open": 2.96, "high": 3.25, "low": 2.75, "tick": "up", "last_trade_price": 2.91, "last_trade_time": "2026-08-03T14:25:15", "percent_change": -1.35593, "prev_day_close": 2.95000004768372}, {"option": "DRAM261120C00040000", "bid": 15.65, "bid_size": 153.0, "ask": 16.7, "ask_size": 871.0, "iv": 0.9528, "open_interest": 177.0, "volume": 29.0, "delta": 0.7768, "gamma": 0.0116, "vega": 0.0832, "theta": -0.0327, "rho": 0.0732, "theo": 15.8452, "change": -0.225, "open": 14.0, "high": 16.15, "low": 14.0, "tick": "up", "last_trade_price": 16.15, "last_trade_time": "2026-08-03T14:05:55", "percent_change": -1.37404, "prev_day_close": 16.3749995231628}, {"option": "DRAM261120P00040000", "bid": 4.2, "bid_size": 2.0, "ask": 4.45, "ask_size": 499.0, "iv": 0.9192, "open_interest": 2025.0, "volume": 57.0, "delta": -0.2229, "gamma": 0.0117, "vega": 0.0835, "theta": -0.0346, "rho": -0.0421, "theo": 4.2759, "change": -0.2, "open": 5.0, "high": 5.1, "low": 4.4, "tick": "down", "last_trade_price": 4.4, "last_trade_time": "2026-08-03T12:17:30", "percent_change": -4.34782, "prev_day_close": 4.59999990463257}, {"option": "DRAM261120C00045000", "bid": 12.7, "bid_size": 491.0, "ask": 13.65, "ask_size": 869.0, "iv": 0.9215, "open_interest": 136.0, "volume": 7.0, "delta": 0.7015, "gamma": 0.0137, "vega": 0.0968, "theta": -0.0383, "rho": 0.0701, "theo": 12.9724, "change": -0.515, "open": 11.77, "high": 12.66, "low": 11.72, "tick": "up", "last_trade_price": 12.66, "last_trade_time": "2026-08-03T13:15:17", "percent_change": -3.90892, "prev_day_close": 13.1749997138977}, {"option": "DRAM261120P00045000", "bid": 5.85, "bid_size": 817.0, "ask": 6.85, "ask_size": 1344.0, "iv": 0.9007, "open_interest": 2955.0, "volume": 11.0, "delta": -0.299, "gamma": 0.0138, "vega": 0.097, "theta": -0.0396, "rho": -0.0563, "theo": 6.3491, "change": -0.185, "open": 7.3, "high": 7.3, "low": 6.44, "tick": "down", "last_trade_price": 6.44, "last_trade_time": "2026-08-03T14:27:12", "percent_change": -2.79245, "prev_day_close": 6.625}, {"option": "DRAM261120C00050000", "bid": 10.2, "bid_size": 870.0, "ask": 11.05, "ask_size": 861.0, "iv": 0.8986, "open_interest": 1922.0, "volume": 224.0, "delta": 0.6236, "gamma": 0.0151, "vega": 0.1059, "theta": -0.042, "rho": 0.0652, "theo": 10.5606, "change": -0.135, "open": 9.0, "high": 10.8, "low": 8.8, "tick": "no_change", "last_trade_price": 10.64, "last_trade_time": "2026-08-03T15:57:26", "percent_change": -1.2529, "prev_day_close": 10.7750000953674}, {"option": "DRAM261120P00050000", "bid": 8.55, "bid_size": 636.0, "ask": 9.15, "ask_size": 922.0, "iv": 0.8889, "open_interest": 4424.0, "volume": 428.0, "delta": -0.3779, "gamma": 0.0153, "vega": 0.1061, "theta": -0.0429, "rho": -0.0712, "theo": 8.8882, "change": -0.46, "open": 10.37, "high": 10.37, "low": 8.78, "tick": "no_change", "last_trade_price": 8.84, "last_trade_time": "2026-08-03T15:57:26", "percent_change": -4.94623, "prev_day_close": 9.2999997138977}, {"option": "DRAM261120C00055000", "bid": 8.15, "bid_size": 1011.0, "ask": 9.0, "ask_size": 892.0, "iv": 0.8881, "open_interest": 1003.0, "volume": 130.0, "delta": 0.5476, "gamma": 0.0158, "vega": 0.1106, "theta": -0.044, "rho": 0.0593, "theo": 8.5723, "change": -0.225, "open": 7.23, "high": 8.8, "low": 7.05, "tick": "no_change", "last_trade_price": 8.6, "last_trade_time": "2026-08-03T15:46:48", "percent_change": -2.54957, "prev_day_close": 8.82499980926514}, {"option": "DRAM261120P00055000", "bid": 11.65, "bid_size": 7.0, "ask": 12.05, "ask_size": 333.0, "iv": 0.8872, "open_interest": 8104.0, "volume": 57.0, "delta": -0.4552, "gamma": 0.0161, "vega": 0.1105, "theta": -0.0443, "rho": -0.0848, "theo": 11.8567, "change": -0.425, "open": 13.35, "high": 13.35, "low": 11.75, "tick": "down", "last_trade_price": 11.85, "last_trade_time": "2026-08-03T15:43:32", "percent_change": -3.46232, "prev_day_close": 12.2750000953674}, {"option": "DRAM261120C00060000", "bid": 6.7, "bid_size": 640.0, "ask": 7.3, "ask_size": 828.0, "iv": 0.8899, "open_interest": 2373.0, "volume": 170.0, "delta": 0.4763, "gamma": 0.016, "vega": 0.1112, "theta": -0.0443, "rho": 0.053, "theo": 6.9551, "change": -0.32, "open": 6.14, "high": 7.1, "low": 5.85, "tick": "no_change", "last_trade_price": 6.98, "last_trade_time": "2026-08-03T15:56:37", "percent_change": -4.38356, "prev_day_close": 7.29999995231628}, {"option": "DRAM261120P00060000", "bid": 14.9, "bid_size": 332.0, "ask": 15.45, "ask_size": 418.0, "iv": 0.8834, "open_interest": 3015.0, "volume": 314.0, "delta": -0.5279, "gamma": 0.0163, "vega": 0.1108, "theta": -0.0442, "rho": -0.0972, "theo": 15.2028, "change": -0.23, "open": 16.65, "high": 16.98, "low": 15.32, "tick": "down", "last_trade_price": 15.32, "last_trade_time": "2026-08-03T13:42:32", "percent_change": -1.4791, "prev_day_close": 15.5499997138977}, {"option": "DRAM261120C00065000", "bid": 5.4, "bid_size": 362.0, "ask": 6.0, "ask_size": 931.0, "iv": 0.8903, "open_interest": 1009.0, "volume": 52.0, "delta": 0.4116, "gamma": 0.0156, "vega": 0.1086, "theta": -0.0434, "rho": 0.0468, "theo": 5.6518, "change": -0.3, "open": 4.9, "high": 5.8, "low": 4.88, "tick": "down", "last_trade_price": 5.6, "last_trade_time": "2026-08-03T14:29:50", "percent_change": -5.08475, "prev_day_close": 5.90000009536743}, {"option": "DRAM261120P00065000", "bid": 18.45, "bid_size": 397.0, "ask": 19.2, "ask_size": 513.0, "iv": 0.8818, "open_interest": 706.0, "volume": 1.0, "delta": -0.5942, "gamma": 0.016, "vega": 0.1078, "theta": -0.0428, "rho": -0.1082, "theo": 18.869, "change": -0.375, "open": 18.85, "high": 18.85, "low": 18.85, "tick": "down", "last_trade_price": 18.85, "last_trade_time": "2026-08-03T14:29:06", "percent_change": -1.95059, "prev_day_close": 19.2250003814697}, {"option": "DRAM261120C00070000", "bid": 4.4, "bid_size": 312.0, "ask": 4.85, "ask_size": 799.0, "iv": 0.8892, "open_interest": 6774.0, "volume": 147.0, "delta": 0.3543, "gamma": 0.0149, "vega": 0.1038, "theta": -0.0416, "rho": 0.041, "theo": 4.6068, "change": -0.3, "open": 4.21, "high": 4.8, "low": 3.7, "tick": "down", "last_trade_price": 4.6, "last_trade_time": "2026-08-03T15:46:17", "percent_change": -6.12245, "prev_day_close": 4.89999985694885}, {"option": "DRAM261120P00070000", "bid": 22.25, "bid_size": 519.0, "ask": 23.3, "ask_size": 495.0, "iv": 0.885, "open_interest": 918.0, "volume": 0.0, "delta": -0.6532, "gamma": 0.0154, "vega": 0.1025, "theta": -0.0406, "rho": -0.1166, "theo": 22.8001, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.99, "last_trade_time": "2026-07-31T14:58:02", "percent_change": 0.0, "prev_day_close": 23.1750001907349}, {"option": "DRAM261120C00075000", "bid": 3.4, "bid_size": 720.0, "ask": 4.05, "ask_size": 772.0, "iv": 0.8854, "open_interest": 1222.0, "volume": 100.0, "delta": 0.3043, "gamma": 0.014, "vega": 0.0976, "theta": -0.0393, "rho": 0.0357, "theo": 3.7707, "change": -0.1, "open": 3.5, "high": 3.9, "low": 3.2, "tick": "no_change", "last_trade_price": 3.9, "last_trade_time": "2026-08-03T14:13:08", "percent_change": -2.5, "prev_day_close": 4.0}, {"option": "DRAM261120P00075000", "bid": 26.5, "bid_size": 367.0, "ask": 27.6, "ask_size": 545.0, "iv": 0.901, "open_interest": 83.0, "volume": 2.0, "delta": -0.7051, "gamma": 0.0145, "vega": 0.0953, "theta": -0.0378, "rho": -0.122, "theo": 26.9461, "change": 0.05, "open": 27.9, "high": 27.9, "low": 27.45, "tick": "down", "last_trade_price": 27.45, "last_trade_time": "2026-08-03T12:28:40", "percent_change": 0.18248, "prev_day_close": 27.4000005722046}, {"option": "DRAM261120C00080000", "bid": 2.74, "bid_size": 1115.0, "ask": 3.3, "ask_size": 660.0, "iv": 0.8845, "open_interest": 3020.0, "volume": 42.0, "delta": 0.2613, "gamma": 0.0129, "vega": 0.0907, "theta": -0.0366, "rho": 0.031, "theo": 3.1017, "change": 0.045, "open": 2.84, "high": 3.15, "low": 2.61, "tick": "up", "last_trade_price": 3.15, "last_trade_time": "2026-08-03T14:27:12", "percent_change": 1.44927, "prev_day_close": 3.10500001907349}, {"option": "DRAM261120P00080000", "bid": 30.85, "bid_size": 148.0, "ask": 31.7, "ask_size": 173.0, "iv": 0.8947, "open_interest": 30.0, "volume": 0.0, "delta": -0.7502, "gamma": 0.0136, "vega": 0.0878, "theta": -0.0347, "rho": -0.1274, "theo": 31.2654, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 34.84, "last_trade_time": "2026-07-28T10:03:11", "percent_change": 0.0, "prev_day_close": 31.6749992370606}, {"option": "DRAM261120C00085000", "bid": 2.22, "bid_size": 694.0, "ask": 2.87, "ask_size": 852.0, "iv": 0.8952, "open_interest": 2746.0, "volume": 6.0, "delta": 0.2245, "gamma": 0.0118, "vega": 0.0835, "theta": -0.0338, "rho": 0.0269, "theo": 2.5655, "change": -0.37, "open": 2.25, "high": 2.42, "low": 2.23, "tick": "up", "last_trade_price": 2.42, "last_trade_time": "2026-08-03T13:57:31", "percent_change": -13.2617, "prev_day_close": 2.79000008106232}, {"option": "DRAM261120P00085000", "bid": 34.95, "bid_size": 348.0, "ask": 36.85, "ask_size": 469.0, "iv": 0.9197, "open_interest": 22.0, "volume": 0.0, "delta": -0.789, "gamma": 0.0126, "vega": 0.0795, "theta": -0.0315, "rho": -0.1272, "theo": 35.7237, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 38.75, "last_trade_time": "2026-07-28T10:06:05", "percent_change": 0.0, "prev_day_close": 35.75}, {"option": "DRAM261120C00090000", "bid": 1.84, "bid_size": 1103.0, "ask": 2.32, "ask_size": 712.0, "iv": 0.8951, "open_interest": 4446.0, "volume": 6.0, "delta": 0.1932, "gamma": 0.0108, "vega": 0.0764, "theta": -0.0311, "rho": 0.0233, "theo": 2.134, "change": -0.31, "open": 1.99, "high": 2.2, "low": 1.78, "tick": "down", "last_trade_price": 1.98, "last_trade_time": "2026-08-03T12:40:05", "percent_change": -13.5371, "prev_day_close": 2.28999996185303}, {"option": "DRAM261120P00090000", "bid": 39.6, "bid_size": 342.0, "ask": 41.4, "ask_size": 356.0, "iv": 0.9311, "open_interest": 24.0, "volume": 0.0, "delta": -0.8224, "gamma": 0.0116, "vega": 0.071, "theta": -0.0283, "rho": -0.1262, "theo": 40.292, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 35.6, "last_trade_time": "2026-07-07T10:56:06", "percent_change": 0.0, "prev_day_close": 40.3500003814697}, {"option": "DRAM261120C00095000", "bid": 1.45, "bid_size": 1087.0, "ask": 2.11, "ask_size": 1347.0, "iv": 0.9064, "open_interest": 7034.0, "volume": 4.0, "delta": 0.1667, "gamma": 0.0098, "vega": 0.0697, "theta": -0.0285, "rho": 0.0203, "theo": 1.7854, "change": -0.57, "open": 1.48, "high": 1.66, "low": 1.48, "tick": "up", "last_trade_price": 1.66, "last_trade_time": "2026-08-03T10:49:06", "percent_change": -25.5605, "prev_day_close": 2.23000001907349}, {"option": "DRAM261120P00095000", "bid": 44.3, "bid_size": 343.0, "ask": 46.1, "ask_size": 475.0, "iv": 0.9458, "open_interest": 24.0, "volume": 0.0, "delta": -0.8512, "gamma": 0.0107, "vega": 0.063, "theta": -0.0252, "rho": -0.1231, "theo": 44.9491, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 33.4, "last_trade_time": "2026-06-24T11:14:09", "percent_change": 0.0, "prev_day_close": 44.9499988555908}, {"option": "DRAM261120C00100000", "bid": 1.28, "bid_size": 880.0, "ask": 1.75, "ask_size": 1449.0, "iv": 0.9142, "open_interest": 5674.0, "volume": 12.0, "delta": 0.1442, "gamma": 0.0088, "vega": 0.0632, "theta": -0.026, "rho": 0.0176, "theo": 1.5026, "change": -0.11, "open": 1.4, "high": 1.57, "low": 1.4, "tick": "up", "last_trade_price": 1.57, "last_trade_time": "2026-08-03T14:16:37", "percent_change": -6.54762, "prev_day_close": 1.67999994754791}, {"option": "DRAM261120P00100000", "bid": 48.95, "bid_size": 251.0, "ask": 50.85, "ask_size": 254.0, "iv": 0.9512, "open_interest": 48.0, "volume": 0.0, "delta": -0.8759, "gamma": 0.0098, "vega": 0.0554, "theta": -0.0224, "rho": -0.1188, "theo": 49.6761, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 44.59, "last_trade_time": "2026-07-23T15:08:26", "percent_change": 0.0, "prev_day_close": 49.75}, {"option": "DRAM261120C00105000", "bid": 1.1, "bid_size": 616.0, "ask": 1.45, "ask_size": 994.0, "iv": 0.9181, "open_interest": 2328.0, "volume": 6.0, "delta": 0.1252, "gamma": 0.008, "vega": 0.0574, "theta": -0.0237, "rho": 0.0154, "theo": 1.2716, "change": -0.315, "open": 1.3, "high": 1.3, "low": 1.2, "tick": "down", "last_trade_price": 1.2, "last_trade_time": "2026-08-03T12:06:51", "percent_change": -20.7921, "prev_day_close": 1.51499998569489}, {"option": "DRAM261120P00105000", "bid": 53.75, "bid_size": 78.0, "ask": 55.65, "ask_size": 104.0, "iv": 0.9647, "open_interest": 11.0, "volume": 0.0, "delta": -0.8972, "gamma": 0.009, "vega": 0.0479, "theta": -0.0196, "rho": -0.1116, "theo": 54.4609, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 52.95, "last_trade_time": "2026-07-24T10:40:18", "percent_change": 0.0, "prev_day_close": 54.5}, {"option": "DRAM261120C00110000", "bid": 0.65, "bid_size": 1257.0, "ask": 1.39, "ask_size": 1198.0, "iv": 0.9105, "open_interest": 209.0, "volume": 10.0, "delta": 0.109, "gamma": 0.0072, "vega": 0.052, "theta": -0.0215, "rho": 0.0134, "theo": 1.0823, "change": -0.535, "open": 0.91, "high": 0.91, "low": 0.91, "tick": "down", "last_trade_price": 0.91, "last_trade_time": "2026-08-03T09:50:03", "percent_change": -37.0242, "prev_day_close": 1.44500002264976}, {"option": "DRAM261120P00110000", "bid": 58.5, "bid_size": 79.0, "ask": 60.5, "ask_size": 103.0, "iv": 0.9703, "open_interest": 0.0, "volume": 0.0, "delta": -0.9158, "gamma": 0.0083, "vega": 0.0412, "theta": -0.017, "rho": -0.1052, "theo": 59.2907, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 59.25}, {"option": "DRAM261120C00115000", "bid": 0.53, "bid_size": 1068.0, "ask": 1.27, "ask_size": 1170.0, "iv": 0.9225, "open_interest": 349.0, "volume": 0.0, "delta": 0.0952, "gamma": 0.0065, "vega": 0.0471, "theta": -0.0196, "rho": 0.0118, "theo": 0.926, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.16, "last_trade_time": "2026-07-30T12:28:13", "percent_change": 0.0, "prev_day_close": 1.20500001311302}, {"option": "DRAM261120P00115000", "bid": 63.35, "bid_size": 86.0, "ask": 65.4, "ask_size": 108.0, "iv": 0.9847, "open_interest": 2.0, "volume": 0.0, "delta": -0.9318, "gamma": 0.0077, "vega": 0.0344, "theta": -0.0143, "rho": -0.0933, "theo": 64.1581, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 61.15, "last_trade_time": "2026-07-27T09:35:05", "percent_change": 0.0, "prev_day_close": 64.0999984741211}, {"option": "DRAM261120C00122000", "bid": 0.39, "bid_size": 1591.0, "ask": 0.84, "ask_size": 349.0, "iv": 0.9002, "open_interest": 9356.0, "volume": 2.0, "delta": 0.0793, "gamma": 0.0056, "vega": 0.041, "theta": -0.0172, "rho": 0.0098, "theo": 0.7509, "change": -0.3, "open": 0.64, "high": 0.64, "low": 0.64, "tick": "down", "last_trade_price": 0.64, "last_trade_time": "2026-08-03T09:40:22", "percent_change": -31.9149, "prev_day_close": 0.939999997615814}, {"option": "DRAM261120P00122000", "bid": 70.3, "bid_size": 63.0, "ask": 72.25, "ask_size": 76.0, "iv": 1.0149, "open_interest": 2.0, "volume": 0.0, "delta": -0.9515, "gamma": 0.007, "vega": 0.0262, "theta": -0.0118, "rho": -0.0796, "theo": 71.0237, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 69.4, "last_trade_time": "2026-07-31T09:45:24", "percent_change": 0.0, "prev_day_close": 70.9749984741211}, {"option": "DRAM261218C00020000", "bid": 30.9, "bid_size": 148.0, "ask": 32.75, "ask_size": 233.0, "iv": 1.0069, "open_interest": 78.0, "volume": 0.0, "delta": 0.9664, "gamma": 0.0023, "vega": 0.0222, "theta": -0.0045, "rho": 0.0669, "theo": 31.8055, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.62, "last_trade_time": "2026-07-30T11:32:24", "percent_change": 0.0, "prev_day_close": 32.2000007629394}, {"option": "DRAM261218P00020000", "bid": 0.43, "bid_size": 10.0, "ask": 0.63, "ask_size": 1138.0, "iv": 1.0209, "open_interest": 827.0, "volume": 10.0, "delta": -0.0315, "gamma": 0.0023, "vega": 0.0222, "theta": -0.0079, "rho": -0.0075, "theo": 0.4786, "change": -0.07, "open": 0.61, "high": 0.61, "low": 0.5, "tick": "down", "last_trade_price": 0.5, "last_trade_time": "2026-08-03T13:57:46", "percent_change": -12.2807, "prev_day_close": 0.569999992847443}, {"option": "DRAM261218C00021000", "bid": 29.9, "bid_size": 78.0, "ask": 31.75, "ask_size": 157.0, "iv": 0.9534, "open_interest": 12.0, "volume": 0.0, "delta": 0.9613, "gamma": 0.0026, "vega": 0.0251, "theta": -0.0056, "rho": 0.0695, "theo": 30.9093, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 52.6, "last_trade_time": "2026-06-26T10:57:50", "percent_change": 0.0, "prev_day_close": 31.3249998092651}, {"option": "DRAM261218P00021000", "bid": 0.39, "bid_size": 903.0, "ask": 0.87, "ask_size": 1789.0, "iv": 1.014, "open_interest": 132.0, "volume": 0.0, "delta": -0.0366, "gamma": 0.0026, "vega": 0.0252, "theta": -0.0089, "rho": -0.0087, "theo": 0.5654, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.43, "last_trade_time": "2026-07-30T13:31:54", "percent_change": 0.0, "prev_day_close": 0.729999989271164}, {"option": "DRAM261218C00022000", "bid": 29.0, "bid_size": 109.0, "ask": 30.85, "ask_size": 178.0, "iv": 0.943, "open_interest": 80.0, "volume": 0.0, "delta": 0.9556, "gamma": 0.0029, "vega": 0.0283, "theta": -0.0067, "rho": 0.0718, "theo": 30.0241, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 49.81, "last_trade_time": "2026-06-15T15:12:42", "percent_change": 0.0, "prev_day_close": 30.4250001907349}, {"option": "DRAM261218P00022000", "bid": 0.49, "bid_size": 916.0, "ask": 0.99, "ask_size": 2141.0, "iv": 1.0064, "open_interest": 127.0, "volume": 0.0, "delta": -0.0423, "gamma": 0.0029, "vega": 0.0284, "theta": -0.01, "rho": -0.0101, "theo": 0.6636, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 0.73, "last_trade_time": "2026-07-31T09:30:02", "percent_change": 0.0, "prev_day_close": 0.745000004768372}, {"option": "DRAM261218C00023000", "bid": 28.15, "bid_size": 80.0, "ask": 30.1, "ask_size": 153.0, "iv": 0.9634, "open_interest": 2.0, "volume": 0.0, "delta": 0.9494, "gamma": 0.0033, "vega": 0.0315, "theta": -0.0079, "rho": 0.074, "theo": 29.1506, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 45.15, "last_trade_time": "2026-06-04T13:11:41", "percent_change": 0.0, "prev_day_close": 29.6000003814697}, {"option": "DRAM261218P00023000", "bid": 0.52, "bid_size": 1239.0, "ask": 1.04, "ask_size": 1759.0, "iv": 0.9737, "open_interest": 381.0, "volume": 9.0, "delta": -0.0485, "gamma": 0.0033, "vega": 0.0316, "theta": -0.011, "rho": -0.0116, "theo": 0.7736, "change": -0.07, "open": 0.97, "high": 0.98, "low": 0.81, "tick": "down", "last_trade_price": 0.81, "last_trade_time": "2026-08-03T13:38:31", "percent_change": -7.95455, "prev_day_close": 0.879999995231628}, {"option": "DRAM261218C00024000", "bid": 27.25, "bid_size": 75.0, "ask": 29.05, "ask_size": 79.0, "iv": 0.9223, "open_interest": 9.0, "volume": 0.0, "delta": 0.9427, "gamma": 0.0037, "vega": 0.0349, "theta": -0.0091, "rho": 0.0761, "theo": 28.2894, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.2, "last_trade_time": "2026-07-28T11:46:43", "percent_change": 0.0, "prev_day_close": 28.75}, {"option": "DRAM261218P00024000", "bid": 0.74, "bid_size": 813.0, "ask": 1.21, "ask_size": 1918.0, "iv": 0.9864, "open_interest": 114.0, "volume": 11.0, "delta": -0.0552, "gamma": 0.0037, "vega": 0.035, "theta": -0.0121, "rho": -0.0132, "theo": 0.8959, "change": -0.07, "open": 1.07, "high": 1.07, "low": 0.92, "tick": "down", "last_trade_price": 0.92, "last_trade_time": "2026-08-03T12:19:00", "percent_change": -7.07071, "prev_day_close": 0.990000009536743}, {"option": "DRAM261218C00025000", "bid": 26.9, "bid_size": 26.0, "ask": 28.25, "ask_size": 149.0, "iv": 0.991, "open_interest": 34.0, "volume": 0.0, "delta": 0.9355, "gamma": 0.0041, "vega": 0.0385, "theta": -0.0103, "rho": 0.0779, "theo": 27.4411, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 24.8, "last_trade_time": "2026-07-29T09:38:26", "percent_change": 0.0, "prev_day_close": 27.8249998092651}, {"option": "DRAM261218P00025000", "bid": 0.86, "bid_size": 719.0, "ask": 1.25, "ask_size": 1391.0, "iv": 0.9631, "open_interest": 765.0, "volume": 30.0, "delta": -0.0625, "gamma": 0.0041, "vega": 0.0387, "theta": -0.0133, "rho": -0.015, "theo": 1.0312, "change": -0.115, "open": 1.25, "high": 1.25, "low": 1.01, "tick": "down", "last_trade_price": 1.01, "last_trade_time": "2026-08-03T14:52:47", "percent_change": -10.2222, "prev_day_close": 1.125}, {"option": "DRAM261218C00026000", "bid": 25.55, "bid_size": 79.0, "ask": 27.45, "ask_size": 162.0, "iv": 0.9242, "open_interest": 11.0, "volume": 0.0, "delta": 0.9277, "gamma": 0.0045, "vega": 0.0422, "theta": -0.0116, "rho": 0.0796, "theo": 26.6066, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.86, "last_trade_time": "2026-07-31T12:47:42", "percent_change": 0.0, "prev_day_close": 27.0500001907349}, {"option": "DRAM261218P00026000", "bid": 0.95, "bid_size": 633.0, "ask": 1.31, "ask_size": 525.0, "iv": 0.9376, "open_interest": 999.0, "volume": 2.0, "delta": -0.0704, "gamma": 0.0045, "vega": 0.0423, "theta": -0.0145, "rho": -0.0168, "theo": 1.1821, "change": -0.17, "open": 1.24, "high": 1.24, "low": 1.2, "tick": "down", "last_trade_price": 1.2, "last_trade_time": "2026-08-03T13:15:22", "percent_change": -12.4088, "prev_day_close": 1.37000000476837}, {"option": "DRAM261218C00027000", "bid": 25.25, "bid_size": 31.0, "ask": 26.5, "ask_size": 65.0, "iv": 0.9632, "open_interest": 13.0, "volume": 1.0, "delta": 0.9194, "gamma": 0.0049, "vega": 0.0459, "theta": -0.0129, "rho": 0.0812, "theo": 25.7862, "change": -2.295, "open": 23.93, "high": 23.93, "low": 23.93, "tick": "up", "last_trade_price": 23.93, "last_trade_time": "2026-08-03T10:03:31", "percent_change": -8.75119, "prev_day_close": 26.2250003814697}, {"option": "DRAM261218P00027000", "bid": 1.21, "bid_size": 142.0, "ask": 1.61, "ask_size": 1146.0, "iv": 0.9579, "open_interest": 407.0, "volume": 20.0, "delta": -0.0787, "gamma": 0.005, "vega": 0.0461, "theta": -0.0157, "rho": -0.0188, "theo": 1.3456, "change": -0.17, "open": 1.41, "high": 1.42, "low": 1.27, "tick": "up", "last_trade_price": 1.35, "last_trade_time": "2026-08-03T15:10:31", "percent_change": -11.1842, "prev_day_close": 1.51999998092651}, {"option": "DRAM261218C00028000", "bid": 23.95, "bid_size": 78.0, "ask": 25.65, "ask_size": 59.0, "iv": 0.9008, "open_interest": 34.0, "volume": 0.0, "delta": 0.9106, "gamma": 0.0054, "vega": 0.0498, "theta": -0.0142, "rho": 0.0826, "theo": 24.9807, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 31.5, "last_trade_time": "2026-07-13T14:58:51", "percent_change": 0.0, "prev_day_close": 25.4750003814697}, {"option": "DRAM261218P00028000", "bid": 1.28, "bid_size": 759.0, "ask": 1.9, "ask_size": 1864.0, "iv": 0.9513, "open_interest": 713.0, "volume": 66.0, "delta": -0.0876, "gamma": 0.0054, "vega": 0.05, "theta": -0.0169, "rho": -0.0211, "theo": 1.5241, "change": -0.21, "open": 1.85, "high": 1.87, "low": 1.56, "tick": "down", "last_trade_price": 1.56, "last_trade_time": "2026-08-03T12:41:07", "percent_change": -11.8644, "prev_day_close": 1.76999998092651}, {"option": "DRAM261218C00029000", "bid": 23.15, "bid_size": 87.0, "ask": 25.05, "ask_size": 161.0, "iv": 0.9156, "open_interest": 7.0, "volume": 0.0, "delta": 0.9013, "gamma": 0.0058, "vega": 0.0536, "theta": -0.0155, "rho": 0.0838, "theo": 24.1906, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.5, "last_trade_time": "2026-07-14T09:45:20", "percent_change": 0.0, "prev_day_close": 24.625}, {"option": "DRAM261218P00029000", "bid": 1.54, "bid_size": 511.0, "ask": 1.92, "ask_size": 1147.0, "iv": 0.9349, "open_interest": 116.0, "volume": 5.0, "delta": -0.097, "gamma": 0.0059, "vega": 0.0538, "theta": -0.0181, "rho": -0.0233, "theo": 1.7182, "change": 0.15, "open": 1.92, "high": 1.92, "low": 1.92, "tick": "up", "last_trade_price": 1.92, "last_trade_time": "2026-08-03T13:33:56", "percent_change": 8.47458, "prev_day_close": 1.76999998092651}, {"option": "DRAM261218C00030000", "bid": 22.9, "bid_size": 1013.0, "ask": 24.1, "ask_size": 780.0, "iv": 0.9422, "open_interest": 1579.0, "volume": 0.0, "delta": 0.8915, "gamma": 0.0063, "vega": 0.0575, "theta": -0.0168, "rho": 0.0849, "theo": 23.4162, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 24.13, "last_trade_time": "2026-07-31T10:07:27", "percent_change": 0.0, "prev_day_close": 23.5499992370605}, {"option": "DRAM261218P00030000", "bid": 1.7, "bid_size": 563.0, "ask": 2.2, "ask_size": 1152.0, "iv": 0.9315, "open_interest": 3849.0, "volume": 142.0, "delta": -0.1068, "gamma": 0.0063, "vega": 0.0578, "theta": -0.0193, "rho": -0.0257, "theo": 1.928, "change": -0.25, "open": 2.3, "high": 2.3, "low": 1.88, "tick": "down", "last_trade_price": 1.89, "last_trade_time": "2026-08-03T15:08:44", "percent_change": -11.6822, "prev_day_close": 2.13999992609024}, {"option": "DRAM261218C00031000", "bid": 21.65, "bid_size": 539.0, "ask": 23.3, "ask_size": 264.0, "iv": 0.8927, "open_interest": 31.0, "volume": 0.0, "delta": 0.8813, "gamma": 0.0068, "vega": 0.0615, "theta": -0.0182, "rho": 0.0858, "theo": 22.658, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.48, "last_trade_time": "2026-07-28T15:49:36", "percent_change": 0.0, "prev_day_close": 23.125}, {"option": "DRAM261218P00031000", "bid": 1.8, "bid_size": 1065.0, "ask": 2.55, "ask_size": 1884.0, "iv": 0.9264, "open_interest": 468.0, "volume": 22.0, "delta": -0.1172, "gamma": 0.0068, "vega": 0.0617, "theta": -0.0206, "rho": -0.0283, "theo": 2.1543, "change": 0.01, "open": 2.2, "high": 2.29, "low": 2.2, "tick": "up", "last_trade_price": 2.29, "last_trade_time": "2026-08-03T11:23:20", "percent_change": 0.438598, "prev_day_close": 2.27999997138977}, {"option": "DRAM261218C00032000", "bid": 20.8, "bid_size": 352.0, "ask": 22.6, "ask_size": 205.0, "iv": 0.885, "open_interest": 23.0, "volume": 0.0, "delta": 0.8705, "gamma": 0.0072, "vega": 0.0654, "theta": -0.0195, "rho": 0.0865, "theo": 21.9166, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 19.81, "last_trade_time": "2026-07-28T15:52:17", "percent_change": 0.0, "prev_day_close": 22.4000005722046}, {"option": "DRAM261218P00032000", "bid": 2.07, "bid_size": 983.0, "ask": 2.51, "ask_size": 601.0, "iv": 0.9021, "open_interest": 621.0, "volume": 6.0, "delta": -0.128, "gamma": 0.0073, "vega": 0.0657, "theta": -0.0218, "rho": -0.0309, "theo": 2.3975, "change": -0.23, "open": 2.82, "high": 2.83, "low": 2.37, "tick": "down", "last_trade_price": 2.37, "last_trade_time": "2026-08-03T13:30:03", "percent_change": -8.84615, "prev_day_close": 2.60000002384186}, {"option": "DRAM261218C00033000", "bid": 20.1, "bid_size": 643.0, "ask": 21.85, "ask_size": 353.0, "iv": 0.8828, "open_interest": 28.0, "volume": 0.0, "delta": 0.8594, "gamma": 0.0077, "vega": 0.0693, "theta": -0.0208, "rho": 0.0871, "theo": 21.1921, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 19.13, "last_trade_time": "2026-07-28T15:52:17", "percent_change": 0.0, "prev_day_close": 21.6499996185303}, {"option": "DRAM261218P00033000", "bid": 2.43, "bid_size": 489.0, "ask": 3.35, "ask_size": 2327.0, "iv": 0.9477, "open_interest": 196.0, "volume": 0.0, "delta": -0.1393, "gamma": 0.0078, "vega": 0.0696, "theta": -0.023, "rho": -0.0336, "theo": 2.6576, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.0, "last_trade_time": "2026-07-30T12:21:05", "percent_change": 0.0, "prev_day_close": 2.73500001430511}, {"option": "DRAM261218C00034000", "bid": 19.4, "bid_size": 408.0, "ask": 21.1, "ask_size": 180.0, "iv": 0.8782, "open_interest": 12.0, "volume": 0.0, "delta": 0.8478, "gamma": 0.0081, "vega": 0.0731, "theta": -0.022, "rho": 0.0875, "theo": 20.4847, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.5, "last_trade_time": "2026-07-28T15:50:30", "percent_change": 0.0, "prev_day_close": 20.9750003814697}, {"option": "DRAM261218P00034000", "bid": 2.55, "bid_size": 743.0, "ask": 3.65, "ask_size": 2307.0, "iv": 0.9331, "open_interest": 65.0, "volume": 0.0, "delta": -0.151, "gamma": 0.0082, "vega": 0.0734, "theta": -0.0242, "rho": -0.0365, "theo": 2.9351, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.19, "last_trade_time": "2026-07-31T10:02:58", "percent_change": 0.0, "prev_day_close": 3.04500007629394}, {"option": "DRAM261218C00035000", "bid": 19.05, "bid_size": 555.0, "ask": 20.5, "ask_size": 507.0, "iv": 0.9045, "open_interest": 103.0, "volume": 2.0, "delta": 0.8359, "gamma": 0.0086, "vega": 0.0769, "theta": -0.0233, "rho": 0.0878, "theo": 19.7949, "change": -2.65, "open": 17.5, "high": 17.5, "low": 17.5, "tick": "up", "last_trade_price": 17.5, "last_trade_time": "2026-08-03T09:33:51", "percent_change": -13.1514, "prev_day_close": 20.1500005722046}, {"option": "DRAM261218P00035000", "bid": 3.1, "bid_size": 3.0, "ask": 3.35, "ask_size": 646.0, "iv": 0.9064, "open_interest": 1602.0, "volume": 10.0, "delta": -0.163, "gamma": 0.0087, "vega": 0.0773, "theta": -0.0253, "rho": -0.0395, "theo": 3.2303, "change": -0.14, "open": 3.7, "high": 3.8, "low": 3.21, "tick": "down", "last_trade_price": 3.21, "last_trade_time": "2026-08-03T15:22:25", "percent_change": -4.17911, "prev_day_close": 3.35000002384186}, {"option": "DRAM261218C00036000", "bid": 18.1, "bid_size": 1104.0, "ask": 19.7, "ask_size": 605.0, "iv": 0.876, "open_interest": 262.0, "volume": 1.0, "delta": 0.8236, "gamma": 0.009, "vega": 0.0806, "theta": -0.0245, "rho": 0.088, "theo": 19.1228, "change": -0.275, "open": 19.35, "high": 19.35, "low": 19.35, "tick": "down", "last_trade_price": 19.35, "last_trade_time": "2026-08-03T15:45:00", "percent_change": -1.40127, "prev_day_close": 19.625}, {"option": "DRAM261218P00036000", "bid": 3.15, "bid_size": 949.0, "ask": 3.9, "ask_size": 1369.0, "iv": 0.9015, "open_interest": 132.0, "volume": 31.0, "delta": -0.1754, "gamma": 0.0091, "vega": 0.0809, "theta": -0.0264, "rho": -0.0425, "theo": 3.5434, "change": -0.12, "open": 3.7, "high": 3.7, "low": 3.58, "tick": "down", "last_trade_price": 3.58, "last_trade_time": "2026-08-03T12:40:24", "percent_change": -3.24324, "prev_day_close": 3.70000004768372}, {"option": "DRAM261218C00037000", "bid": 17.35, "bid_size": 866.0, "ask": 19.2, "ask_size": 518.0, "iv": 0.8776, "open_interest": 60.0, "volume": 0.0, "delta": 0.811, "gamma": 0.0095, "vega": 0.0842, "theta": -0.0257, "rho": 0.088, "theo": 18.4684, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.67, "last_trade_time": "2026-07-28T15:50:56", "percent_change": 0.0, "prev_day_close": 19.0500001907349}, {"option": "DRAM261218P00037000", "bid": 3.6, "bid_size": 515.0, "ask": 4.75, "ask_size": 2352.0, "iv": 0.9361, "open_interest": 195.0, "volume": 0.0, "delta": -0.1882, "gamma": 0.0096, "vega": 0.0845, "theta": -0.0276, "rho": -0.0456, "theo": 3.8743, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.1, "last_trade_time": "2026-07-31T15:58:36", "percent_change": 0.0, "prev_day_close": 4.10000002384186}, {"option": "DRAM261218C00038000", "bid": 17.25, "bid_size": 1015.0, "ask": 18.65, "ask_size": 897.0, "iv": 0.9114, "open_interest": 560.0, "volume": 1.0, "delta": 0.7981, "gamma": 0.0099, "vega": 0.0877, "theta": -0.0268, "rho": 0.0879, "theo": 17.8317, "change": -0.35, "open": 18.0, "high": 18.0, "low": 18.0, "tick": "down", "last_trade_price": 18.0, "last_trade_time": "2026-08-03T15:24:55", "percent_change": -1.90735, "prev_day_close": 18.3499994277954}, {"option": "DRAM261218P00038000", "bid": 3.75, "bid_size": 1061.0, "ask": 5.15, "ask_size": 2779.0, "iv": 0.9236, "open_interest": 1728.0, "volume": 5.0, "delta": -0.2012, "gamma": 0.01, "vega": 0.088, "theta": -0.0286, "rho": -0.0488, "theo": 4.2232, "change": 0.42, "open": 4.8, "high": 4.82, "low": 4.8, "tick": "no_change", "last_trade_price": 4.82, "last_trade_time": "2026-08-03T10:10:33", "percent_change": 9.54545, "prev_day_close": 4.39999997615814}, {"option": "DRAM261218C00039000", "bid": 16.25, "bid_size": 639.0, "ask": 17.8, "ask_size": 296.0, "iv": 0.8745, "open_interest": 39.0, "volume": 0.0, "delta": 0.7849, "gamma": 0.0103, "vega": 0.0911, "theta": -0.0279, "rho": 0.0877, "theo": 17.2129, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.8, "last_trade_time": "2026-07-29T14:42:19", "percent_change": 0.0, "prev_day_close": 17.75}, {"option": "DRAM261218P00039000", "bid": 4.3, "bid_size": 535.0, "ask": 4.9, "ask_size": 1388.0, "iv": 0.8963, "open_interest": 292.0, "volume": 0.0, "delta": -0.2145, "gamma": 0.0104, "vega": 0.0915, "theta": -0.0296, "rho": -0.0521, "theo": 4.5903, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.0, "last_trade_time": "2026-07-31T11:01:25", "percent_change": 0.0, "prev_day_close": 4.72499990463257}, {"option": "DRAM261218C00040000", "bid": 16.2, "bid_size": 840.0, "ask": 17.95, "ask_size": 1266.0, "iv": 0.9417, "open_interest": 1467.0, "volume": 34.0, "delta": 0.7715, "gamma": 0.0107, "vega": 0.0943, "theta": -0.029, "rho": 0.0873, "theo": 16.6121, "change": -0.2, "open": 14.35, "high": 16.75, "low": 14.35, "tick": "up", "last_trade_price": 16.75, "last_trade_time": "2026-08-03T15:02:13", "percent_change": -1.17994, "prev_day_close": 16.9499998092651}, {"option": "DRAM261218P00040000", "bid": 4.6, "bid_size": 818.0, "ask": 5.1, "ask_size": 557.0, "iv": 0.8795, "open_interest": 5182.0, "volume": 96.0, "delta": -0.2281, "gamma": 0.0108, "vega": 0.0947, "theta": -0.0306, "rho": -0.0554, "theo": 4.9754, "change": -0.325, "open": 5.75, "high": 5.75, "low": 4.85, "tick": "down", "last_trade_price": 4.85, "last_trade_time": "2026-08-03T15:53:36", "percent_change": -6.28019, "prev_day_close": 5.17499995231628}, {"option": "DRAM261218C00041000", "bid": 14.9, "bid_size": 634.0, "ask": 16.65, "ask_size": 359.0, "iv": 0.8643, "open_interest": 15.0, "volume": 0.0, "delta": 0.7579, "gamma": 0.0111, "vega": 0.0974, "theta": -0.03, "rho": 0.0869, "theo": 16.029, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.35, "last_trade_time": "2026-07-09T14:27:29", "percent_change": 0.0, "prev_day_close": 16.6000003814697}, {"option": "DRAM261218P00041000", "bid": 4.95, "bid_size": 859.0, "ask": 5.95, "ask_size": 1858.0, "iv": 0.8978, "open_interest": 390.0, "volume": 1.0, "delta": -0.2418, "gamma": 0.0112, "vega": 0.0978, "theta": -0.0315, "rho": -0.0587, "theo": 5.3783, "change": 0.5, "open": 6.0, "high": 6.0, "low": 6.0, "tick": "down", "last_trade_price": 6.0, "last_trade_time": "2026-08-03T09:30:11", "percent_change": 9.09091, "prev_day_close": 5.5}, {"option": "DRAM261218C00042000", "bid": 14.65, "bid_size": 1131.0, "ask": 16.15, "ask_size": 840.0, "iv": 0.882, "open_interest": 207.0, "volume": 1.0, "delta": 0.7442, "gamma": 0.0114, "vega": 0.1003, "theta": -0.0309, "rho": 0.0864, "theo": 15.4633, "change": -2.3, "open": 13.75, "high": 13.75, "low": 13.75, "tick": "up", "last_trade_price": 13.75, "last_trade_time": "2026-08-03T09:40:17", "percent_change": -14.3302, "prev_day_close": 16.0500001907349}, {"option": "DRAM261218P00042000", "bid": 5.5, "bid_size": 400.0, "ask": 5.85, "ask_size": 105.0, "iv": 0.876, "open_interest": 144.0, "volume": 0.0, "delta": -0.2558, "gamma": 0.0116, "vega": 0.1007, "theta": -0.0324, "rho": -0.0621, "theo": 5.799, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.65, "last_trade_time": "2026-07-30T10:43:22", "percent_change": 0.0, "prev_day_close": 6.07500004768372}, {"option": "DRAM261218C00043000", "bid": 14.7, "bid_size": 202.0, "ask": 15.5, "ask_size": 597.0, "iv": 0.9043, "open_interest": 120.0, "volume": 0.0, "delta": 0.7303, "gamma": 0.0118, "vega": 0.1031, "theta": -0.0318, "rho": 0.0857, "theo": 14.9152, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.09, "last_trade_time": "2026-07-31T12:18:01", "percent_change": 0.0, "prev_day_close": 15.5}, {"option": "DRAM261218P00043000", "bid": 5.7, "bid_size": 966.0, "ask": 6.3, "ask_size": 103.0, "iv": 0.8634, "open_interest": 190.0, "volume": 11.0, "delta": -0.2698, "gamma": 0.012, "vega": 0.1035, "theta": -0.0332, "rho": -0.0656, "theo": 6.2376, "change": -0.075, "open": 6.5, "high": 6.5, "low": 6.4, "tick": "down", "last_trade_price": 6.4, "last_trade_time": "2026-08-03T12:37:12", "percent_change": -1.1583, "prev_day_close": 6.47499990463257}, {"option": "DRAM261218C00044000", "bid": 14.05, "bid_size": 541.0, "ask": 15.15, "ask_size": 846.0, "iv": 0.905, "open_interest": 402.0, "volume": 4.0, "delta": 0.7164, "gamma": 0.0121, "vega": 0.1057, "theta": -0.0326, "rho": 0.085, "theo": 14.3846, "change": -1.75, "open": 13.6, "high": 13.6, "low": 12.7, "tick": "up", "last_trade_price": 13.15, "last_trade_time": "2026-08-03T10:12:05", "percent_change": -11.745, "prev_day_close": 14.9000000953674}, {"option": "DRAM261218P00044000", "bid": 6.25, "bid_size": 853.0, "ask": 6.9, "ask_size": 808.0, "iv": 0.8734, "open_interest": 176.0, "volume": 2.0, "delta": -0.284, "gamma": 0.0123, "vega": 0.1061, "theta": -0.034, "rho": -0.069, "theo": 6.6938, "change": 0.35, "open": 7.5, "high": 7.5, "low": 7.15, "tick": "down", "last_trade_price": 7.15, "last_trade_time": "2026-08-03T11:28:51", "percent_change": 5.14706, "prev_day_close": 6.79999995231628}, {"option": "DRAM261218C00045000", "bid": 13.5, "bid_size": 743.0, "ask": 14.5, "ask_size": 901.0, "iv": 0.8949, "open_interest": 3099.0, "volume": 13.0, "delta": 0.7023, "gamma": 0.0124, "vega": 0.1082, "theta": -0.0334, "rho": 0.0842, "theo": 13.871, "change": -1.495, "open": 12.49, "high": 12.54, "low": 12.4, "tick": "down", "last_trade_price": 12.48, "last_trade_time": "2026-08-03T10:07:39", "percent_change": -10.6977, "prev_day_close": 13.9749999046326}, {"option": "DRAM261218P00045000", "bid": 6.7, "bid_size": 874.0, "ask": 7.3, "ask_size": 637.0, "iv": 0.8676, "open_interest": 5975.0, "volume": 16.0, "delta": -0.2982, "gamma": 0.0126, "vega": 0.1085, "theta": -0.0347, "rho": -0.0724, "theo": 7.1672, "change": -0.285, "open": 8.15, "high": 8.15, "low": 7.1, "tick": "up", "last_trade_price": 7.14, "last_trade_time": "2026-08-03T15:22:25", "percent_change": -3.83838, "prev_day_close": 7.42499995231628}, {"option": "DRAM261218C00046000", "bid": 12.2, "bid_size": 1626.0, "ask": 14.2, "ask_size": 1175.0, "iv": 0.8657, "open_interest": 12378.0, "volume": 2.0, "delta": 0.6882, "gamma": 0.0127, "vega": 0.1104, "theta": -0.0342, "rho": 0.0834, "theo": 13.374, "change": -1.25, "open": 11.99, "high": 12.55, "low": 11.99, "tick": "up", "last_trade_price": 12.55, "last_trade_time": "2026-08-03T09:45:33", "percent_change": -9.05797, "prev_day_close": 13.8000001907349}, {"option": "DRAM261218P00046000", "bid": 7.3, "bid_size": 689.0, "ask": 8.2, "ask_size": 1569.0, "iv": 0.8898, "open_interest": 6813.0, "volume": 2.0, "delta": -0.3126, "gamma": 0.0129, "vega": 0.1108, "theta": -0.0353, "rho": -0.0759, "theo": 7.6576, "change": -0.335, "open": 8.62, "high": 8.62, "low": 7.59, "tick": "down", "last_trade_price": 7.59, "last_trade_time": "2026-08-03T14:26:41", "percent_change": -4.22713, "prev_day_close": 7.9249997138977}, {"option": "DRAM261218C00047000", "bid": 12.2, "bid_size": 854.0, "ask": 13.4, "ask_size": 608.0, "iv": 0.8718, "open_interest": 2012.0, "volume": 0.0, "delta": 0.6741, "gamma": 0.013, "vega": 0.1125, "theta": -0.0348, "rho": 0.0824, "theo": 12.8936, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.2, "last_trade_time": "2026-07-30T10:44:41", "percent_change": 0.0, "prev_day_close": 13.3499999046326}, {"option": "DRAM261218P00047000", "bid": 7.8, "bid_size": 365.0, "ask": 8.65, "ask_size": 1444.0, "iv": 0.8854, "open_interest": 84.0, "volume": 0.0, "delta": -0.3269, "gamma": 0.0132, "vega": 0.1128, "theta": -0.0359, "rho": -0.0796, "theo": 8.1647, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.41, "last_trade_time": "2026-07-31T15:13:32", "percent_change": 0.0, "prev_day_close": 8.29999995231628}, {"option": "DRAM261218C00048000", "bid": 12.05, "bid_size": 751.0, "ask": 13.1, "ask_size": 955.0, "iv": 0.8916, "open_interest": 1346.0, "volume": 4.0, "delta": 0.66, "gamma": 0.0132, "vega": 0.1144, "theta": -0.0355, "rho": 0.0814, "theo": 12.4296, "change": -0.725, "open": 11.05, "high": 12.0, "low": 11.05, "tick": "up", "last_trade_price": 12.0, "last_trade_time": "2026-08-03T11:05:41", "percent_change": -5.69745, "prev_day_close": 12.7249999046326}, {"option": "DRAM261218P00048000", "bid": 8.3, "bid_size": 481.0, "ask": 8.9, "ask_size": 972.0, "iv": 0.8711, "open_interest": 1250.0, "volume": 2.0, "delta": -0.3412, "gamma": 0.0134, "vega": 0.1147, "theta": -0.0365, "rho": -0.083, "theo": 8.6887, "change": -0.22, "open": 9.5, "high": 9.5, "low": 8.63, "tick": "down", "last_trade_price": 8.63, "last_trade_time": "2026-08-03T13:45:05", "percent_change": -2.48587, "prev_day_close": 8.84999990463257}, {"option": "DRAM261218C00049000", "bid": 11.75, "bid_size": 357.0, "ask": 12.6, "ask_size": 929.0, "iv": 0.8944, "open_interest": 1560.0, "volume": 6.0, "delta": 0.6459, "gamma": 0.0134, "vega": 0.1162, "theta": -0.036, "rho": 0.0803, "theo": 11.9816, "change": -1.75, "open": 10.7, "high": 11.0, "low": 10.7, "tick": "down", "last_trade_price": 10.75, "last_trade_time": "2026-08-03T10:05:46", "percent_change": -14.0, "prev_day_close": 12.5}, {"option": "DRAM261218P00049000", "bid": 8.8, "bid_size": 603.0, "ask": 9.35, "ask_size": 340.0, "iv": 0.8645, "open_interest": 295.0, "volume": 18.0, "delta": -0.3555, "gamma": 0.0136, "vega": 0.1164, "theta": -0.037, "rho": -0.0862, "theo": 9.2286, "change": 0.35, "open": 9.33, "high": 9.7, "low": 9.33, "tick": "no_change", "last_trade_price": 9.7, "last_trade_time": "2026-08-03T11:35:02", "percent_change": 3.74332, "prev_day_close": 9.34999990463257}, {"option": "DRAM261218C00050000", "bid": 11.5, "bid_size": 1.0, "ask": 12.0, "ask_size": 611.0, "iv": 0.8938, "open_interest": 4449.0, "volume": 1575.0, "delta": 0.6319, "gamma": 0.0136, "vega": 0.1178, "theta": -0.0365, "rho": 0.0793, "theo": 11.549, "change": -0.125, "open": 10.6, "high": 11.9, "low": 9.96, "tick": "up", "last_trade_price": 11.65, "last_trade_time": "2026-08-03T15:31:41", "percent_change": -1.06157, "prev_day_close": 11.7749996185303}, {"option": "DRAM261218P00050000", "bid": 9.4, "bid_size": 633.0, "ask": 9.7, "ask_size": 1.0, "iv": 0.8568, "open_interest": 14343.0, "volume": 173.0, "delta": -0.3698, "gamma": 0.0139, "vega": 0.118, "theta": -0.0374, "rho": -0.0895, "theo": 9.7843, "change": -0.55, "open": 11.19, "high": 11.2, "low": 9.55, "tick": "down", "last_trade_price": 9.55, "last_trade_time": "2026-08-03T15:49:32", "percent_change": -5.44555, "prev_day_close": 10.1000003814697}, {"option": "DRAM261218C00051000", "bid": 10.85, "bid_size": 472.0, "ask": 11.3, "ask_size": 13.0, "iv": 0.8715, "open_interest": 1513.0, "volume": 26.0, "delta": 0.6179, "gamma": 0.0138, "vega": 0.1191, "theta": -0.037, "rho": 0.0781, "theo": 11.1256, "change": -0.075, "open": 10.0, "high": 11.2, "low": 9.55, "tick": "up", "last_trade_price": 11.2, "last_trade_time": "2026-08-03T15:57:10", "percent_change": -0.665189, "prev_day_close": 11.2750000953674}, {"option": "DRAM261218P00051000", "bid": 9.85, "bid_size": 544.0, "ask": 10.65, "ask_size": 983.0, "iv": 0.8669, "open_interest": 178.0, "volume": 2.0, "delta": -0.384, "gamma": 0.014, "vega": 0.1194, "theta": -0.0378, "rho": -0.0931, "theo": 10.3555, "change": -0.45, "open": 10.52, "high": 10.52, "low": 10.25, "tick": "down", "last_trade_price": 10.25, "last_trade_time": "2026-08-03T15:43:11", "percent_change": -4.20561, "prev_day_close": 10.6999998092651}, {"option": "DRAM261218C00052000", "bid": 10.5, "bid_size": 349.0, "ask": 11.0, "ask_size": 414.0, "iv": 0.8772, "open_interest": 870.0, "volume": 25.0, "delta": 0.604, "gamma": 0.014, "vega": 0.1204, "theta": -0.0374, "rho": 0.0769, "theo": 10.7232, "change": -0.275, "open": 9.34, "high": 10.8, "low": 9.34, "tick": "no_change", "last_trade_price": 10.7, "last_trade_time": "2026-08-03T15:59:12", "percent_change": -2.5057, "prev_day_close": 10.9750003814697}, {"option": "DRAM261218P00052000", "bid": 10.55, "bid_size": 569.0, "ask": 11.9, "ask_size": 1736.0, "iv": 0.8984, "open_interest": 274.0, "volume": 2174.0, "delta": -0.3981, "gamma": 0.0142, "vega": 0.1205, "theta": -0.0381, "rho": -0.0965, "theo": 10.9417, "change": 0.3, "open": 11.55, "high": 11.85, "low": 11.35, "tick": "down", "last_trade_price": 11.35, "last_trade_time": "2026-08-03T12:01:57", "percent_change": 2.71493, "prev_day_close": 11.0500001907349}, {"option": "DRAM261218C00053000", "bid": 10.15, "bid_size": 123.0, "ask": 10.65, "ask_size": 536.0, "iv": 0.8795, "open_interest": 678.0, "volume": 3.0, "delta": 0.5903, "gamma": 0.0141, "vega": 0.1214, "theta": -0.0377, "rho": 0.0756, "theo": 10.3354, "change": 0.075, "open": 10.1, "high": 10.95, "low": 10.1, "tick": "up", "last_trade_price": 10.95, "last_trade_time": "2026-08-03T14:35:28", "percent_change": 0.689655, "prev_day_close": 10.875}, {"option": "DRAM261218P00053000", "bid": 10.95, "bid_size": 788.0, "ask": 12.0, "ask_size": 947.0, "iv": 0.8686, "open_interest": 242.0, "volume": 1.0, "delta": -0.412, "gamma": 0.0144, "vega": 0.1216, "theta": -0.0384, "rho": -0.0999, "theo": 11.5431, "change": 0.04, "open": 11.84, "high": 11.84, "low": 11.84, "tick": "up", "last_trade_price": 11.84, "last_trade_time": "2026-08-03T12:17:31", "percent_change": 0.338985, "prev_day_close": 11.7999997138977}, {"option": "DRAM261218C00054000", "bid": 8.95, "bid_size": 1574.0, "ask": 10.4, "ask_size": 817.0, "iv": 0.8501, "open_interest": 1190.0, "volume": 10.0, "delta": 0.5768, "gamma": 0.0142, "vega": 0.1223, "theta": -0.038, "rho": 0.0744, "theo": 9.9618, "change": -0.495, "open": 9.58, "high": 9.58, "low": 9.58, "tick": "down", "last_trade_price": 9.58, "last_trade_time": "2026-08-03T12:41:36", "percent_change": -4.91315, "prev_day_close": 10.0750002861023}, {"option": "DRAM261218P00054000", "bid": 11.6, "bid_size": 736.0, "ask": 12.45, "ask_size": 708.0, "iv": 0.8627, "open_interest": 560.0, "volume": 5.0, "delta": -0.4259, "gamma": 0.0145, "vega": 0.1224, "theta": -0.0386, "rho": -0.1028, "theo": 12.1585, "change": -0.025, "open": 12.51, "high": 12.51, "low": 12.45, "tick": "down", "last_trade_price": 12.45, "last_trade_time": "2026-08-03T14:06:47", "percent_change": -0.2004, "prev_day_close": 12.4749999046326}, {"option": "DRAM261218C00055000", "bid": 9.3, "bid_size": 652.0, "ask": 9.95, "ask_size": 687.0, "iv": 0.8749, "open_interest": 3065.0, "volume": 90.0, "delta": 0.5633, "gamma": 0.0143, "vega": 0.1231, "theta": -0.0383, "rho": 0.0732, "theo": 9.6017, "change": -0.175, "open": 8.5, "high": 9.9, "low": 8.5, "tick": "no_change", "last_trade_price": 9.6, "last_trade_time": "2026-08-03T15:56:21", "percent_change": -1.79028, "prev_day_close": 9.77500009536743}, {"option": "DRAM261218P00055000", "bid": 12.35, "bid_size": 421.0, "ask": 13.3, "ask_size": 1218.0, "iv": 0.876, "open_interest": 3348.0, "volume": 4.0, "delta": -0.4396, "gamma": 0.0146, "vega": 0.1231, "theta": -0.0388, "rho": -0.1059, "theo": 12.788, "change": -0.175, "open": 12.8, "high": 12.8, "low": 12.75, "tick": "down", "last_trade_price": 12.75, "last_trade_time": "2026-08-03T15:27:56", "percent_change": -1.35397, "prev_day_close": 12.9250001907349}, {"option": "DRAM261218C00056000", "bid": 9.0, "bid_size": 347.0, "ask": 9.55, "ask_size": 582.0, "iv": 0.8742, "open_interest": 1495.0, "volume": 3.0, "delta": 0.55, "gamma": 0.0144, "vega": 0.1237, "theta": -0.0385, "rho": 0.0719, "theo": 9.2548, "change": -0.525, "open": 8.6, "high": 9.25, "low": 8.6, "tick": "no_change", "last_trade_price": 9.25, "last_trade_time": "2026-08-03T14:38:28", "percent_change": -5.37084, "prev_day_close": 9.77500009536743}, {"option": "DRAM261218P00056000", "bid": 13.0, "bid_size": 384.0, "ask": 13.6, "ask_size": 299.0, "iv": 0.8619, "open_interest": 201.0, "volume": 0.0, "delta": -0.4532, "gamma": 0.0147, "vega": 0.1236, "theta": -0.0389, "rho": -0.1092, "theo": 13.4309, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 17.1, "last_trade_time": "2026-07-29T12:47:15", "percent_change": 0.0, "prev_day_close": 13.6999998092651}, {"option": "DRAM261218C00057000", "bid": 8.55, "bid_size": 832.0, "ask": 9.3, "ask_size": 822.0, "iv": 0.8724, "open_interest": 1270.0, "volume": 168.0, "delta": 0.537, "gamma": 0.0144, "vega": 0.1241, "theta": -0.0386, "rho": 0.0706, "theo": 8.9208, "change": -0.2, "open": 8.65, "high": 9.15, "low": 7.3, "tick": "down", "last_trade_price": 8.95, "last_trade_time": "2026-08-03T15:57:54", "percent_change": -2.18579, "prev_day_close": 9.15000009536743}, {"option": "DRAM261218P00057000", "bid": 13.65, "bid_size": 222.0, "ask": 14.3, "ask_size": 338.0, "iv": 0.8631, "open_interest": 138.0, "volume": 0.0, "delta": -0.4666, "gamma": 0.0148, "vega": 0.124, "theta": -0.039, "rho": -0.1126, "theo": 14.0869, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.7, "last_trade_time": "2026-07-30T15:07:40", "percent_change": 0.0, "prev_day_close": 14.3499999046326}, {"option": "DRAM261218C00058000", "bid": 8.2, "bid_size": 521.0, "ask": 9.0, "ask_size": 826.0, "iv": 0.8718, "open_interest": 1507.0, "volume": 40.0, "delta": 0.5241, "gamma": 0.0145, "vega": 0.1244, "theta": -0.0388, "rho": 0.0693, "theo": 8.5995, "change": -0.42, "open": 8.35, "high": 8.73, "low": 7.75, "tick": "up", "last_trade_price": 8.73, "last_trade_time": "2026-08-03T14:09:55", "percent_change": -4.59017, "prev_day_close": 9.15000009536743}, {"option": "DRAM261218P00058000", "bid": 14.1, "bid_size": 685.0, "ask": 15.45, "ask_size": 967.0, "iv": 0.8733, "open_interest": 654.0, "volume": 0.0, "delta": -0.4798, "gamma": 0.0148, "vega": 0.1242, "theta": -0.0391, "rho": -0.1152, "theo": 14.7562, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.4, "last_trade_time": "2026-07-30T12:30:23", "percent_change": 0.0, "prev_day_close": 14.9000000953674}, {"option": "DRAM261218C00059000", "bid": 7.9, "bid_size": 750.0, "ask": 8.5, "ask_size": 450.0, "iv": 0.8643, "open_interest": 14200.0, "volume": 20.0, "delta": 0.5114, "gamma": 0.0145, "vega": 0.1246, "theta": -0.0388, "rho": 0.0679, "theo": 8.2903, "change": -0.175, "open": 7.0, "high": 8.4, "low": 7.0, "tick": "up", "last_trade_price": 8.4, "last_trade_time": "2026-08-03T15:52:43", "percent_change": -2.04082, "prev_day_close": 8.5750002861023}, {"option": "DRAM261218P00059000", "bid": 14.95, "bid_size": 452.0, "ask": 16.2, "ask_size": 903.0, "iv": 0.8826, "open_interest": 231.0, "volume": 4.0, "delta": -0.4928, "gamma": 0.0149, "vega": 0.1243, "theta": -0.0391, "rho": -0.1181, "theo": 15.4375, "change": 0.27, "open": 15.8, "high": 15.95, "low": 15.8, "tick": "down", "last_trade_price": 15.87, "last_trade_time": "2026-08-03T12:17:41", "percent_change": 1.73077, "prev_day_close": 15.5999999046326}, {"option": "DRAM261218C00060000", "bid": 7.75, "bid_size": 292.0, "ask": 8.6, "ask_size": 1106.0, "iv": 0.8859, "open_interest": 11090.0, "volume": 199.0, "delta": 0.4989, "gamma": 0.0145, "vega": 0.1247, "theta": -0.0389, "rho": 0.0666, "theo": 7.9928, "change": -0.235, "open": 7.65, "high": 8.1, "low": 6.82, "tick": "up", "last_trade_price": 8.04, "last_trade_time": "2026-08-03T15:55:21", "percent_change": -2.83988, "prev_day_close": 8.27500009536743}, {"option": "DRAM261218P00060000", "bid": 15.7, "bid_size": 350.0, "ask": 16.45, "ask_size": 978.0, "iv": 0.8668, "open_interest": 4532.0, "volume": 2.0, "delta": -0.5056, "gamma": 0.0149, "vega": 0.1243, "theta": -0.039, "rho": -0.1209, "theo": 16.1309, "change": 0.13, "open": 17.15, "high": 17.15, "low": 16.63, "tick": "down", "last_trade_price": 16.63, "last_trade_time": "2026-08-03T12:11:27", "percent_change": 0.787879, "prev_day_close": 16.5}, {"option": "DRAM261218C00061000", "bid": 7.3, "bid_size": 607.0, "ask": 8.0, "ask_size": 665.0, "iv": 0.8666, "open_interest": 195.0, "volume": 1.0, "delta": 0.4866, "gamma": 0.0145, "vega": 0.1246, "theta": -0.0389, "rho": 0.0654, "theo": 7.7065, "change": -0.425, "open": 7.8, "high": 7.8, "low": 7.8, "tick": "down", "last_trade_price": 7.8, "last_trade_time": "2026-08-03T11:15:35", "percent_change": -5.16717, "prev_day_close": 8.22500014305115}, {"option": "DRAM261218P00061000", "bid": 16.4, "bid_size": 196.0, "ask": 17.7, "ask_size": 655.0, "iv": 0.8884, "open_interest": 74.0, "volume": 1.0, "delta": -0.5183, "gamma": 0.0149, "vega": 0.1242, "theta": -0.039, "rho": -0.1236, "theo": 16.8358, "change": 1.22, "open": 18.47, "high": 18.47, "low": 18.47, "tick": "up", "last_trade_price": 18.47, "last_trade_time": "2026-08-03T09:39:51", "percent_change": 7.07246, "prev_day_close": 17.25}, {"option": "DRAM261218C00062000", "bid": 7.1, "bid_size": 497.0, "ask": 7.7, "ask_size": 598.0, "iv": 0.8686, "open_interest": 580.0, "volume": 3.0, "delta": 0.4746, "gamma": 0.0145, "vega": 0.1244, "theta": -0.0388, "rho": 0.064, "theo": 7.431, "change": -0.75, "open": 6.8, "high": 7.1, "low": 6.8, "tick": "down", "last_trade_price": 6.85, "last_trade_time": "2026-08-03T11:21:45", "percent_change": -9.86842, "prev_day_close": 7.60000014305115}, {"option": "DRAM261218P00062000", "bid": 17.05, "bid_size": 345.0, "ask": 18.4, "ask_size": 733.0, "iv": 0.885, "open_interest": 341.0, "volume": 0.0, "delta": -0.5307, "gamma": 0.0149, "vega": 0.1239, "theta": -0.0389, "rho": -0.1267, "theo": 17.5518, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.6, "last_trade_time": "2026-07-28T10:00:10", "percent_change": 0.0, "prev_day_close": 17.7749996185303}, {"option": "DRAM261218C00063000", "bid": 6.95, "bid_size": 258.0, "ask": 7.65, "ask_size": 1000.0, "iv": 0.8818, "open_interest": 281.0, "volume": 0.0, "delta": 0.4627, "gamma": 0.0144, "vega": 0.1241, "theta": -0.0388, "rho": 0.0627, "theo": 7.1661, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.35, "last_trade_time": "2026-07-31T10:35:56", "percent_change": 0.0, "prev_day_close": 7.7000002861023}, {"option": "DRAM261218P00063000", "bid": 17.8, "bid_size": 190.0, "ask": 19.25, "ask_size": 594.0, "iv": 0.891, "open_interest": 45.0, "volume": 0.0, "delta": -0.5428, "gamma": 0.0149, "vega": 0.1235, "theta": -0.0387, "rho": -0.1287, "theo": 18.2786, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.9, "last_trade_time": "2026-07-24T15:34:29", "percent_change": 0.0, "prev_day_close": 18.5}, {"option": "DRAM261218C00064000", "bid": 5.75, "bid_size": 1475.0, "ask": 7.4, "ask_size": 970.0, "iv": 0.8438, "open_interest": 212.0, "volume": 1.0, "delta": 0.4511, "gamma": 0.0144, "vega": 0.1237, "theta": -0.0386, "rho": 0.0614, "theo": 6.9116, "change": -0.63, "open": 6.62, "high": 6.62, "low": 6.62, "tick": "down", "last_trade_price": 6.62, "last_trade_time": "2026-08-03T10:42:31", "percent_change": -8.68966, "prev_day_close": 7.25}, {"option": "DRAM261218P00064000", "bid": 18.45, "bid_size": 463.0, "ask": 20.0, "ask_size": 929.0, "iv": 0.888, "open_interest": 310.0, "volume": 0.0, "delta": -0.5548, "gamma": 0.0149, "vega": 0.123, "theta": -0.0386, "rho": -0.1315, "theo": 19.0164, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.4, "last_trade_time": "2026-07-29T15:57:14", "percent_change": 0.0, "prev_day_close": 19.1749992370605}, {"option": "DRAM261218C00065000", "bid": 6.4, "bid_size": 592.0, "ask": 7.1, "ask_size": 999.0, "iv": 0.8779, "open_interest": 3022.0, "volume": 61.0, "delta": 0.4398, "gamma": 0.0144, "vega": 0.1232, "theta": -0.0385, "rho": 0.0601, "theo": 6.6669, "change": -0.5, "open": 5.84, "high": 6.86, "low": 5.84, "tick": "down", "last_trade_price": 6.65, "last_trade_time": "2026-08-03T15:56:44", "percent_change": -6.99301, "prev_day_close": 7.14999985694885}, {"option": "DRAM261218P00065000", "bid": 19.25, "bid_size": 444.0, "ask": 20.25, "ask_size": 928.0, "iv": 0.87, "open_interest": 1260.0, "volume": 10.0, "delta": -0.5665, "gamma": 0.0148, "vega": 0.1224, "theta": -0.0384, "rho": -0.1337, "theo": 19.7639, "change": -0.05, "open": 19.75, "high": 19.75, "low": 19.75, "tick": "down", "last_trade_price": 19.75, "last_trade_time": "2026-08-03T13:39:56", "percent_change": -0.252526, "prev_day_close": 19.8000001907349}, {"option": "DRAM261218C00066000", "bid": 6.2, "bid_size": 110.0, "ask": 6.9, "ask_size": 1032.0, "iv": 0.8809, "open_interest": 137.0, "volume": 0.0, "delta": 0.4286, "gamma": 0.0143, "vega": 0.1226, "theta": -0.0384, "rho": 0.0588, "theo": 6.4316, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.7, "last_trade_time": "2026-07-31T12:04:25", "percent_change": 0.0, "prev_day_close": 6.89999985694885}, {"option": "DRAM261218P00066000", "bid": 19.95, "bid_size": 286.0, "ask": 21.3, "ask_size": 586.0, "iv": 0.8798, "open_interest": 158.0, "volume": 0.0, "delta": -0.578, "gamma": 0.0148, "vega": 0.1216, "theta": -0.0382, "rho": -0.136, "theo": 20.5212, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.92, "last_trade_time": "2026-07-31T11:05:39", "percent_change": 0.0, "prev_day_close": 20.7250003814697}, {"option": "DRAM261218C00067000", "bid": 5.7, "bid_size": 996.0, "ask": 6.45, "ask_size": 699.0, "iv": 0.8607, "open_interest": 742.0, "volume": 1.0, "delta": 0.4178, "gamma": 0.0142, "vega": 0.122, "theta": -0.0382, "rho": 0.0576, "theo": 6.2052, "change": -0.225, "open": 6.2, "high": 6.2, "low": 6.2, "tick": "down", "last_trade_price": 6.2, "last_trade_time": "2026-08-03T14:33:29", "percent_change": -3.50194, "prev_day_close": 6.42499995231628}, {"option": "DRAM261218P00067000", "bid": 20.7, "bid_size": 440.0, "ask": 22.25, "ask_size": 800.0, "iv": 0.8868, "open_interest": 333.0, "volume": 0.0, "delta": -0.5893, "gamma": 0.0147, "vega": 0.1209, "theta": -0.0379, "rho": -0.1384, "theo": 21.2879, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.47, "last_trade_time": "2026-07-27T09:59:42", "percent_change": 0.0, "prev_day_close": 21.6999998092651}, {"option": "DRAM261218C00068000", "bid": 5.75, "bid_size": 140.0, "ask": 6.3, "ask_size": 732.0, "iv": 0.8747, "open_interest": 356.0, "volume": 21.0, "delta": 0.4071, "gamma": 0.0141, "vega": 0.1213, "theta": -0.038, "rho": 0.0563, "theo": 5.9876, "change": -0.825, "open": 5.25, "high": 5.8, "low": 5.25, "tick": "up", "last_trade_price": 5.8, "last_trade_time": "2026-08-03T13:13:51", "percent_change": -12.4528, "prev_day_close": 6.625}, {"option": "DRAM261218P00068000", "bid": 21.55, "bid_size": 244.0, "ask": 23.0, "ask_size": 560.0, "iv": 0.8892, "open_interest": 17.0, "volume": 0.0, "delta": -0.6003, "gamma": 0.0146, "vega": 0.12, "theta": -0.0376, "rho": -0.1407, "theo": 22.0635, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.32, "last_trade_time": "2026-07-28T10:47:49", "percent_change": 0.0, "prev_day_close": 22.3500003814697}, {"option": "DRAM261218C00069000", "bid": 5.45, "bid_size": 635.0, "ask": 6.1, "ask_size": 854.0, "iv": 0.8715, "open_interest": 622.0, "volume": 4.0, "delta": 0.3967, "gamma": 0.014, "vega": 0.1204, "theta": -0.0377, "rho": 0.055, "theo": 5.7784, "change": -0.625, "open": 4.9, "high": 5.66, "low": 4.9, "tick": "down", "last_trade_price": 5.6, "last_trade_time": "2026-08-03T12:47:41", "percent_change": -10.0402, "prev_day_close": 6.22499990463257}, {"option": "DRAM261218P00069000", "bid": 22.3, "bid_size": 290.0, "ask": 23.75, "ask_size": 847.0, "iv": 0.8872, "open_interest": 527.0, "volume": 0.0, "delta": -0.611, "gamma": 0.0146, "vega": 0.1191, "theta": -0.0373, "rho": -0.1428, "theo": 22.8418, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.93, "last_trade_time": "2026-07-29T09:55:15", "percent_change": 0.0, "prev_day_close": 22.9000005722046}, {"option": "DRAM261218C00070000", "bid": 5.25, "bid_size": 767.0, "ask": 6.05, "ask_size": 1055.0, "iv": 0.8781, "open_interest": 5777.0, "volume": 321.0, "delta": 0.3865, "gamma": 0.0139, "vega": 0.1196, "theta": -0.0375, "rho": 0.0538, "theo": 5.5774, "change": -0.25, "open": 4.85, "high": 5.75, "low": 4.75, "tick": "no_change", "last_trade_price": 5.6, "last_trade_time": "2026-08-03T15:40:35", "percent_change": -4.27351, "prev_day_close": 5.85000014305115}, {"option": "DRAM261218P00070000", "bid": 23.15, "bid_size": 222.0, "ask": 24.0, "ask_size": 510.0, "iv": 0.867, "open_interest": 1280.0, "volume": 5.0, "delta": -0.6216, "gamma": 0.0145, "vega": 0.118, "theta": -0.037, "rho": -0.1438, "theo": 23.6347, "change": 0.54, "open": 23.89, "high": 24.34, "low": 23.89, "tick": "up", "last_trade_price": 24.34, "last_trade_time": "2026-08-03T11:49:47", "percent_change": 2.26891, "prev_day_close": 23.8000001907349}, {"option": "DRAM261218C00071000", "bid": 4.35, "bid_size": 1512.0, "ask": 6.0, "ask_size": 1235.0, "iv": 0.8546, "open_interest": 266.0, "volume": 0.0, "delta": 0.3766, "gamma": 0.0138, "vega": 0.1186, "theta": -0.0372, "rho": 0.0526, "theo": 5.3843, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.15, "last_trade_time": "2026-07-31T10:33:43", "percent_change": 0.0, "prev_day_close": 5.82500004768372}, {"option": "DRAM261218P00071000", "bid": 23.9, "bid_size": 197.0, "ask": 25.5, "ask_size": 441.0, "iv": 0.8949, "open_interest": 27.0, "volume": 0.0, "delta": -0.6319, "gamma": 0.0144, "vega": 0.117, "theta": -0.0367, "rho": -0.1454, "theo": 24.4355, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.5, "last_trade_time": "2026-07-30T09:50:16", "percent_change": 0.0, "prev_day_close": 24.6500005722046}, {"option": "DRAM261218C00072000", "bid": 4.8, "bid_size": 829.0, "ask": 5.6, "ask_size": 998.0, "iv": 0.8728, "open_interest": 241.0, "volume": 11.0, "delta": 0.3669, "gamma": 0.0137, "vega": 0.1176, "theta": -0.0369, "rho": 0.0514, "theo": 5.1987, "change": -0.575, "open": 4.75, "high": 5.0, "low": 4.75, "tick": "up", "last_trade_price": 5.0, "last_trade_time": "2026-08-03T14:59:57", "percent_change": -10.3139, "prev_day_close": 5.57500004768372}, {"option": "DRAM261218P00072000", "bid": 24.75, "bid_size": 197.0, "ask": 26.3, "ask_size": 532.0, "iv": 0.8969, "open_interest": 11.0, "volume": 0.0, "delta": -0.642, "gamma": 0.0143, "vega": 0.1158, "theta": -0.0363, "rho": -0.1475, "theo": 25.2442, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.52, "last_trade_time": "2026-07-21T11:20:44", "percent_change": 0.0, "prev_day_close": 25.4499998092651}, {"option": "DRAM261218C00073000", "bid": 4.7, "bid_size": 736.0, "ask": 5.35, "ask_size": 945.0, "iv": 0.8735, "open_interest": 110.0, "volume": 5.0, "delta": 0.3574, "gamma": 0.0135, "vega": 0.1166, "theta": -0.0366, "rho": 0.0502, "theo": 5.0202, "change": -0.8, "open": 4.6, "high": 4.9, "low": 4.6, "tick": "up", "last_trade_price": 4.9, "last_trade_time": "2026-08-03T15:12:28", "percent_change": -14.0351, "prev_day_close": 5.70000004768372}, {"option": "DRAM261218P00073000", "bid": 25.6, "bid_size": 194.0, "ask": 27.15, "ask_size": 722.0, "iv": 0.9004, "open_interest": 111.0, "volume": 0.0, "delta": -0.6519, "gamma": 0.0142, "vega": 0.1146, "theta": -0.036, "rho": -0.1494, "theo": 26.0602, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.05, "last_trade_time": "2026-07-29T09:49:20", "percent_change": 0.0, "prev_day_close": 26.5}, {"option": "DRAM261218C00074000", "bid": 4.55, "bid_size": 400.0, "ask": 5.15, "ask_size": 734.0, "iv": 0.8736, "open_interest": 128.0, "volume": 8.0, "delta": 0.3482, "gamma": 0.0134, "vega": 0.1155, "theta": -0.0363, "rho": 0.0491, "theo": 4.8485, "change": -0.825, "open": 4.4, "high": 4.55, "low": 4.38, "tick": "down", "last_trade_price": 4.45, "last_trade_time": "2026-08-03T11:56:24", "percent_change": -15.6398, "prev_day_close": 5.27500009536743}, {"option": "DRAM261218P00074000", "bid": 26.3, "bid_size": 250.0, "ask": 27.85, "ask_size": 559.0, "iv": 0.8903, "open_interest": 11.0, "volume": 0.0, "delta": -0.6615, "gamma": 0.014, "vega": 0.1134, "theta": -0.0356, "rho": -0.1507, "theo": 26.8834, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.24, "last_trade_time": "2026-07-14T12:35:10", "percent_change": 0.0, "prev_day_close": 27.1999998092651}, {"option": "DRAM261218C00075000", "bid": 4.2, "bid_size": 853.0, "ask": 4.8, "ask_size": 111.0, "iv": 0.8578, "open_interest": 7903.0, "volume": 24.0, "delta": 0.3392, "gamma": 0.0133, "vega": 0.1144, "theta": -0.0359, "rho": 0.048, "theo": 4.6834, "change": -0.15, "open": 4.2, "high": 4.7, "low": 4.13, "tick": "up", "last_trade_price": 4.7, "last_trade_time": "2026-08-03T15:44:46", "percent_change": -3.09279, "prev_day_close": 4.85000014305115}, {"option": "DRAM261218P00075000", "bid": 27.1, "bid_size": 387.0, "ask": 28.1, "ask_size": 421.0, "iv": 0.8637, "open_interest": 165.0, "volume": 0.0, "delta": -0.6709, "gamma": 0.0139, "vega": 0.1121, "theta": -0.0352, "rho": -0.1529, "theo": 27.7134, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.87, "last_trade_time": "2026-07-31T10:41:08", "percent_change": 0.0, "prev_day_close": 27.8249998092651}, {"option": "DRAM261218C00076000", "bid": 3.7, "bid_size": 1362.0, "ask": 4.9, "ask_size": 1093.0, "iv": 0.8543, "open_interest": 84.0, "volume": 0.0, "delta": 0.3305, "gamma": 0.0131, "vega": 0.1132, "theta": -0.0356, "rho": 0.0468, "theo": 4.5247, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.7, "last_trade_time": "2026-07-31T09:45:01", "percent_change": 0.0, "prev_day_close": 5.25}, {"option": "DRAM261218P00076000", "bid": 27.85, "bid_size": 353.0, "ask": 29.6, "ask_size": 565.0, "iv": 0.8901, "open_interest": 23.0, "volume": 0.0, "delta": -0.6801, "gamma": 0.0138, "vega": 0.1107, "theta": -0.0348, "rho": -0.154, "theo": 28.5498, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 29.38, "last_trade_time": "2026-07-30T10:49:06", "percent_change": 0.0, "prev_day_close": 28.6999998092651}, {"option": "DRAM261218C00077000", "bid": 3.8, "bid_size": 1128.0, "ask": 4.8, "ask_size": 1194.0, "iv": 0.8683, "open_interest": 119.0, "volume": 8.0, "delta": 0.3219, "gamma": 0.013, "vega": 0.112, "theta": -0.0352, "rho": 0.0457, "theo": 4.3723, "change": -0.895, "open": 4.15, "high": 4.18, "low": 4.15, "tick": "up", "last_trade_price": 4.18, "last_trade_time": "2026-08-03T12:54:27", "percent_change": -17.6355, "prev_day_close": 5.07500004768372}, {"option": "DRAM261218P00077000", "bid": 28.85, "bid_size": 263.0, "ask": 29.85, "ask_size": 429.0, "iv": 0.8708, "open_interest": 146.0, "volume": 0.0, "delta": -0.6891, "gamma": 0.0137, "vega": 0.1091, "theta": -0.0344, "rho": -0.1542, "theo": 29.3932, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.77, "last_trade_time": "2026-07-29T09:59:46", "percent_change": 0.0, "prev_day_close": 29.4750003814697}, {"option": "DRAM261218C00078000", "bid": 3.4, "bid_size": 1400.0, "ask": 4.55, "ask_size": 1037.0, "iv": 0.8524, "open_interest": 140.0, "volume": 1.0, "delta": 0.3136, "gamma": 0.0128, "vega": 0.1107, "theta": -0.0349, "rho": 0.0446, "theo": 4.2257, "change": -1.345, "open": 3.58, "high": 3.58, "low": 3.58, "tick": "down", "last_trade_price": 3.58, "last_trade_time": "2026-08-03T09:33:46", "percent_change": -27.3096, "prev_day_close": 4.92499995231628}, {"option": "DRAM261218P00078000", "bid": 29.65, "bid_size": 212.0, "ask": 31.3, "ask_size": 447.0, "iv": 0.8968, "open_interest": 30.0, "volume": 0.0, "delta": -0.6979, "gamma": 0.0135, "vega": 0.1079, "theta": -0.0339, "rho": -0.1554, "theo": 30.2426, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.53, "last_trade_time": "2026-07-28T10:12:14", "percent_change": 0.0, "prev_day_close": 30.3000001907349}, {"option": "DRAM261218C00079000", "bid": 3.2, "bid_size": 1472.0, "ask": 4.35, "ask_size": 814.0, "iv": 0.8472, "open_interest": 24.0, "volume": 0.0, "delta": 0.3055, "gamma": 0.0127, "vega": 0.1095, "theta": -0.0345, "rho": 0.0436, "theo": 4.0848, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.0, "last_trade_time": "2026-07-29T12:05:13", "percent_change": 0.0, "prev_day_close": 4.77500009536743}, {"option": "DRAM261218P00079000", "bid": 30.55, "bid_size": 174.0, "ask": 32.15, "ask_size": 445.0, "iv": 0.8994, "open_interest": 3.0, "volume": 0.0, "delta": -0.7064, "gamma": 0.0134, "vega": 0.1063, "theta": -0.0335, "rho": -0.1564, "theo": 31.0979, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.95, "last_trade_time": "2026-07-14T12:35:33", "percent_change": 0.0, "prev_day_close": 31.1999998092651}, {"option": "DRAM261218C00080000", "bid": 3.85, "bid_size": 22.0, "ask": 4.2, "ask_size": 969.0, "iv": 0.8834, "open_interest": 3317.0, "volume": 111.0, "delta": 0.2976, "gamma": 0.0125, "vega": 0.1082, "theta": -0.0341, "rho": 0.0426, "theo": 3.9492, "change": -0.225, "open": 3.4, "high": 4.0, "low": 3.4, "tick": "no_change", "last_trade_price": 3.9, "last_trade_time": "2026-08-03T15:56:06", "percent_change": -5.45455, "prev_day_close": 4.125}, {"option": "DRAM261218P00080000", "bid": 31.45, "bid_size": 308.0, "ask": 32.3, "ask_size": 380.0, "iv": 0.8683, "open_interest": 1331.0, "volume": 12.0, "delta": -0.7148, "gamma": 0.0132, "vega": 0.1049, "theta": -0.0331, "rho": -0.1576, "theo": 31.9588, "change": -0.65, "open": 31.6, "high": 31.6, "low": 31.6, "tick": "down", "last_trade_price": 31.6, "last_trade_time": "2026-08-03T14:13:07", "percent_change": -2.0155, "prev_day_close": 32.25}, {"option": "DRAM261218C00081000", "bid": 3.5, "bid_size": 643.0, "ask": 4.1, "ask_size": 983.0, "iv": 0.8751, "open_interest": 1365.0, "volume": 8.0, "delta": 0.29, "gamma": 0.0124, "vega": 0.1069, "theta": -0.0337, "rho": 0.0416, "theo": 3.8188, "change": -0.82, "open": 3.55, "high": 3.63, "low": 3.51, "tick": "up", "last_trade_price": 3.63, "last_trade_time": "2026-08-03T13:12:17", "percent_change": -18.427, "prev_day_close": 4.45000004768372}, {"option": "DRAM261218P00081000", "bid": 32.15, "bid_size": 308.0, "ask": 33.6, "ask_size": 502.0, "iv": 0.8817, "open_interest": 71.0, "volume": 0.0, "delta": -0.7229, "gamma": 0.0131, "vega": 0.1034, "theta": -0.0326, "rho": -0.1584, "theo": 32.8252, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.76, "last_trade_time": "2026-07-09T14:22:49", "percent_change": 0.0, "prev_day_close": 33.25}, {"option": "DRAM261218C00082000", "bid": 3.35, "bid_size": 562.0, "ask": 3.85, "ask_size": 452.0, "iv": 0.8686, "open_interest": 808.0, "volume": 0.0, "delta": 0.2825, "gamma": 0.0122, "vega": 0.1056, "theta": -0.0333, "rho": 0.0406, "theo": 3.6933, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.6, "last_trade_time": "2026-07-31T10:25:58", "percent_change": 0.0, "prev_day_close": 3.875}, {"option": "DRAM261218P00082000", "bid": 33.05, "bid_size": 223.0, "ask": 34.75, "ask_size": 400.0, "iv": 0.8973, "open_interest": 16.0, "volume": 0.0, "delta": -0.7308, "gamma": 0.013, "vega": 0.1019, "theta": -0.0322, "rho": -0.1591, "theo": 33.6967, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 33.08, "last_trade_time": "2026-07-16T13:07:37", "percent_change": 0.0, "prev_day_close": 33.8999996185303}, {"option": "DRAM261218C00083000", "bid": 3.1, "bid_size": 1056.0, "ask": 4.35, "ask_size": 1598.0, "iv": 0.8926, "open_interest": 53.0, "volume": 0.0, "delta": 0.2752, "gamma": 0.012, "vega": 0.1043, "theta": -0.0329, "rho": 0.0397, "theo": 3.5725, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 3.8, "last_trade_time": "2026-07-31T10:52:54", "percent_change": 0.0, "prev_day_close": 4.30000007152557}, {"option": "DRAM261218P00083000", "bid": 33.95, "bid_size": 151.0, "ask": 35.65, "ask_size": 361.0, "iv": 0.9005, "open_interest": 0.0, "volume": 0.0, "delta": -0.7386, "gamma": 0.0128, "vega": 0.1004, "theta": -0.0317, "rho": -0.1609, "theo": 34.5731, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 34.625}, {"option": "DRAM261218C00084000", "bid": 2.9, "bid_size": 1191.0, "ask": 3.5, "ask_size": 1.0, "iv": 0.8534, "open_interest": 331.0, "volume": 37.0, "delta": 0.2681, "gamma": 0.0119, "vega": 0.1029, "theta": -0.0325, "rho": 0.0387, "theo": 3.4564, "change": -0.85, "open": 3.0, "high": 3.15, "low": 3.0, "tick": "down", "last_trade_price": 3.1, "last_trade_time": "2026-08-03T11:10:21", "percent_change": -21.519, "prev_day_close": 3.94999992847443}, {"option": "DRAM261218P00084000", "bid": 34.75, "bid_size": 187.0, "ask": 36.5, "ask_size": 377.0, "iv": 0.8959, "open_interest": 8.0, "volume": 0.0, "delta": -0.7461, "gamma": 0.0127, "vega": 0.0987, "theta": -0.0312, "rho": -0.1607, "theo": 35.4543, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 35.53, "last_trade_time": "2026-07-16T15:24:31", "percent_change": 0.0, "prev_day_close": 35.5249996185303}, {"option": "DRAM261218C00085000", "bid": 3.2, "bid_size": 7.0, "ask": 3.6, "ask_size": 906.0, "iv": 0.8847, "open_interest": 12230.0, "volume": 32.0, "delta": 0.2613, "gamma": 0.0117, "vega": 0.1015, "theta": -0.0321, "rho": 0.0378, "theo": 3.3446, "change": -0.45, "open": 3.01, "high": 3.3, "low": 3.01, "tick": "up", "last_trade_price": 3.3, "last_trade_time": "2026-08-03T15:34:30", "percent_change": -12.0, "prev_day_close": 3.74999988079071}, {"option": "DRAM261218P00085000", "bid": 35.75, "bid_size": 150.0, "ask": 37.2, "ask_size": 355.0, "iv": 0.8931, "open_interest": 23.0, "volume": 0.0, "delta": -0.7534, "gamma": 0.0125, "vega": 0.0969, "theta": -0.0308, "rho": -0.16, "theo": 36.3405, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.76, "last_trade_time": "2026-07-21T14:26:08", "percent_change": 0.0, "prev_day_close": 36.3500003814697}, {"option": "DRAM261218C00086000", "bid": 2.52, "bid_size": 1293.0, "ask": 3.5, "ask_size": 914.0, "iv": 0.8569, "open_interest": 30.0, "volume": 0.0, "delta": 0.2546, "gamma": 0.0115, "vega": 0.1001, "theta": -0.0317, "rho": 0.0369, "theo": 3.2372, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 4.45, "last_trade_time": "2026-07-27T10:05:26", "percent_change": 0.0, "prev_day_close": 3.90000009536743}, {"option": "DRAM261218P00086000", "bid": 36.5, "bid_size": 126.0, "ask": 38.3, "ask_size": 307.0, "iv": 0.8975, "open_interest": 1.0, "volume": 0.0, "delta": -0.7606, "gamma": 0.0124, "vega": 0.0954, "theta": -0.0303, "rho": -0.1604, "theo": 37.2312, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 39.05, "last_trade_time": "2026-07-17T09:34:59", "percent_change": 0.0, "prev_day_close": 37.3000011444092}, {"option": "DRAM261218C00087000", "bid": 2.4, "bid_size": 1313.0, "ask": 3.4, "ask_size": 920.0, "iv": 0.8565, "open_interest": 35.0, "volume": 0.0, "delta": 0.2481, "gamma": 0.0114, "vega": 0.0988, "theta": -0.0313, "rho": 0.036, "theo": 3.1338, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.05, "last_trade_time": "2026-07-28T11:45:33", "percent_change": 0.0, "prev_day_close": 3.75000011920929}, {"option": "DRAM261218P00087000", "bid": 37.45, "bid_size": 172.0, "ask": 39.2, "ask_size": 302.0, "iv": 0.9016, "open_interest": 0.0, "volume": 0.0, "delta": -0.7676, "gamma": 0.0122, "vega": 0.0937, "theta": -0.0298, "rho": -0.1605, "theo": 38.1263, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.2000007629394}, {"option": "DRAM261218C00088000", "bid": 2.36, "bid_size": 1278.0, "ask": 3.4, "ask_size": 1157.0, "iv": 0.8652, "open_interest": 72.0, "volume": 3.0, "delta": 0.2418, "gamma": 0.0112, "vega": 0.0974, "theta": -0.0309, "rho": 0.0351, "theo": 3.0343, "change": -0.725, "open": 2.9, "high": 2.9, "low": 2.9, "tick": "down", "last_trade_price": 2.9, "last_trade_time": "2026-08-03T10:44:21", "percent_change": -20.0, "prev_day_close": 3.62499988079071}, {"option": "DRAM261218P00088000", "bid": 38.4, "bid_size": 155.0, "ask": 40.1, "ask_size": 352.0, "iv": 0.9054, "open_interest": 0.0, "volume": 0.0, "delta": -0.7744, "gamma": 0.0121, "vega": 0.0922, "theta": -0.0294, "rho": -0.1609, "theo": 39.0254, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.9750003814697}, {"option": "DRAM261218C00089000", "bid": 2.27, "bid_size": 1114.0, "ask": 3.3, "ask_size": 972.0, "iv": 0.8657, "open_interest": 7.0, "volume": 0.0, "delta": 0.2356, "gamma": 0.011, "vega": 0.0961, "theta": -0.0304, "rho": 0.0343, "theo": 2.9384, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 4.44, "last_trade_time": "2026-07-20T15:47:32", "percent_change": 0.0, "prev_day_close": 3.52499997615814}, {"option": "DRAM261218P00089000", "bid": 39.3, "bid_size": 149.0, "ask": 41.0, "ask_size": 287.0, "iv": 0.9061, "open_interest": 1.0, "volume": 0.0, "delta": -0.781, "gamma": 0.0119, "vega": 0.0906, "theta": -0.0289, "rho": -0.1616, "theo": 39.9284, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 39.38, "last_trade_time": "2026-07-16T14:04:06", "percent_change": 0.0, "prev_day_close": 39.8999996185303}, {"option": "DRAM261218C00090000", "bid": 2.69, "bid_size": 1.0, "ask": 3.2, "ask_size": 1233.0, "iv": 0.893, "open_interest": 4169.0, "volume": 17.0, "delta": 0.2296, "gamma": 0.0109, "vega": 0.0947, "theta": -0.03, "rho": 0.0335, "theo": 2.846, "change": -0.19, "open": 2.58, "high": 2.81, "low": 2.55, "tick": "no_change", "last_trade_price": 2.81, "last_trade_time": "2026-08-03T15:20:40", "percent_change": -6.33333, "prev_day_close": 3.0}, {"option": "DRAM261218P00090000", "bid": 40.2, "bid_size": 188.0, "ask": 41.9, "ask_size": 374.0, "iv": 0.9065, "open_interest": 57.0, "volume": 1.0, "delta": -0.7875, "gamma": 0.0118, "vega": 0.089, "theta": -0.0284, "rho": -0.1612, "theo": 40.835, "change": 2.25, "open": 43.15, "high": 43.15, "low": 43.15, "tick": "up", "last_trade_price": 43.15, "last_trade_time": "2026-08-03T09:52:57", "percent_change": 5.50122, "prev_day_close": 40.8999996185303}, {"option": "DRAM261218C00095000", "bid": 2.13, "bid_size": 837.0, "ask": 2.77, "ask_size": 1191.0, "iv": 0.8881, "open_interest": 193.0, "volume": 111.0, "delta": 0.2022, "gamma": 0.0101, "vega": 0.0879, "theta": -0.028, "rho": 0.0297, "theo": 2.4328, "change": -0.28, "open": 2.14, "high": 2.41, "low": 2.03, "tick": "up", "last_trade_price": 2.41, "last_trade_time": "2026-08-03T15:44:19", "percent_change": -10.4089, "prev_day_close": 2.68999993801117}, {"option": "DRAM261218P00095000", "bid": 44.8, "bid_size": 104.0, "ask": 46.5, "ask_size": 227.0, "iv": 0.9141, "open_interest": 2.0, "volume": 0.0, "delta": -0.8174, "gamma": 0.0111, "vega": 0.0807, "theta": -0.0261, "rho": -0.1588, "theo": 45.4208, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 35.93, "last_trade_time": "2026-06-04T15:31:30", "percent_change": 0.0, "prev_day_close": 45.9750003814697}, {"option": "DRAM261218C00100000", "bid": 1.82, "bid_size": 727.0, "ask": 2.46, "ask_size": 1436.0, "iv": 0.8961, "open_interest": 1891.0, "volume": 2854.0, "delta": 0.1783, "gamma": 0.0093, "vega": 0.0814, "theta": -0.026, "rho": 0.0264, "theo": 2.0894, "change": -0.17, "open": 1.88, "high": 2.07, "low": 1.56, "tick": "up", "last_trade_price": 1.96, "last_trade_time": "2026-08-03T15:08:59", "percent_change": -7.98122, "prev_day_close": 2.12999999523163}, {"option": "DRAM261218P00100000", "bid": 49.45, "bid_size": 169.0, "ask": 51.1, "ask_size": 390.0, "iv": 0.9159, "open_interest": 42.0, "volume": 0.0, "delta": -0.8438, "gamma": 0.0104, "vega": 0.0727, "theta": -0.0238, "rho": -0.1545, "theo": 50.0828, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 44.1, "last_trade_time": "2026-07-02T13:01:27", "percent_change": 0.0, "prev_day_close": 50.5499992370606}, {"option": "DRAM261218C00105000", "bid": 1.31, "bid_size": 957.0, "ask": 2.15, "ask_size": 1088.0, "iv": 0.8839, "open_interest": 607.0, "volume": 2.0, "delta": 0.1577, "gamma": 0.0085, "vega": 0.0752, "theta": -0.0241, "rho": 0.0234, "theo": 1.8025, "change": -0.18, "open": 1.75, "high": 1.75, "low": 1.7, "tick": "down", "last_trade_price": 1.7, "last_trade_time": "2026-08-03T12:17:54", "percent_change": -9.57447, "prev_day_close": 1.87999999523163}, {"option": "DRAM261218P00105000", "bid": 54.1, "bid_size": 181.0, "ask": 55.9, "ask_size": 281.0, "iv": 0.9229, "open_interest": 24.0, "volume": 0.0, "delta": -0.867, "gamma": 0.0097, "vega": 0.0646, "theta": -0.0216, "rho": -0.1495, "theo": 54.8064, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 48.15, "last_trade_time": "2026-07-02T11:19:22", "percent_change": 0.0, "prev_day_close": 54.7250003814697}, {"option": "DRAM261218C00110000", "bid": 1.35, "bid_size": 369.0, "ask": 1.84, "ask_size": 936.0, "iv": 0.9025, "open_interest": 172.0, "volume": 7.0, "delta": 0.1398, "gamma": 0.0078, "vega": 0.0693, "theta": -0.0223, "rho": 0.0209, "theo": 1.5621, "change": 0.005, "open": 1.45, "high": 1.75, "low": 1.45, "tick": "up", "last_trade_price": 1.75, "last_trade_time": "2026-08-03T10:57:23", "percent_change": 0.286536, "prev_day_close": 1.74499994516373}, {"option": "DRAM261218P00110000", "bid": 58.75, "bid_size": 118.0, "ask": 60.65, "ask_size": 189.0, "iv": 0.918, "open_interest": 0.0, "volume": 0.0, "delta": -0.8877, "gamma": 0.0091, "vega": 0.0571, "theta": -0.0196, "rho": -0.1425, "theo": 59.5829, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 59.5749988555908}, {"option": "DRAM261218C00115000", "bid": 1.1, "bid_size": 650.0, "ask": 1.66, "ask_size": 1069.0, "iv": 0.9049, "open_interest": 201.0, "volume": 3.0, "delta": 0.1242, "gamma": 0.0072, "vega": 0.0639, "theta": -0.0206, "rho": 0.0186, "theo": 1.3595, "change": -0.29, "open": 1.2, "high": 1.29, "low": 1.2, "tick": "down", "last_trade_price": 1.28, "last_trade_time": "2026-08-03T14:51:37", "percent_change": -18.4713, "prev_day_close": 1.56999999284744}, {"option": "DRAM261218P00115000", "bid": 63.9, "bid_size": 13.0, "ask": 64.95, "ask_size": 31.0, "iv": 0.9066, "open_interest": 1.0, "volume": 0.0, "delta": -0.9061, "gamma": 0.0086, "vega": 0.0498, "theta": -0.0176, "rho": -0.1329, "theo": 64.401, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 51.8, "last_trade_time": "2026-06-29T09:38:53", "percent_change": 0.0, "prev_day_close": 64.4749984741211}, {"option": "DRAM261218C00122000", "bid": 0.8, "bid_size": 1015.0, "ask": 1.14, "ask_size": 4.0, "iv": 0.8783, "open_interest": 762.0, "volume": 86.0, "delta": 0.1057, "gamma": 0.0064, "vega": 0.0569, "theta": -0.0184, "rho": 0.016, "theo": 1.1272, "change": -0.145, "open": 1.0, "high": 1.1, "low": 1.0, "tick": "up", "last_trade_price": 1.1, "last_trade_time": "2026-08-03T14:09:37", "percent_change": -11.6466, "prev_day_close": 1.24500003457069}, {"option": "DRAM261218P00122000", "bid": 70.4, "bid_size": 85.0, "ask": 72.4, "ask_size": 189.0, "iv": 0.952, "open_interest": 95.0, "volume": 0.0, "delta": -0.9284, "gamma": 0.0079, "vega": 0.0392, "theta": -0.015, "rho": -0.1111, "theo": 71.2074, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 68.3, "last_trade_time": "2026-07-27T09:35:03", "percent_change": 0.0, "prev_day_close": 71.0750007629394}, {"option": "DRAM270115C00020000", "bid": 31.75, "bid_size": 267.0, "ask": 32.65, "ask_size": 699.0, "iv": 1.0416, "open_interest": 311.0, "volume": 3.0, "delta": 0.961, "gamma": 0.0024, "vega": 0.0274, "theta": -0.0036, "rho": 0.0782, "theo": 31.9714, "change": -0.315, "open": 30.6, "high": 31.81, "low": 30.6, "tick": "up", "last_trade_price": 31.81, "last_trade_time": "2026-08-03T13:23:58", "percent_change": -0.980545, "prev_day_close": 32.125}, {"option": "DRAM270115P00020000", "bid": 0.37, "bid_size": 2322.0, "ask": 0.89, "ask_size": 1980.0, "iv": 0.9705, "open_interest": 1256.0, "volume": 18.0, "delta": -0.0364, "gamma": 0.0024, "vega": 0.0275, "theta": -0.0079, "rho": -0.0106, "theo": 0.6117, "change": -0.085, "open": 0.8, "high": 0.8, "low": 0.61, "tick": "no_change", "last_trade_price": 0.64, "last_trade_time": "2026-08-03T14:20:43", "percent_change": -11.7241, "prev_day_close": 0.725000023841858}, {"option": "DRAM270115C00021000", "bid": 30.05, "bid_size": 108.0, "ask": 32.1, "ask_size": 110.0, "iv": 0.9484, "open_interest": 18.0, "volume": 0.0, "delta": 0.9554, "gamma": 0.0027, "vega": 0.0308, "theta": -0.0046, "rho": 0.0811, "theo": 31.0972, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.32, "last_trade_time": "2026-07-31T15:24:46", "percent_change": 0.0, "prev_day_close": 31.1500005722046}, {"option": "DRAM270115P00021000", "bid": 0.39, "bid_size": 1453.0, "ask": 0.79, "ask_size": 1.0, "iv": 0.912, "open_interest": 65.0, "volume": 105.0, "delta": -0.042, "gamma": 0.0027, "vega": 0.0309, "theta": -0.0088, "rho": -0.0122, "theo": 0.718, "change": -0.125, "open": 0.72, "high": 0.77, "low": 0.65, "tick": "up", "last_trade_price": 0.75, "last_trade_time": "2026-08-03T15:25:15", "percent_change": -14.2857, "prev_day_close": 0.875}, {"option": "DRAM270115C00022000", "bid": 29.2, "bid_size": 96.0, "ask": 31.2, "ask_size": 108.0, "iv": 0.9379, "open_interest": 9.0, "volume": 0.0, "delta": 0.9493, "gamma": 0.0031, "vega": 0.0343, "theta": -0.0057, "rho": 0.0838, "theo": 30.2353, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 40.0, "last_trade_time": "2026-07-14T09:52:24", "percent_change": 0.0, "prev_day_close": 30.6999998092651}, {"option": "DRAM270115P00022000", "bid": 0.7, "bid_size": 787.0, "ask": 0.93, "ask_size": 132.0, "iv": 0.942, "open_interest": 200.0, "volume": 0.0, "delta": -0.0481, "gamma": 0.0031, "vega": 0.0344, "theta": -0.0097, "rho": -0.014, "theo": 0.8365, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.01, "last_trade_time": "2026-07-31T11:27:37", "percent_change": 0.0, "prev_day_close": 0.844999969005585}, {"option": "DRAM270115C00023000", "bid": 28.35, "bid_size": 90.0, "ask": 30.3, "ask_size": 104.0, "iv": 0.925, "open_interest": 5.0, "volume": 0.0, "delta": 0.9428, "gamma": 0.0034, "vega": 0.038, "theta": -0.0068, "rho": 0.0864, "theo": 29.3861, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 38.2, "last_trade_time": "2026-06-11T09:31:16", "percent_change": 0.0, "prev_day_close": 29.6999998092651}, {"option": "DRAM270115P00023000", "bid": 0.86, "bid_size": 572.0, "ask": 1.08, "ask_size": 236.0, "iv": 0.9421, "open_interest": 169.0, "volume": 0.0, "delta": -0.0546, "gamma": 0.0034, "vega": 0.0381, "theta": -0.0107, "rho": -0.016, "theo": 0.9676, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 1.18, "last_trade_time": "2026-07-31T10:33:05", "percent_change": 0.0, "prev_day_close": 1.07000002264976}, {"option": "DRAM270115C00024000", "bid": 27.6, "bid_size": 197.0, "ask": 30.3, "ask_size": 244.0, "iv": 1.0255, "open_interest": 32.0, "volume": 20.0, "delta": 0.9357, "gamma": 0.0038, "vega": 0.0418, "theta": -0.0079, "rho": 0.0886, "theo": 28.5504, "change": -0.325, "open": 28.65, "high": 28.65, "low": 28.65, "tick": "up", "last_trade_price": 28.65, "last_trade_time": "2026-08-03T13:41:12", "percent_change": -1.12165, "prev_day_close": 28.9749994277954}, {"option": "DRAM270115P00024000", "bid": 0.77, "bid_size": 1389.0, "ask": 1.38, "ask_size": 2031.0, "iv": 0.926, "open_interest": 1289.0, "volume": 411.0, "delta": -0.0617, "gamma": 0.0038, "vega": 0.042, "theta": -0.0117, "rho": -0.0181, "theo": 1.1125, "change": -0.05, "open": 1.3, "high": 1.41, "low": 1.13, "tick": "up", "last_trade_price": 1.16, "last_trade_time": "2026-08-03T14:49:17", "percent_change": -4.13223, "prev_day_close": 1.21000003814697}, {"option": "DRAM270115C00025000", "bid": 27.05, "bid_size": 101.0, "ask": 28.6, "ask_size": 131.0, "iv": 0.95, "open_interest": 84.0, "volume": 0.0, "delta": 0.9282, "gamma": 0.0041, "vega": 0.0457, "theta": -0.009, "rho": 0.0908, "theo": 27.7287, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.02, "last_trade_time": "2026-07-30T10:25:02", "percent_change": 0.0, "prev_day_close": 28.1000003814697}, {"option": "DRAM270115P00025000", "bid": 0.95, "bid_size": 1257.0, "ask": 1.45, "ask_size": 742.0, "iv": 0.9133, "open_interest": 1525.0, "volume": 94.0, "delta": -0.0693, "gamma": 0.0042, "vega": 0.0459, "theta": -0.0127, "rho": -0.0204, "theo": 1.2714, "change": -0.07, "open": 1.53, "high": 1.53, "low": 1.27, "tick": "down", "last_trade_price": 1.27, "last_trade_time": "2026-08-03T14:00:08", "percent_change": -5.22388, "prev_day_close": 1.3400000333786}, {"option": "DRAM270115C00026000", "bid": 25.9, "bid_size": 134.0, "ask": 27.9, "ask_size": 116.0, "iv": 0.9193, "open_interest": 21.0, "volume": 0.0, "delta": 0.9202, "gamma": 0.0045, "vega": 0.0497, "theta": -0.0102, "rho": 0.0927, "theo": 26.9213, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.14, "last_trade_time": "2026-07-31T12:47:42", "percent_change": 0.0, "prev_day_close": 27.375}, {"option": "DRAM270115P00026000", "bid": 1.23, "bid_size": 547.0, "ask": 1.73, "ask_size": 1376.0, "iv": 0.9307, "open_interest": 572.0, "volume": 51.0, "delta": -0.0774, "gamma": 0.0046, "vega": 0.0499, "theta": -0.0137, "rho": -0.0228, "theo": 1.4446, "change": -0.06, "open": 1.66, "high": 1.66, "low": 1.53, "tick": "down", "last_trade_price": 1.53, "last_trade_time": "2026-08-03T11:23:51", "percent_change": -3.77359, "prev_day_close": 1.5900000333786}, {"option": "DRAM270115C00027000", "bid": 25.1, "bid_size": 203.0, "ask": 26.95, "ask_size": 128.0, "iv": 0.8988, "open_interest": 50.0, "volume": 0.0, "delta": 0.9118, "gamma": 0.0049, "vega": 0.0538, "theta": -0.0113, "rho": 0.0944, "theo": 26.129, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.72, "last_trade_time": "2026-07-28T15:46:00", "percent_change": 0.0, "prev_day_close": 26.6000003814697}, {"option": "DRAM270115P00027000", "bid": 1.35, "bid_size": 664.0, "ask": 1.85, "ask_size": 625.0, "iv": 0.9124, "open_interest": 585.0, "volume": 8.0, "delta": -0.0858, "gamma": 0.005, "vega": 0.0541, "theta": -0.0148, "rho": -0.0253, "theo": 1.6326, "change": -0.185, "open": 1.67, "high": 1.67, "low": 1.67, "tick": "down", "last_trade_price": 1.67, "last_trade_time": "2026-08-03T15:25:43", "percent_change": -9.97305, "prev_day_close": 1.85500001907349}, {"option": "DRAM270115C00028000", "bid": 24.3, "bid_size": 137.0, "ask": 27.0, "ask_size": 209.0, "iv": 0.9642, "open_interest": 37.0, "volume": 0.0, "delta": 0.9028, "gamma": 0.0053, "vega": 0.0579, "theta": -0.0125, "rho": 0.0959, "theo": 25.3522, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 21.0, "last_trade_time": "2026-07-29T12:39:56", "percent_change": 0.0, "prev_day_close": 25.8250007629395}, {"option": "DRAM270115P00028000", "bid": 1.54, "bid_size": 1115.0, "ask": 2.56, "ask_size": 2746.0, "iv": 0.9499, "open_interest": 437.0, "volume": 0.0, "delta": -0.0948, "gamma": 0.0054, "vega": 0.0581, "theta": -0.0158, "rho": -0.028, "theo": 1.8368, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.21, "last_trade_time": "2026-07-27T12:57:29", "percent_change": 0.0, "prev_day_close": 2.14000004529953}, {"option": "DRAM270115C00029000", "bid": 23.5, "bid_size": 902.0, "ask": 25.45, "ask_size": 511.0, "iv": 0.8903, "open_interest": 83.0, "volume": 1.0, "delta": 0.8935, "gamma": 0.0057, "vega": 0.062, "theta": -0.0137, "rho": 0.0973, "theo": 24.5911, "change": -1.875, "open": 23.35, "high": 23.35, "low": 23.35, "tick": "down", "last_trade_price": 23.35, "last_trade_time": "2026-08-03T10:23:42", "percent_change": -7.4331, "prev_day_close": 25.2250003814697}, {"option": "DRAM270115P00029000", "bid": 1.87, "bid_size": 548.0, "ask": 2.82, "ask_size": 2764.0, "iv": 0.9549, "open_interest": 133.0, "volume": 0.0, "delta": -0.1042, "gamma": 0.0058, "vega": 0.0622, "theta": -0.0169, "rho": -0.0308, "theo": 2.0564, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.82, "last_trade_time": "2026-07-29T09:46:23", "percent_change": 0.0, "prev_day_close": 2.18999999761581}, {"option": "DRAM270115C00030000", "bid": 23.4, "bid_size": 986.0, "ask": 24.55, "ask_size": 906.0, "iv": 0.9245, "open_interest": 1365.0, "volume": 187.0, "delta": 0.8838, "gamma": 0.0062, "vega": 0.0662, "theta": -0.0148, "rho": 0.0984, "theo": 23.846, "change": -0.18, "open": 21.85, "high": 24.36, "low": 21.85, "tick": "no_change", "last_trade_price": 23.97, "last_trade_time": "2026-08-03T15:56:52", "percent_change": -0.74534, "prev_day_close": 24.1499996185303}, {"option": "DRAM270115P00030000", "bid": 2.1, "bid_size": 726.0, "ask": 2.31, "ask_size": 8.0, "iv": 0.8918, "open_interest": 3090.0, "volume": 17.0, "delta": -0.1141, "gamma": 0.0062, "vega": 0.0665, "theta": -0.0179, "rho": -0.0338, "theo": 2.2924, "change": -0.235, "open": 2.61, "high": 2.61, "low": 2.26, "tick": "down", "last_trade_price": 2.26, "last_trade_time": "2026-08-03T13:32:47", "percent_change": -9.41884, "prev_day_close": 2.49500000476837}, {"option": "DRAM270115C00031000", "bid": 22.0, "bid_size": 643.0, "ask": 23.9, "ask_size": 507.0, "iv": 0.8772, "open_interest": 97.0, "volume": 0.0, "delta": 0.8736, "gamma": 0.0066, "vega": 0.0703, "theta": -0.016, "rho": 0.0994, "theo": 23.1174, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.7, "last_trade_time": "2026-07-28T09:43:23", "percent_change": 0.0, "prev_day_close": 23.5500001907349}, {"option": "DRAM270115P00031000", "bid": 2.21, "bid_size": 1060.0, "ask": 2.85, "ask_size": 1289.0, "iv": 0.8991, "open_interest": 71.0, "volume": 43.0, "delta": -0.1243, "gamma": 0.0066, "vega": 0.0706, "theta": -0.019, "rho": -0.0368, "theo": 2.5455, "change": -0.285, "open": 2.68, "high": 2.68, "low": 2.55, "tick": "no_change", "last_trade_price": 2.55, "last_trade_time": "2026-08-03T14:42:09", "percent_change": -10.0529, "prev_day_close": 2.83499991893768}, {"option": "DRAM270115C00032000", "bid": 21.5, "bid_size": 1022.0, "ask": 22.95, "ask_size": 514.0, "iv": 0.8732, "open_interest": 673.0, "volume": 10.0, "delta": 0.8631, "gamma": 0.007, "vega": 0.0744, "theta": -0.0172, "rho": 0.1003, "theo": 22.4055, "change": -0.69, "open": 22.26, "high": 22.26, "low": 22.26, "tick": "up", "last_trade_price": 22.26, "last_trade_time": "2026-08-03T15:00:13", "percent_change": -3.00654, "prev_day_close": 22.9499998092651}, {"option": "DRAM270115P00032000", "bid": 2.41, "bid_size": 1073.0, "ask": 3.15, "ask_size": 1413.0, "iv": 0.893, "open_interest": 161.0, "volume": 1.0, "delta": -0.1349, "gamma": 0.007, "vega": 0.0747, "theta": -0.02, "rho": -0.04, "theo": 2.8149, "change": 0.27, "open": 3.27, "high": 3.27, "low": 3.27, "tick": "up", "last_trade_price": 3.27, "last_trade_time": "2026-08-03T09:58:32", "percent_change": 9.0, "prev_day_close": 3.0}, {"option": "DRAM270115C00033000", "bid": 20.55, "bid_size": 1086.0, "ask": 22.35, "ask_size": 524.0, "iv": 0.8608, "open_interest": 106.0, "volume": 1.0, "delta": 0.8522, "gamma": 0.0074, "vega": 0.0784, "theta": -0.0183, "rho": 0.1009, "theo": 21.7103, "change": -1.25, "open": 20.9, "high": 20.9, "low": 20.9, "tick": "up", "last_trade_price": 20.9, "last_trade_time": "2026-08-03T12:03:44", "percent_change": -5.64334, "prev_day_close": 22.1500005722046}, {"option": "DRAM270115P00033000", "bid": 2.71, "bid_size": 1055.0, "ask": 3.45, "ask_size": 2333.0, "iv": 0.8917, "open_interest": 1760.0, "volume": 1.0, "delta": -0.1459, "gamma": 0.0075, "vega": 0.0788, "theta": -0.021, "rho": -0.0433, "theo": 3.1011, "change": 0.105, "open": 3.17, "high": 3.17, "low": 3.17, "tick": "down", "last_trade_price": 3.17, "last_trade_time": "2026-08-03T12:25:42", "percent_change": 3.42578, "prev_day_close": 3.06499993801117}, {"option": "DRAM270115C00034000", "bid": 19.85, "bid_size": 922.0, "ask": 21.8, "ask_size": 603.0, "iv": 0.8659, "open_interest": 58.0, "volume": 0.0, "delta": 0.841, "gamma": 0.0078, "vega": 0.0824, "theta": -0.0194, "rho": 0.1014, "theo": 21.032, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 22.2, "last_trade_time": "2026-07-30T13:21:56", "percent_change": 0.0, "prev_day_close": 21.4750003814697}, {"option": "DRAM270115P00034000", "bid": 2.95, "bid_size": 851.0, "ask": 3.8, "ask_size": 1375.0, "iv": 0.8877, "open_interest": 66.0, "volume": 2.0, "delta": -0.1572, "gamma": 0.0079, "vega": 0.0829, "theta": -0.022, "rho": -0.0467, "theo": 3.4048, "change": -0.18, "open": 3.68, "high": 3.68, "low": 3.32, "tick": "down", "last_trade_price": 3.32, "last_trade_time": "2026-08-03T13:36:06", "percent_change": -5.14286, "prev_day_close": 3.5}, {"option": "DRAM270115C00035000", "bid": 19.85, "bid_size": 1160.0, "ask": 21.0, "ask_size": 853.0, "iv": 0.8947, "open_interest": 2109.0, "volume": 9.0, "delta": 0.8296, "gamma": 0.0082, "vega": 0.0863, "theta": -0.0205, "rho": 0.1017, "theo": 20.371, "change": -0.78, "open": 19.5, "high": 20.0, "low": 19.5, "tick": "up", "last_trade_price": 19.92, "last_trade_time": "2026-08-03T13:09:58", "percent_change": -3.76812, "prev_day_close": 20.7000007629395}, {"option": "DRAM270115P00035000", "bid": 3.6, "bid_size": 1.0, "ask": 3.75, "ask_size": 8.0, "iv": 0.8825, "open_interest": 8803.0, "volume": 51.0, "delta": -0.1688, "gamma": 0.0083, "vega": 0.0867, "theta": -0.023, "rho": -0.0503, "theo": 3.7261, "change": -0.25, "open": 4.13, "high": 4.13, "low": 3.65, "tick": "up", "last_trade_price": 3.7, "last_trade_time": "2026-08-03T15:56:35", "percent_change": -6.32911, "prev_day_close": 3.94999992847443}, {"option": "DRAM270115C00036000", "bid": 18.15, "bid_size": 894.0, "ask": 21.4, "ask_size": 752.0, "iv": 0.8911, "open_interest": 170.0, "volume": 15.0, "delta": 0.8178, "gamma": 0.0086, "vega": 0.09, "theta": -0.0215, "rho": 0.102, "theo": 19.727, "change": -0.29, "open": 19.4, "high": 19.91, "low": 18.3, "tick": "up", "last_trade_price": 19.91, "last_trade_time": "2026-08-03T15:00:13", "percent_change": -1.43564, "prev_day_close": 20.1999998092651}, {"option": "DRAM270115P00036000", "bid": 3.65, "bid_size": 736.0, "ask": 4.6, "ask_size": 1845.0, "iv": 0.8925, "open_interest": 556.0, "volume": 0.0, "delta": -0.1807, "gamma": 0.0087, "vega": 0.0904, "theta": -0.0239, "rho": -0.0539, "theo": 4.064, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 4.4, "last_trade_time": "2026-07-31T11:57:45", "percent_change": 0.0, "prev_day_close": 4.07499992847443}, {"option": "DRAM270115C00037000", "bid": 18.75, "bid_size": 975.0, "ask": 19.65, "ask_size": 718.0, "iv": 0.8939, "open_interest": 741.0, "volume": 3.0, "delta": 0.8058, "gamma": 0.0089, "vega": 0.0937, "theta": -0.0225, "rho": 0.102, "theo": 19.0999, "change": -0.31, "open": 19.24, "high": 19.24, "low": 19.24, "tick": "up", "last_trade_price": 19.24, "last_trade_time": "2026-08-03T15:40:38", "percent_change": -1.58568, "prev_day_close": 19.5500001907349}, {"option": "DRAM270115P00037000", "bid": 4.15, "bid_size": 370.0, "ask": 5.05, "ask_size": 2249.0, "iv": 0.9024, "open_interest": 120.0, "volume": 0.0, "delta": -0.1929, "gamma": 0.009, "vega": 0.0942, "theta": -0.0248, "rho": -0.0575, "theo": 4.4191, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.95, "last_trade_time": "2026-07-30T09:30:21", "percent_change": 0.0, "prev_day_close": 4.65000009536743}, {"option": "DRAM270115C00038000", "bid": 18.15, "bid_size": 651.0, "ask": 19.2, "ask_size": 813.0, "iv": 0.9, "open_interest": 330.0, "volume": 0.0, "delta": 0.7936, "gamma": 0.0093, "vega": 0.0973, "theta": -0.0235, "rho": 0.1019, "theo": 18.49, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.0, "last_trade_time": "2026-07-28T13:25:24", "percent_change": 0.0, "prev_day_close": 19.1499996185303}, {"option": "DRAM270115P00038000", "bid": 4.3, "bid_size": 874.0, "ask": 5.35, "ask_size": 1935.0, "iv": 0.8844, "open_interest": 3168.0, "volume": 0.0, "delta": -0.2052, "gamma": 0.0094, "vega": 0.0979, "theta": -0.0257, "rho": -0.0612, "theo": 4.792, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.5, "last_trade_time": "2026-07-31T09:37:32", "percent_change": 0.0, "prev_day_close": 5.04999995231628}, {"option": "DRAM270115C00039000", "bid": 17.55, "bid_size": 470.0, "ask": 18.4, "ask_size": 409.0, "iv": 0.8866, "open_interest": 376.0, "volume": 1.0, "delta": 0.7812, "gamma": 0.0096, "vega": 0.1008, "theta": -0.0244, "rho": 0.1017, "theo": 17.8972, "change": -0.375, "open": 18.1, "high": 18.1, "low": 18.1, "tick": "down", "last_trade_price": 18.1, "last_trade_time": "2026-08-03T14:12:48", "percent_change": -2.02977, "prev_day_close": 18.4750003814697}, {"option": "DRAM270115P00039000", "bid": 4.7, "bid_size": 1058.0, "ask": 5.5, "ask_size": 1077.0, "iv": 0.8707, "open_interest": 1060.0, "volume": 1.0, "delta": -0.2178, "gamma": 0.0098, "vega": 0.1012, "theta": -0.0265, "rho": -0.0651, "theo": 5.1824, "change": -0.12, "open": 5.18, "high": 5.18, "low": 5.18, "tick": "down", "last_trade_price": 5.18, "last_trade_time": "2026-08-03T15:21:58", "percent_change": -2.26415, "prev_day_close": 5.29999995231628}, {"option": "DRAM270115C00040000", "bid": 16.7, "bid_size": 1315.0, "ask": 18.0, "ask_size": 963.0, "iv": 0.8797, "open_interest": 2314.0, "volume": 20.0, "delta": 0.7687, "gamma": 0.01, "vega": 0.104, "theta": -0.0253, "rho": 0.1014, "theo": 17.3212, "change": -0.155, "open": 15.5, "high": 17.5, "low": 15.5, "tick": "up", "last_trade_price": 17.22, "last_trade_time": "2026-08-03T15:27:34", "percent_change": -0.892086, "prev_day_close": 17.375}, {"option": "DRAM270115P00040000", "bid": 5.25, "bid_size": 832.0, "ask": 5.65, "ask_size": 28.0, "iv": 0.8636, "open_interest": 8633.0, "volume": 1061.0, "delta": -0.2305, "gamma": 0.0101, "vega": 0.1044, "theta": -0.0273, "rho": -0.0689, "theo": 5.5892, "change": -0.34, "open": 6.48, "high": 6.48, "low": 5.46, "tick": "down", "last_trade_price": 5.46, "last_trade_time": "2026-08-03T15:40:54", "percent_change": -5.86207, "prev_day_close": 5.79999995231628}, {"option": "DRAM270115C00041000", "bid": 15.55, "bid_size": 1215.0, "ask": 17.35, "ask_size": 554.0, "iv": 0.846, "open_interest": 147.0, "volume": 0.0, "delta": 0.756, "gamma": 0.0103, "vega": 0.1072, "theta": -0.0262, "rho": 0.101, "theo": 16.7617, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.0, "last_trade_time": "2026-07-31T11:47:44", "percent_change": 0.0, "prev_day_close": 17.2749996185303}, {"option": "DRAM270115P00041000", "bid": 5.6, "bid_size": 904.0, "ask": 6.55, "ask_size": 1734.0, "iv": 0.8809, "open_interest": 300.0, "volume": 200.0, "delta": -0.2434, "gamma": 0.0105, "vega": 0.1076, "theta": -0.0281, "rho": -0.0729, "theo": 6.0127, "change": -0.075, "open": 6.4, "high": 6.4, "low": 6.1, "tick": "no_change", "last_trade_price": 6.1, "last_trade_time": "2026-08-03T10:50:04", "percent_change": -1.21458, "prev_day_close": 6.17500019073486}, {"option": "DRAM270115C00042000", "bid": 15.65, "bid_size": 891.0, "ask": 16.8, "ask_size": 694.0, "iv": 0.874, "open_interest": 153.0, "volume": 0.0, "delta": 0.7432, "gamma": 0.0106, "vega": 0.1102, "theta": -0.027, "rho": 0.1005, "theo": 16.2188, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.0, "last_trade_time": "2026-07-28T15:54:51", "percent_change": 0.0, "prev_day_close": 16.8250002861023}, {"option": "DRAM270115P00042000", "bid": 5.9, "bid_size": 1186.0, "ask": 6.75, "ask_size": 969.0, "iv": 0.8618, "open_interest": 280.0, "volume": 19.0, "delta": -0.2564, "gamma": 0.0108, "vega": 0.1106, "theta": -0.0288, "rho": -0.0767, "theo": 6.4534, "change": -0.075, "open": 7.35, "high": 7.36, "low": 6.65, "tick": "down", "last_trade_price": 6.65, "last_trade_time": "2026-08-03T12:08:16", "percent_change": -1.11524, "prev_day_close": 6.72499990463257}, {"option": "DRAM270115C00043000", "bid": 15.0, "bid_size": 1402.0, "ask": 16.4, "ask_size": 1017.0, "iv": 0.8726, "open_interest": 6579.0, "volume": 16.0, "delta": 0.7303, "gamma": 0.0109, "vega": 0.113, "theta": -0.0278, "rho": 0.0998, "theo": 15.6923, "change": -0.825, "open": 14.0, "high": 15.2, "low": 14.0, "tick": "up", "last_trade_price": 15.2, "last_trade_time": "2026-08-03T11:20:47", "percent_change": -5.1482, "prev_day_close": 16.0249996185303}, {"option": "DRAM270115P00043000", "bid": 6.35, "bid_size": 1073.0, "ask": 7.15, "ask_size": 797.0, "iv": 0.8577, "open_interest": 281.0, "volume": 117.0, "delta": -0.2695, "gamma": 0.0111, "vega": 0.1135, "theta": -0.0295, "rho": -0.0806, "theo": 6.9113, "change": -0.35, "open": 7.78, "high": 7.86, "low": 6.85, "tick": "down", "last_trade_price": 6.85, "last_trade_time": "2026-08-03T13:34:10", "percent_change": -4.86111, "prev_day_close": 7.19999980926514}, {"option": "DRAM270115C00044000", "bid": 14.65, "bid_size": 1045.0, "ask": 15.7, "ask_size": 847.0, "iv": 0.8699, "open_interest": 1069.0, "volume": 3.0, "delta": 0.7174, "gamma": 0.0112, "vega": 0.1156, "theta": -0.0285, "rho": 0.0991, "theo": 15.182, "change": -0.325, "open": 15.3, "high": 15.3, "low": 15.3, "tick": "down", "last_trade_price": 15.3, "last_trade_time": "2026-08-03T13:53:27", "percent_change": -2.08, "prev_day_close": 15.625}, {"option": "DRAM270115P00044000", "bid": 6.4, "bid_size": 1526.0, "ask": 7.95, "ask_size": 1729.0, "iv": 0.8524, "open_interest": 484.0, "volume": 71.0, "delta": -0.2826, "gamma": 0.0114, "vega": 0.1161, "theta": -0.0301, "rho": -0.0847, "theo": 7.385, "change": 0.1, "open": 8.39, "high": 8.39, "low": 7.55, "tick": "no_change", "last_trade_price": 7.55, "last_trade_time": "2026-08-03T10:50:03", "percent_change": 1.34228, "prev_day_close": 7.45000004768372}, {"option": "DRAM270115C00045000", "bid": 14.2, "bid_size": 707.0, "ask": 15.85, "ask_size": 1227.0, "iv": 0.8978, "open_interest": 3036.0, "volume": 111.0, "delta": 0.7044, "gamma": 0.0114, "vega": 0.1181, "theta": -0.0292, "rho": 0.0984, "theo": 14.6874, "change": -0.665, "open": 13.1, "high": 14.32, "low": 12.75, "tick": "up", "last_trade_price": 14.21, "last_trade_time": "2026-08-03T12:20:48", "percent_change": -4.47059, "prev_day_close": 14.875}, {"option": "DRAM270115P00045000", "bid": 7.5, "bid_size": 743.0, "ask": 8.05, "ask_size": 235.0, "iv": 0.8608, "open_interest": 3625.0, "volume": 116.0, "delta": -0.2958, "gamma": 0.0116, "vega": 0.1186, "theta": -0.0307, "rho": -0.0888, "theo": 7.8742, "change": -0.3, "open": 8.9, "high": 8.93, "low": 7.7, "tick": "down", "last_trade_price": 7.85, "last_trade_time": "2026-08-03T15:16:20", "percent_change": -3.68098, "prev_day_close": 8.14999985694885}, {"option": "DRAM270115C00046000", "bid": 12.95, "bid_size": 1668.0, "ask": 14.75, "ask_size": 730.0, "iv": 0.8383, "open_interest": 161.0, "volume": 0.0, "delta": 0.6914, "gamma": 0.0117, "vega": 0.1205, "theta": -0.0299, "rho": 0.0975, "theo": 14.2081, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.25, "last_trade_time": "2026-07-31T11:27:39", "percent_change": 0.0, "prev_day_close": 14.7749996185303}, {"option": "DRAM270115P00046000", "bid": 7.95, "bid_size": 796.0, "ask": 8.65, "ask_size": 894.0, "iv": 0.8614, "open_interest": 854.0, "volume": 81.0, "delta": -0.3091, "gamma": 0.0119, "vega": 0.1209, "theta": -0.0312, "rho": -0.0926, "theo": 8.3795, "change": -0.15, "open": 8.55, "high": 8.6, "low": 8.55, "tick": "no_change", "last_trade_price": 8.55, "last_trade_time": "2026-08-03T10:50:04", "percent_change": -1.72414, "prev_day_close": 8.7000002861023}, {"option": "DRAM270115C00047000", "bid": 13.05, "bid_size": 1312.0, "ask": 14.9, "ask_size": 1272.0, "iv": 0.8858, "open_interest": 249.0, "volume": 2.0, "delta": 0.6784, "gamma": 0.0119, "vega": 0.1226, "theta": -0.0305, "rho": 0.0965, "theo": 13.7442, "change": -1.225, "open": 12.9, "high": 13.05, "low": 12.9, "tick": "up", "last_trade_price": 13.05, "last_trade_time": "2026-08-03T14:46:13", "percent_change": -8.58144, "prev_day_close": 14.2750000953674}, {"option": "DRAM270115P00047000", "bid": 8.55, "bid_size": 486.0, "ask": 9.3, "ask_size": 1218.0, "iv": 0.8689, "open_interest": 115.0, "volume": 253.0, "delta": -0.3223, "gamma": 0.0121, "vega": 0.1231, "theta": -0.0317, "rho": -0.0963, "theo": 8.9007, "change": 0.025, "open": 10.1, "high": 10.1, "low": 9.0, "tick": "up", "last_trade_price": 9.25, "last_trade_time": "2026-08-03T11:31:00", "percent_change": 0.271004, "prev_day_close": 9.22499990463257}, {"option": "DRAM270115C00048000", "bid": 12.75, "bid_size": 1132.0, "ask": 14.0, "ask_size": 1044.0, "iv": 0.8724, "open_interest": 3135.0, "volume": 235.0, "delta": 0.6655, "gamma": 0.0121, "vega": 0.1246, "theta": -0.031, "rho": 0.0955, "theo": 13.2954, "change": -0.475, "open": 11.84, "high": 13.35, "low": 11.84, "tick": "no_change", "last_trade_price": 13.35, "last_trade_time": "2026-08-03T15:47:58", "percent_change": -3.4358, "prev_day_close": 13.8249998092651}, {"option": "DRAM270115P00048000", "bid": 8.95, "bid_size": 850.0, "ask": 10.5, "ask_size": 1953.0, "iv": 0.889, "open_interest": 969.0, "volume": 59.0, "delta": -0.3355, "gamma": 0.0124, "vega": 0.1251, "theta": -0.0322, "rho": -0.1005, "theo": 9.4375, "change": -0.275, "open": 10.2, "high": 10.2, "low": 9.4, "tick": "down", "last_trade_price": 9.4, "last_trade_time": "2026-08-03T13:28:52", "percent_change": -2.84237, "prev_day_close": 9.6749997138977}, {"option": "DRAM270115C00049000", "bid": 12.45, "bid_size": 678.0, "ask": 13.35, "ask_size": 609.0, "iv": 0.8682, "open_interest": 177.0, "volume": 26.0, "delta": 0.6526, "gamma": 0.0123, "vega": 0.1265, "theta": -0.0315, "rho": 0.0944, "theo": 12.8612, "change": -0.45, "open": 11.63, "high": 12.9, "low": 11.49, "tick": "up", "last_trade_price": 12.9, "last_trade_time": "2026-08-03T15:57:52", "percent_change": -3.37079, "prev_day_close": 13.3500003814697}, {"option": "DRAM270115P00049000", "bid": 9.6, "bid_size": 504.0, "ask": 10.6, "ask_size": 1691.0, "iv": 0.8739, "open_interest": 156.0, "volume": 50.0, "delta": -0.3487, "gamma": 0.0126, "vega": 0.1268, "theta": -0.0326, "rho": -0.1045, "theo": 9.9885, "change": 0.075, "open": 10.1, "high": 10.28, "low": 10.1, "tick": "up", "last_trade_price": 10.2, "last_trade_time": "2026-08-03T12:12:34", "percent_change": 0.740741, "prev_day_close": 10.125}, {"option": "DRAM270115C00050000", "bid": 12.25, "bid_size": 617.0, "ask": 12.85, "ask_size": 687.0, "iv": 0.8728, "open_interest": 7650.0, "volume": 4509.0, "delta": 0.6397, "gamma": 0.0125, "vega": 0.1281, "theta": -0.032, "rho": 0.0934, "theo": 12.4412, "change": 0.025, "open": 11.5, "high": 12.95, "low": 10.75, "tick": "down", "last_trade_price": 12.6, "last_trade_time": "2026-08-03T15:54:09", "percent_change": 0.198809, "prev_day_close": 12.5749998092651}, {"option": "DRAM270115P00050000", "bid": 10.2, "bid_size": 247.0, "ask": 11.05, "ask_size": 1414.0, "iv": 0.8699, "open_interest": 4242.0, "volume": 1292.0, "delta": -0.3618, "gamma": 0.0127, "vega": 0.1285, "theta": -0.033, "rho": -0.1085, "theo": 10.5537, "change": -0.425, "open": 11.75, "high": 11.75, "low": 10.33, "tick": "no_change", "last_trade_price": 10.35, "last_trade_time": "2026-08-03T15:35:21", "percent_change": -3.94432, "prev_day_close": 10.7750000953674}, {"option": "DRAM270115C00051000", "bid": 11.7, "bid_size": 809.0, "ask": 13.4, "ask_size": 1445.0, "iv": 0.9034, "open_interest": 207.0, "volume": 28.0, "delta": 0.627, "gamma": 0.0126, "vega": 0.1296, "theta": -0.0324, "rho": 0.0922, "theo": 12.0349, "change": -0.17, "open": 10.69, "high": 12.1, "low": 10.69, "tick": "down", "last_trade_price": 12.03, "last_trade_time": "2026-08-03T15:04:07", "percent_change": -1.39344, "prev_day_close": 12.2000002861023}, {"option": "DRAM270115P00051000", "bid": 10.65, "bid_size": 576.0, "ask": 11.8, "ask_size": 1683.0, "iv": 0.8706, "open_interest": 139.0, "volume": 47.0, "delta": -0.3748, "gamma": 0.0129, "vega": 0.13, "theta": -0.0333, "rho": -0.1121, "theo": 11.1334, "change": -0.495, "open": 11.25, "high": 11.25, "low": 10.88, "tick": "down", "last_trade_price": 10.88, "last_trade_time": "2026-08-03T14:23:23", "percent_change": -4.35165, "prev_day_close": 11.375}, {"option": "DRAM270115C00052000", "bid": 11.0, "bid_size": 1490.0, "ask": 11.95, "ask_size": 376.0, "iv": 0.8502, "open_interest": 1852.0, "volume": 20.0, "delta": 0.6143, "gamma": 0.0128, "vega": 0.131, "theta": -0.0328, "rho": 0.091, "theo": 11.6423, "change": 0.325, "open": 10.35, "high": 12.45, "low": 10.1, "tick": "down", "last_trade_price": 12.15, "last_trade_time": "2026-08-03T15:59:14", "percent_change": 2.74841, "prev_day_close": 11.8250002861023}, {"option": "DRAM270115P00052000", "bid": 11.3, "bid_size": 726.0, "ask": 12.6, "ask_size": 2010.0, "iv": 0.88, "open_interest": 3263.0, "volume": 1152.0, "delta": -0.3878, "gamma": 0.0131, "vega": 0.1312, "theta": -0.0336, "rho": -0.1156, "theo": 11.7272, "change": 0.15, "open": 12.4, "high": 12.55, "low": 11.9, "tick": "no_change", "last_trade_price": 12.1, "last_trade_time": "2026-08-03T11:35:16", "percent_change": 1.25523, "prev_day_close": 11.9499998092651}, {"option": "DRAM270115C00053000", "bid": 10.95, "bid_size": 562.0, "ask": 11.75, "ask_size": 742.0, "iv": 0.869, "open_interest": 487.0, "volume": 2.0, "delta": 0.6018, "gamma": 0.0129, "vega": 0.1322, "theta": -0.0331, "rho": 0.0897, "theo": 11.2631, "change": -1.51, "open": 10.29, "high": 10.29, "low": 10.29, "tick": "down", "last_trade_price": 10.29, "last_trade_time": "2026-08-03T09:30:01", "percent_change": -12.7966, "prev_day_close": 11.8000001907349}, {"option": "DRAM270115P00053000", "bid": 11.95, "bid_size": 457.0, "ask": 12.5, "ask_size": 71.0, "iv": 0.8541, "open_interest": 154.0, "volume": 0.0, "delta": -0.4006, "gamma": 0.0132, "vega": 0.1324, "theta": -0.0338, "rho": -0.1196, "theo": 12.3351, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.86, "last_trade_time": "2026-07-30T12:13:01", "percent_change": 0.0, "prev_day_close": 12.5999999046326}, {"option": "DRAM270115C00054000", "bid": 10.7, "bid_size": 72.0, "ask": 11.35, "ask_size": 776.0, "iv": 0.8716, "open_interest": 671.0, "volume": 10.0, "delta": 0.5893, "gamma": 0.013, "vega": 0.1332, "theta": -0.0334, "rho": 0.0885, "theo": 10.8968, "change": -1.18, "open": 10.08, "high": 10.37, "low": 10.0, "tick": "down", "last_trade_price": 10.32, "last_trade_time": "2026-08-03T12:57:49", "percent_change": -10.2609, "prev_day_close": 11.5}, {"option": "DRAM270115P00054000", "bid": 12.55, "bid_size": 497.0, "ask": 13.7, "ask_size": 1455.0, "iv": 0.8746, "open_interest": 152.0, "volume": 42.0, "delta": -0.4133, "gamma": 0.0133, "vega": 0.1334, "theta": -0.034, "rho": -0.1234, "theo": 12.9556, "change": -0.45, "open": 12.65, "high": 12.82, "low": 12.65, "tick": "down", "last_trade_price": 12.8, "last_trade_time": "2026-08-03T15:35:22", "percent_change": -3.39623, "prev_day_close": 13.25}, {"option": "DRAM270115C00055000", "bid": 10.3, "bid_size": 633.0, "ask": 10.9, "ask_size": 718.0, "iv": 0.8658, "open_interest": 5949.0, "volume": 1099.0, "delta": 0.577, "gamma": 0.0131, "vega": 0.1341, "theta": -0.0337, "rho": 0.0872, "theo": 10.5429, "change": -0.05, "open": 9.5, "high": 10.73, "low": 9.05, "tick": "up", "last_trade_price": 10.65, "last_trade_time": "2026-08-03T15:59:11", "percent_change": -0.467288, "prev_day_close": 10.6999998092651}, {"option": "DRAM270115P00055000", "bid": 13.1, "bid_size": 495.0, "ask": 13.95, "ask_size": 827.0, "iv": 0.8568, "open_interest": 1399.0, "volume": 12.0, "delta": -0.426, "gamma": 0.0134, "vega": 0.1342, "theta": -0.0342, "rho": -0.1268, "theo": 13.5886, "change": -0.115, "open": 15.29, "high": 15.29, "low": 13.8, "tick": "up", "last_trade_price": 13.81, "last_trade_time": "2026-08-03T12:42:32", "percent_change": -0.825854, "prev_day_close": 13.9250001907349}, {"option": "DRAM270115C00056000", "bid": 10.0, "bid_size": 147.0, "ask": 10.6, "ask_size": 670.0, "iv": 0.8685, "open_interest": 460.0, "volume": 2.0, "delta": 0.5649, "gamma": 0.0132, "vega": 0.1349, "theta": -0.0339, "rho": 0.0859, "theo": 10.201, "change": -0.525, "open": 10.1, "high": 10.1, "low": 10.1, "tick": "down", "last_trade_price": 10.1, "last_trade_time": "2026-08-03T14:49:28", "percent_change": -4.94118, "prev_day_close": 10.625}, {"option": "DRAM270115P00056000", "bid": 13.75, "bid_size": 626.0, "ask": 14.5, "ask_size": 622.0, "iv": 0.8531, "open_interest": 95.0, "volume": 0.0, "delta": -0.4384, "gamma": 0.0135, "vega": 0.1349, "theta": -0.0343, "rho": -0.1307, "theo": 14.2337, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 16.91, "last_trade_time": "2026-07-28T09:43:43", "percent_change": 0.0, "prev_day_close": 14.4750003814697}, {"option": "DRAM270115C00057000", "bid": 9.5, "bid_size": 930.0, "ask": 10.2, "ask_size": 711.0, "iv": 0.8593, "open_interest": 2395.0, "volume": 22.0, "delta": 0.5529, "gamma": 0.0132, "vega": 0.1355, "theta": -0.0341, "rho": 0.0846, "theo": 9.8708, "change": -0.325, "open": 9.7, "high": 9.75, "low": 9.7, "tick": "up", "last_trade_price": 9.75, "last_trade_time": "2026-08-03T15:29:12", "percent_change": -3.2258, "prev_day_close": 10.0749998092651}, {"option": "DRAM270115P00057000", "bid": 14.5, "bid_size": 352.0, "ask": 15.25, "ask_size": 546.0, "iv": 0.8596, "open_interest": 123.0, "volume": 1.0, "delta": -0.4508, "gamma": 0.0136, "vega": 0.1354, "theta": -0.0344, "rho": -0.1338, "theo": 14.8914, "change": 0.17, "open": 15.22, "high": 15.22, "low": 15.22, "tick": "down", "last_trade_price": 15.22, "last_trade_time": "2026-08-03T13:11:17", "percent_change": 1.12957, "prev_day_close": 15.0500001907349}, {"option": "DRAM270115C00058000", "bid": 9.15, "bid_size": 603.0, "ask": 10.0, "ask_size": 823.0, "iv": 0.8623, "open_interest": 575.0, "volume": 0.0, "delta": 0.5411, "gamma": 0.0133, "vega": 0.136, "theta": -0.0343, "rho": 0.0832, "theo": 9.5522, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.75, "last_trade_time": "2026-07-31T15:27:49", "percent_change": 0.0, "prev_day_close": 10.0}, {"option": "DRAM270115P00058000", "bid": 15.15, "bid_size": 224.0, "ask": 16.75, "ask_size": 809.0, "iv": 0.8893, "open_interest": 70.0, "volume": 0.0, "delta": -0.4629, "gamma": 0.0137, "vega": 0.1358, "theta": -0.0345, "rho": -0.1373, "theo": 15.5614, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.03, "last_trade_time": "2026-07-31T12:46:34", "percent_change": 0.0, "prev_day_close": 16.1249995231628}, {"option": "DRAM270115C00059000", "bid": 9.0, "bid_size": 695.0, "ask": 10.4, "ask_size": 1536.0, "iv": 0.8938, "open_interest": 578.0, "volume": 0.0, "delta": 0.5294, "gamma": 0.0133, "vega": 0.1363, "theta": -0.0344, "rho": 0.0819, "theo": 9.2447, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.5, "last_trade_time": "2026-07-31T15:27:42", "percent_change": 0.0, "prev_day_close": 9.47500038146973}, {"option": "DRAM270115P00059000", "bid": 15.75, "bid_size": 249.0, "ask": 17.3, "ask_size": 804.0, "iv": 0.8812, "open_interest": 53.0, "volume": 0.0, "delta": -0.4749, "gamma": 0.0137, "vega": 0.1361, "theta": -0.0345, "rho": -0.1409, "theo": 16.2427, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.93, "last_trade_time": "2026-07-27T13:36:22", "percent_change": 0.0, "prev_day_close": 16.4750003814697}, {"option": "DRAM270115C00060000", "bid": 8.85, "bid_size": 10.0, "ask": 9.15, "ask_size": 170.0, "iv": 0.8641, "open_interest": 14218.0, "volume": 649.0, "delta": 0.5179, "gamma": 0.0134, "vega": 0.1366, "theta": -0.0345, "rho": 0.0805, "theo": 8.9481, "change": 0.0, "open": 8.0, "high": 9.2, "low": 7.8, "tick": "up", "last_trade_price": 9.1, "last_trade_time": "2026-08-03T15:52:58", "percent_change": -4.19197e-06, "prev_day_close": 9.10000038146973}, {"option": "DRAM270115P00060000", "bid": 16.55, "bid_size": 225.0, "ask": 17.15, "ask_size": 184.0, "iv": 0.8541, "open_interest": 2555.0, "volume": 1.0, "delta": -0.4868, "gamma": 0.0138, "vega": 0.1363, "theta": -0.0345, "rho": -0.1442, "theo": 16.9345, "change": -0.25, "open": 16.85, "high": 16.85, "low": 16.85, "tick": "up", "last_trade_price": 16.85, "last_trade_time": "2026-08-03T15:56:10", "percent_change": -1.46198, "prev_day_close": 17.0999994277954}, {"option": "DRAM270115C00061000", "bid": 8.55, "bid_size": 6.0, "ask": 9.1, "ask_size": 856.0, "iv": 0.8722, "open_interest": 441.0, "volume": 26.0, "delta": 0.5066, "gamma": 0.0134, "vega": 0.1367, "theta": -0.0346, "rho": 0.0792, "theo": 8.6617, "change": -0.375, "open": 8.43, "high": 8.6, "low": 8.43, "tick": "up", "last_trade_price": 8.6, "last_trade_time": "2026-08-03T15:57:18", "percent_change": -4.17827, "prev_day_close": 8.97499990463257}, {"option": "DRAM270115P00061000", "bid": 17.2, "bid_size": 278.0, "ask": 18.45, "ask_size": 864.0, "iv": 0.874, "open_interest": 211.0, "volume": 0.0, "delta": -0.4985, "gamma": 0.0138, "vega": 0.1364, "theta": -0.0345, "rho": -0.147, "theo": 17.6368, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.85, "last_trade_time": "2026-07-27T09:30:32", "percent_change": 0.0, "prev_day_close": 17.8250007629395}, {"option": "DRAM270115C00062000", "bid": 8.15, "bid_size": 545.0, "ask": 8.8, "ask_size": 909.0, "iv": 0.8667, "open_interest": 996.0, "volume": 5.0, "delta": 0.4955, "gamma": 0.0134, "vega": 0.1367, "theta": -0.0346, "rho": 0.0778, "theo": 8.3852, "change": -0.555, "open": 8.12, "high": 8.12, "low": 8.12, "tick": "no_change", "last_trade_price": 8.12, "last_trade_time": "2026-08-03T10:43:05", "percent_change": -6.3977, "prev_day_close": 8.67500019073486}, {"option": "DRAM270115P00062000", "bid": 17.9, "bid_size": 246.0, "ask": 18.65, "ask_size": 271.0, "iv": 0.8547, "open_interest": 44.0, "volume": 1.0, "delta": -0.51, "gamma": 0.0138, "vega": 0.1363, "theta": -0.0344, "rho": -0.1505, "theo": 18.3493, "change": -0.035, "open": 18.44, "high": 18.44, "low": 18.44, "tick": "down", "last_trade_price": 18.44, "last_trade_time": "2026-08-03T13:37:52", "percent_change": -0.189447, "prev_day_close": 18.4750003814697}, {"option": "DRAM270115C00063000", "bid": 7.9, "bid_size": 350.0, "ask": 8.5, "ask_size": 900.0, "iv": 0.8661, "open_interest": 184.0, "volume": 13.0, "delta": 0.4846, "gamma": 0.0134, "vega": 0.1366, "theta": -0.0346, "rho": 0.0765, "theo": 8.1184, "change": -0.47, "open": 7.52, "high": 8.18, "low": 7.52, "tick": "up", "last_trade_price": 8.18, "last_trade_time": "2026-08-03T14:08:55", "percent_change": -5.43353, "prev_day_close": 8.65000009536743}, {"option": "DRAM270115P00063000", "bid": 18.5, "bid_size": 354.0, "ask": 19.8, "ask_size": 611.0, "iv": 0.8659, "open_interest": 28.0, "volume": 0.0, "delta": -0.5213, "gamma": 0.0138, "vega": 0.136, "theta": -0.0344, "rho": -0.1529, "theo": 19.0722, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.45, "last_trade_time": "2026-07-30T09:30:12", "percent_change": 0.0, "prev_day_close": 19.4250001907349}, {"option": "DRAM270115C00064000", "bid": 7.6, "bid_size": 332.0, "ask": 8.2, "ask_size": 710.0, "iv": 0.863, "open_interest": 244.0, "volume": 1.0, "delta": 0.4738, "gamma": 0.0134, "vega": 0.1364, "theta": -0.0346, "rho": 0.0751, "theo": 7.8611, "change": -0.645, "open": 7.73, "high": 7.73, "low": 7.73, "tick": "down", "last_trade_price": 7.73, "last_trade_time": "2026-08-03T10:54:22", "percent_change": -7.70149, "prev_day_close": 8.375}, {"option": "DRAM270115P00064000", "bid": 19.25, "bid_size": 317.0, "ask": 20.95, "ask_size": 592.0, "iv": 0.8819, "open_interest": 28.0, "volume": 0.0, "delta": -0.5324, "gamma": 0.0138, "vega": 0.1356, "theta": -0.0343, "rho": -0.1558, "theo": 19.8051, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.95, "last_trade_time": "2026-07-29T15:56:26", "percent_change": 0.0, "prev_day_close": 19.9749994277954}, {"option": "DRAM270115C00065000", "bid": 7.25, "bid_size": 892.0, "ask": 8.1, "ask_size": 1006.0, "iv": 0.8648, "open_interest": 7128.0, "volume": 161.0, "delta": 0.4633, "gamma": 0.0133, "vega": 0.1361, "theta": -0.0345, "rho": 0.0737, "theo": 7.6129, "change": -0.25, "open": 6.86, "high": 7.66, "low": 6.5, "tick": "down", "last_trade_price": 7.65, "last_trade_time": "2026-08-03T14:07:36", "percent_change": -3.16456, "prev_day_close": 7.90000009536743}, {"option": "DRAM270115P00065000", "bid": 20.2, "bid_size": 170.0, "ask": 20.7, "ask_size": 90.0, "iv": 0.853, "open_interest": 704.0, "volume": 1.0, "delta": -0.5433, "gamma": 0.0138, "vega": 0.1352, "theta": -0.0341, "rho": -0.1588, "theo": 20.5476, "change": 0.8, "open": 21.5, "high": 21.5, "low": 21.5, "tick": "up", "last_trade_price": 21.5, "last_trade_time": "2026-08-03T10:23:43", "percent_change": 3.86474, "prev_day_close": 20.6999998092651}, {"option": "DRAM270115C00066000", "bid": 6.25, "bid_size": 1816.0, "ask": 7.75, "ask_size": 897.0, "iv": 0.8328, "open_interest": 1377.0, "volume": 0.0, "delta": 0.453, "gamma": 0.0133, "vega": 0.1358, "theta": -0.0345, "rho": 0.0723, "theo": 7.3735, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.45, "last_trade_time": "2026-07-31T09:34:32", "percent_change": 0.0, "prev_day_close": 8.0750002861023}, {"option": "DRAM270115P00066000", "bid": 20.85, "bid_size": 256.0, "ask": 22.35, "ask_size": 641.0, "iv": 0.8827, "open_interest": 48.0, "volume": 0.0, "delta": -0.554, "gamma": 0.0138, "vega": 0.1349, "theta": -0.034, "rho": -0.1618, "theo": 21.2987, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 21.5, "last_trade_time": "2026-07-31T14:31:01", "percent_change": 0.0, "prev_day_close": 21.5249996185303}, {"option": "DRAM270115C00067000", "bid": 6.9, "bid_size": 767.0, "ask": 7.45, "ask_size": 846.0, "iv": 0.8629, "open_interest": 1205.0, "volume": 9.0, "delta": 0.4428, "gamma": 0.0132, "vega": 0.1353, "theta": -0.0344, "rho": 0.071, "theo": 7.1426, "change": -1.05, "open": 6.4, "high": 6.65, "low": 6.4, "tick": "up", "last_trade_price": 6.65, "last_trade_time": "2026-08-03T10:24:52", "percent_change": -13.6364, "prev_day_close": 7.70000004768372}, {"option": "DRAM270115P00067000", "bid": 20.95, "bid_size": 908.0, "ask": 22.45, "ask_size": 439.0, "iv": 0.8337, "open_interest": 220.0, "volume": 0.0, "delta": -0.5646, "gamma": 0.0138, "vega": 0.1343, "theta": -0.0338, "rho": -0.1641, "theo": 22.0584, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.85, "last_trade_time": "2026-07-06T11:07:11", "percent_change": 0.0, "prev_day_close": 22.1499996185303}, {"option": "DRAM270115C00068000", "bid": 6.6, "bid_size": 631.0, "ask": 7.3, "ask_size": 840.0, "iv": 0.863, "open_interest": 10135.0, "volume": 64.0, "delta": 0.4329, "gamma": 0.0132, "vega": 0.1348, "theta": -0.0343, "rho": 0.0697, "theo": 6.9197, "change": -0.5, "open": 6.28, "high": 6.9, "low": 6.15, "tick": "up", "last_trade_price": 6.9, "last_trade_time": "2026-08-03T15:39:11", "percent_change": -6.75675, "prev_day_close": 7.39999985694885}, {"option": "DRAM270115P00068000", "bid": 22.3, "bid_size": 269.0, "ask": 23.1, "ask_size": 200.0, "iv": 0.8512, "open_interest": 49.0, "volume": 1.0, "delta": -0.575, "gamma": 0.0137, "vega": 0.1336, "theta": -0.0336, "rho": -0.167, "theo": 22.8264, "change": 1.625, "open": 24.6, "high": 24.6, "low": 24.6, "tick": "up", "last_trade_price": 24.6, "last_trade_time": "2026-08-03T10:17:41", "percent_change": 7.07291, "prev_day_close": 22.9749994277954}, {"option": "DRAM270115C00069000", "bid": 6.45, "bid_size": 571.0, "ask": 8.0, "ask_size": 1696.0, "iv": 0.8996, "open_interest": 655.0, "volume": 12.0, "delta": 0.4231, "gamma": 0.0131, "vega": 0.1342, "theta": -0.0342, "rho": 0.0684, "theo": 6.7046, "change": -0.635, "open": 5.89, "high": 6.64, "low": 5.89, "tick": "up", "last_trade_price": 6.64, "last_trade_time": "2026-08-03T12:30:01", "percent_change": -8.72852, "prev_day_close": 7.27500009536743}, {"option": "DRAM270115P00069000", "bid": 22.95, "bid_size": 418.0, "ask": 23.9, "ask_size": 230.0, "iv": 0.8475, "open_interest": 4.0, "volume": 10.0, "delta": -0.5851, "gamma": 0.0137, "vega": 0.1329, "theta": -0.0334, "rho": -0.1692, "theo": 23.6024, "change": -0.61, "open": 23.29, "high": 23.29, "low": 23.29, "tick": "up", "last_trade_price": 23.29, "last_trade_time": "2026-08-03T14:09:23", "percent_change": -2.5523, "prev_day_close": 23.9000005722046}, {"option": "DRAM270115C00070000", "bid": 6.4, "bid_size": 6.0, "ask": 6.8, "ask_size": 770.0, "iv": 0.8689, "open_interest": 18169.0, "volume": 606.0, "delta": 0.4136, "gamma": 0.013, "vega": 0.1335, "theta": -0.034, "rho": 0.0671, "theo": 6.497, "change": -0.225, "open": 5.8, "high": 6.65, "low": 5.55, "tick": "down", "last_trade_price": 6.5, "last_trade_time": "2026-08-03T15:55:02", "percent_change": -3.34572, "prev_day_close": 6.72499990463257}, {"option": "DRAM270115P00070000", "bid": 23.9, "bid_size": 313.0, "ask": 24.5, "ask_size": 10.0, "iv": 0.8469, "open_interest": 314.0, "volume": 17.0, "delta": -0.5951, "gamma": 0.0136, "vega": 0.1319, "theta": -0.0332, "rho": -0.1708, "theo": 24.3868, "change": -0.35, "open": 25.55, "high": 25.55, "low": 24.2, "tick": "down", "last_trade_price": 24.2, "last_trade_time": "2026-08-03T15:56:10", "percent_change": -1.42566, "prev_day_close": 24.5500001907349}, {"option": "DRAM270115C00071000", "bid": 6.05, "bid_size": 501.0, "ask": 6.55, "ask_size": 675.0, "iv": 0.8616, "open_interest": 187.0, "volume": 10.0, "delta": 0.4042, "gamma": 0.013, "vega": 0.1328, "theta": -0.0338, "rho": 0.0658, "theo": 6.2968, "change": -0.235, "open": 6.39, "high": 6.39, "low": 6.39, "tick": "down", "last_trade_price": 6.39, "last_trade_time": "2026-08-03T11:02:48", "percent_change": -3.54717, "prev_day_close": 6.625}, {"option": "DRAM270115P00071000", "bid": 24.2, "bid_size": 834.0, "ask": 25.6, "ask_size": 701.0, "iv": 0.84, "open_interest": 510.0, "volume": 0.0, "delta": -0.6049, "gamma": 0.0136, "vega": 0.1309, "theta": -0.0329, "rho": -0.1732, "theo": 25.179, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.28, "last_trade_time": "2026-07-29T11:03:02", "percent_change": 0.0, "prev_day_close": 25.375}, {"option": "DRAM270115C00072000", "bid": 5.4, "bid_size": 1525.0, "ask": 6.55, "ask_size": 1049.0, "iv": 0.8519, "open_interest": 1703.0, "volume": 0.0, "delta": 0.3951, "gamma": 0.0129, "vega": 0.132, "theta": -0.0337, "rho": 0.0645, "theo": 6.1037, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.97, "last_trade_time": "2026-07-30T12:22:10", "percent_change": 0.0, "prev_day_close": 6.34999990463257}, {"option": "DRAM270115P00072000", "bid": 25.45, "bid_size": 204.0, "ask": 26.95, "ask_size": 533.0, "iv": 0.8787, "open_interest": 31.0, "volume": 0.0, "delta": -0.6144, "gamma": 0.0135, "vega": 0.13, "theta": -0.0326, "rho": -0.1755, "theo": 25.9787, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.0, "last_trade_time": "2026-07-15T13:27:26", "percent_change": 0.0, "prev_day_close": 26.1499996185303}, {"option": "DRAM270115C00073000", "bid": 5.7, "bid_size": 576.0, "ask": 6.15, "ask_size": 658.0, "iv": 0.8626, "open_interest": 6087.0, "volume": 1.0, "delta": 0.3862, "gamma": 0.0128, "vega": 0.1311, "theta": -0.0335, "rho": 0.0632, "theo": 5.9175, "change": -0.23, "open": 5.97, "high": 5.97, "low": 5.97, "tick": "down", "last_trade_price": 5.97, "last_trade_time": "2026-08-03T14:27:04", "percent_change": -3.70967, "prev_day_close": 6.19999980926514}, {"option": "DRAM270115P00073000", "bid": 26.25, "bid_size": 444.0, "ask": 27.9, "ask_size": 743.0, "iv": 0.8844, "open_interest": 191.0, "volume": 0.0, "delta": -0.6238, "gamma": 0.0134, "vega": 0.1291, "theta": -0.0324, "rho": -0.1788, "theo": 26.7852, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 28.8, "last_trade_time": "2026-07-28T11:49:52", "percent_change": 0.0, "prev_day_close": 26.9749994277954}, {"option": "DRAM270115C00074000", "bid": 4.9, "bid_size": 1566.0, "ask": 6.4, "ask_size": 1318.0, "iv": 0.8556, "open_interest": 237.0, "volume": 2.0, "delta": 0.3774, "gamma": 0.0127, "vega": 0.1302, "theta": -0.0333, "rho": 0.062, "theo": 5.7378, "change": -1.45, "open": 5.0, "high": 5.0, "low": 5.0, "tick": "down", "last_trade_price": 5.0, "last_trade_time": "2026-08-03T09:47:10", "percent_change": -22.4806, "prev_day_close": 6.44999980926514}, {"option": "DRAM270115P00074000", "bid": 27.05, "bid_size": 214.0, "ask": 28.75, "ask_size": 548.0, "iv": 0.8858, "open_interest": 20.0, "volume": 0.0, "delta": -0.633, "gamma": 0.0134, "vega": 0.128, "theta": -0.0321, "rho": -0.1796, "theo": 27.5983, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.97, "last_trade_time": "2026-07-06T15:09:31", "percent_change": 0.0, "prev_day_close": 27.7250003814697}, {"option": "DRAM270115C00075000", "bid": 5.15, "bid_size": 1127.0, "ask": 6.25, "ask_size": 1278.0, "iv": 0.8732, "open_interest": 6985.0, "volume": 95.0, "delta": 0.3689, "gamma": 0.0126, "vega": 0.1293, "theta": -0.0331, "rho": 0.0608, "theo": 5.5643, "change": -0.445, "open": 5.0, "high": 5.7, "low": 4.7, "tick": "down", "last_trade_price": 5.43, "last_trade_time": "2026-08-03T15:36:52", "percent_change": -7.57447, "prev_day_close": 5.875}, {"option": "DRAM270115P00075000", "bid": 27.9, "bid_size": 330.0, "ask": 28.8, "ask_size": 398.0, "iv": 0.8573, "open_interest": 135.0, "volume": 0.0, "delta": -0.642, "gamma": 0.0133, "vega": 0.1268, "theta": -0.0318, "rho": -0.1808, "theo": 28.4179, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.7, "last_trade_time": "2026-07-30T13:52:32", "percent_change": 0.0, "prev_day_close": 28.6000003814697}, {"option": "DRAM270115C00076000", "bid": 4.7, "bid_size": 1266.0, "ask": 5.65, "ask_size": 716.0, "iv": 0.8457, "open_interest": 284.0, "volume": 0.0, "delta": 0.3605, "gamma": 0.0125, "vega": 0.1283, "theta": -0.0328, "rho": 0.0596, "theo": 5.3969, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.83, "last_trade_time": "2026-07-31T09:44:22", "percent_change": 0.0, "prev_day_close": 5.89999985694885}, {"option": "DRAM270115P00076000", "bid": 28.75, "bid_size": 185.0, "ask": 30.35, "ask_size": 714.0, "iv": 0.8874, "open_interest": 151.0, "volume": 0.0, "delta": -0.6509, "gamma": 0.0132, "vega": 0.1258, "theta": -0.0315, "rho": -0.1828, "theo": 29.2437, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.42, "last_trade_time": "2026-07-27T10:19:41", "percent_change": 0.0, "prev_day_close": 29.625}, {"option": "DRAM270115C00077000", "bid": 4.75, "bid_size": 772.0, "ask": 5.95, "ask_size": 1366.0, "iv": 0.8725, "open_interest": 136.0, "volume": 0.0, "delta": 0.3524, "gamma": 0.0124, "vega": 0.1273, "theta": -0.0326, "rho": 0.0584, "theo": 5.2352, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 5.65, "last_trade_time": "2026-07-31T12:40:04", "percent_change": 0.0, "prev_day_close": 5.90000009536743}, {"option": "DRAM270115P00077000", "bid": 29.55, "bid_size": 203.0, "ask": 31.2, "ask_size": 490.0, "iv": 0.8874, "open_interest": 8.0, "volume": 0.0, "delta": -0.6595, "gamma": 0.0131, "vega": 0.1243, "theta": -0.0311, "rho": -0.184, "theo": 30.0759, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 34.48, "last_trade_time": "2026-07-29T11:45:54", "percent_change": 0.0, "prev_day_close": 30.3500003814697}, {"option": "DRAM270115C00078000", "bid": 4.7, "bid_size": 945.0, "ask": 5.85, "ask_size": 1448.0, "iv": 0.8794, "open_interest": 224.0, "volume": 9.0, "delta": 0.3444, "gamma": 0.0123, "vega": 0.1262, "theta": -0.0323, "rho": 0.0573, "theo": 5.0791, "change": -0.675, "open": 4.83, "high": 5.1, "low": 4.83, "tick": "up", "last_trade_price": 5.1, "last_trade_time": "2026-08-03T14:52:25", "percent_change": -11.6883, "prev_day_close": 5.77499985694885}, {"option": "DRAM270115P00078000", "bid": 30.25, "bid_size": 302.0, "ask": 31.8, "ask_size": 458.0, "iv": 0.8729, "open_interest": 40.0, "volume": 0.0, "delta": -0.668, "gamma": 0.013, "vega": 0.123, "theta": -0.0308, "rho": -0.1854, "theo": 30.9142, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.87, "last_trade_time": "2026-07-09T14:36:56", "percent_change": 0.0, "prev_day_close": 31.0249996185303}, {"option": "DRAM270115C00079000", "bid": 4.7, "bid_size": 285.0, "ask": 5.2, "ask_size": 738.0, "iv": 0.866, "open_interest": 72.0, "volume": 1.0, "delta": 0.3366, "gamma": 0.0122, "vega": 0.1251, "theta": -0.0321, "rho": 0.0561, "theo": 4.9286, "change": -0.6, "open": 5.05, "high": 5.05, "low": 5.05, "tick": "down", "last_trade_price": 5.05, "last_trade_time": "2026-08-03T14:17:40", "percent_change": -10.6195, "prev_day_close": 5.64999985694885}, {"option": "DRAM270115P00079000", "bid": 31.1, "bid_size": 245.0, "ask": 32.85, "ask_size": 443.0, "iv": 0.8821, "open_interest": 12.0, "volume": 0.0, "delta": -0.6762, "gamma": 0.0129, "vega": 0.1215, "theta": -0.0305, "rho": -0.1874, "theo": 31.7585, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 35.17, "last_trade_time": "2026-07-28T09:54:47", "percent_change": 0.0, "prev_day_close": 31.8250007629394}, {"option": "DRAM270115C00080000", "bid": 4.65, "bid_size": 10.0, "ask": 5.0, "ask_size": 793.0, "iv": 0.8681, "open_interest": 13594.0, "volume": 2197.0, "delta": 0.329, "gamma": 0.0121, "vega": 0.1239, "theta": -0.0318, "rho": 0.0549, "theo": 4.7833, "change": -0.25, "open": 4.0, "high": 5.0, "low": 4.0, "tick": "down", "last_trade_price": 4.75, "last_trade_time": "2026-08-03T15:44:22", "percent_change": -5.0, "prev_day_close": 5.0}, {"option": "DRAM270115P00080000", "bid": 32.0, "bid_size": 420.0, "ask": 33.0, "ask_size": 290.0, "iv": 0.8557, "open_interest": 276.0, "volume": 0.0, "delta": -0.6843, "gamma": 0.0128, "vega": 0.1203, "theta": -0.0301, "rho": -0.1885, "theo": 32.6083, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.77, "last_trade_time": "2026-07-30T13:50:26", "percent_change": 0.0, "prev_day_close": 32.7250003814697}, {"option": "DRAM270115C00081000", "bid": 4.05, "bid_size": 1199.0, "ask": 4.95, "ask_size": 1039.0, "iv": 0.8535, "open_interest": 154.0, "volume": 0.0, "delta": 0.3215, "gamma": 0.0119, "vega": 0.1228, "theta": -0.0315, "rho": 0.0538, "theo": 4.643, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.5, "last_trade_time": "2026-07-30T09:33:10", "percent_change": 0.0, "prev_day_close": 5.375}, {"option": "DRAM270115P00081000", "bid": 32.75, "bid_size": 336.0, "ask": 34.55, "ask_size": 569.0, "iv": 0.8809, "open_interest": 31.0, "volume": 0.0, "delta": -0.6922, "gamma": 0.0127, "vega": 0.119, "theta": -0.0297, "rho": -0.1912, "theo": 33.4631, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.89, "last_trade_time": "2026-07-21T11:25:27", "percent_change": 0.0, "prev_day_close": 33.5249996185303}, {"option": "DRAM270115C00082000", "bid": 4.2, "bid_size": 544.0, "ask": 4.75, "ask_size": 705.0, "iv": 0.863, "open_interest": 413.0, "volume": 216.0, "delta": 0.3143, "gamma": 0.0118, "vega": 0.1216, "theta": -0.0312, "rho": 0.0527, "theo": 4.5076, "change": -0.17, "open": 3.9, "high": 4.58, "low": 3.9, "tick": "down", "last_trade_price": 4.48, "last_trade_time": "2026-08-03T15:52:15", "percent_change": -3.65592, "prev_day_close": 4.65000009536743}, {"option": "DRAM270115P00082000", "bid": 33.8, "bid_size": 276.0, "ask": 34.95, "ask_size": 426.0, "iv": 0.8701, "open_interest": 14.0, "volume": 0.0, "delta": -0.6999, "gamma": 0.0126, "vega": 0.1176, "theta": -0.0294, "rho": -0.1908, "theo": 34.3228, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 30.7, "last_trade_time": "2026-07-21T11:25:27", "percent_change": 0.0, "prev_day_close": 34.3500003814697}, {"option": "DRAM270115C00083000", "bid": 3.8, "bid_size": 1230.0, "ask": 4.6, "ask_size": 853.0, "iv": 0.8514, "open_interest": 107.0, "volume": 3.0, "delta": 0.3072, "gamma": 0.0117, "vega": 0.1204, "theta": -0.031, "rho": 0.0517, "theo": 4.3769, "change": -0.67, "open": 4.08, "high": 4.08, "low": 4.08, "tick": "down", "last_trade_price": 4.08, "last_trade_time": "2026-08-03T12:31:15", "percent_change": -14.1053, "prev_day_close": 4.75}, {"option": "DRAM270115P00083000", "bid": 34.6, "bid_size": 234.0, "ask": 36.05, "ask_size": 405.0, "iv": 0.878, "open_interest": 11.0, "volume": 0.0, "delta": -0.7075, "gamma": 0.0125, "vega": 0.1161, "theta": -0.029, "rho": -0.1914, "theo": 35.1875, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 29.92, "last_trade_time": "2026-07-14T12:39:54", "percent_change": 0.0, "prev_day_close": 35.1749992370606}, {"option": "DRAM270115C00084000", "bid": 3.85, "bid_size": 1120.0, "ask": 4.6, "ask_size": 1205.0, "iv": 0.8645, "open_interest": 6237.0, "volume": 23.0, "delta": 0.3003, "gamma": 0.0116, "vega": 0.1192, "theta": -0.0307, "rho": 0.0506, "theo": 4.2505, "change": -0.75, "open": 3.8, "high": 4.24, "low": 3.8, "tick": "down", "last_trade_price": 3.9, "last_trade_time": "2026-08-03T12:59:52", "percent_change": -16.129, "prev_day_close": 4.65000009536743}, {"option": "DRAM270115P00084000", "bid": 35.55, "bid_size": 201.0, "ask": 37.1, "ask_size": 418.0, "iv": 0.8899, "open_interest": 57.0, "volume": 0.0, "delta": -0.715, "gamma": 0.0124, "vega": 0.1146, "theta": -0.0286, "rho": -0.1924, "theo": 36.057, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 39.5, "last_trade_time": "2026-07-28T10:31:15", "percent_change": 0.0, "prev_day_close": 36.0749988555908}, {"option": "DRAM270115C00085000", "bid": 3.85, "bid_size": 825.0, "ask": 4.45, "ask_size": 1133.0, "iv": 0.869, "open_interest": 1423.0, "volume": 33.0, "delta": 0.2935, "gamma": 0.0114, "vega": 0.118, "theta": -0.0304, "rho": 0.0496, "theo": 4.1284, "change": -0.4, "open": 3.75, "high": 4.28, "low": 3.75, "tick": "no_change", "last_trade_price": 4.1, "last_trade_time": "2026-08-03T15:32:16", "percent_change": -8.88889, "prev_day_close": 4.5}, {"option": "DRAM270115P00085000", "bid": 36.3, "bid_size": 281.0, "ask": 37.75, "ask_size": 370.0, "iv": 0.8755, "open_interest": 52.0, "volume": 0.0, "delta": -0.7222, "gamma": 0.0123, "vega": 0.1132, "theta": -0.0283, "rho": -0.1934, "theo": 36.931, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 32.8, "last_trade_time": "2026-07-23T13:52:58", "percent_change": 0.0, "prev_day_close": 37.3249988555908}, {"option": "DRAM270115C00086000", "bid": 3.55, "bid_size": 788.0, "ask": 4.35, "ask_size": 970.0, "iv": 0.8625, "open_interest": 89.0, "volume": 0.0, "delta": 0.287, "gamma": 0.0113, "vega": 0.1167, "theta": -0.0301, "rho": 0.0486, "theo": 4.0104, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.0, "last_trade_time": "2026-07-30T10:26:41", "percent_change": 0.0, "prev_day_close": 4.35000002384186}, {"option": "DRAM270115P00086000", "bid": 37.2, "bid_size": 278.0, "ask": 38.9, "ask_size": 480.0, "iv": 0.8891, "open_interest": 11.0, "volume": 0.0, "delta": -0.7293, "gamma": 0.0122, "vega": 0.1115, "theta": -0.0279, "rho": -0.1936, "theo": 37.8096, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 40.71, "last_trade_time": "2026-07-28T12:37:22", "percent_change": 0.0, "prev_day_close": 37.9749984741211}, {"option": "DRAM270115C00087000", "bid": 3.65, "bid_size": 824.0, "ask": 4.25, "ask_size": 1218.0, "iv": 0.8729, "open_interest": 5509.0, "volume": 0.0, "delta": 0.2805, "gamma": 0.0112, "vega": 0.1155, "theta": -0.0298, "rho": 0.0476, "theo": 3.8965, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.21, "last_trade_time": "2026-07-30T12:06:50", "percent_change": 0.0, "prev_day_close": 4.375}, {"option": "DRAM270115P00087000", "bid": 37.95, "bid_size": 289.0, "ask": 39.8, "ask_size": 405.0, "iv": 0.8848, "open_interest": 0.0, "volume": 0.0, "delta": -0.7363, "gamma": 0.0121, "vega": 0.11, "theta": -0.0275, "rho": -0.194, "theo": 38.6926, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.6499996185303}, {"option": "DRAM270115C00088000", "bid": 3.6, "bid_size": 275.0, "ask": 4.5, "ask_size": 1744.0, "iv": 0.8918, "open_interest": 48.0, "volume": 2.0, "delta": 0.2743, "gamma": 0.0111, "vega": 0.1142, "theta": -0.0294, "rho": 0.0466, "theo": 3.7864, "change": -0.575, "open": 3.5, "high": 3.5, "low": 3.5, "tick": "down", "last_trade_price": 3.5, "last_trade_time": "2026-08-03T11:10:04", "percent_change": -14.1104, "prev_day_close": 4.07500004768372}, {"option": "DRAM270115P00088000", "bid": 39.0, "bid_size": 201.0, "ask": 40.65, "ask_size": 358.0, "iv": 0.8913, "open_interest": 10.0, "volume": 0.0, "delta": -0.743, "gamma": 0.012, "vega": 0.1083, "theta": -0.0271, "rho": -0.1952, "theo": 39.5799, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 25.85, "last_trade_time": "2026-06-18T09:44:09", "percent_change": 0.0, "prev_day_close": 39.5750007629394}, {"option": "DRAM270115C00089000", "bid": 2.88, "bid_size": 1341.0, "ask": 4.05, "ask_size": 1100.0, "iv": 0.85, "open_interest": 19.0, "volume": 0.0, "delta": 0.2682, "gamma": 0.0109, "vega": 0.1129, "theta": -0.0291, "rho": 0.0456, "theo": 3.6801, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.8, "last_trade_time": "2026-07-29T11:43:04", "percent_change": 0.0, "prev_day_close": 4.35000002384186}, {"option": "DRAM270115P00089000", "bid": 39.8, "bid_size": 281.0, "ask": 41.55, "ask_size": 485.0, "iv": 0.8883, "open_interest": 12.0, "volume": 0.0, "delta": -0.7496, "gamma": 0.0119, "vega": 0.107, "theta": -0.0267, "rho": -0.1952, "theo": 40.471, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 37.43, "last_trade_time": "2026-07-13T14:05:15", "percent_change": 0.0, "prev_day_close": 40.5249996185303}, {"option": "DRAM270115C00090000", "bid": 3.1, "bid_size": 1119.0, "ask": 4.45, "ask_size": 2110.0, "iv": 0.8876, "open_interest": 3440.0, "volume": 1091.0, "delta": 0.2622, "gamma": 0.0108, "vega": 0.1116, "theta": -0.0288, "rho": 0.0447, "theo": 3.5773, "change": -0.225, "open": 3.4, "high": 3.62, "low": 3.05, "tick": "down", "last_trade_price": 3.6, "last_trade_time": "2026-08-03T14:16:56", "percent_change": -5.88235, "prev_day_close": 3.82499992847443}, {"option": "DRAM270115P00090000", "bid": 40.9, "bid_size": 137.0, "ask": 41.9, "ask_size": 213.0, "iv": 0.8732, "open_interest": 105.0, "volume": 0.0, "delta": -0.7561, "gamma": 0.0118, "vega": 0.1054, "theta": -0.0263, "rho": -0.1969, "theo": 41.3659, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 41.5, "last_trade_time": "2026-07-31T11:04:43", "percent_change": 0.0, "prev_day_close": 41.3999996185303}, {"option": "DRAM270115C00095000", "bid": 2.52, "bid_size": 1919.0, "ask": 3.25, "ask_size": 601.0, "iv": 0.8508, "open_interest": 4787.0, "volume": 211.0, "delta": 0.2345, "gamma": 0.0101, "vega": 0.1052, "theta": -0.0272, "rho": 0.0404, "theo": 3.1124, "change": -0.28, "open": 2.88, "high": 3.12, "low": 2.88, "tick": "up", "last_trade_price": 3.12, "last_trade_time": "2026-08-03T15:47:29", "percent_change": -8.23529, "prev_day_close": 3.39999997615814}, {"option": "DRAM270115P00095000", "bid": 45.3, "bid_size": 159.0, "ask": 46.35, "ask_size": 150.0, "iv": 0.8658, "open_interest": 18.0, "volume": 0.0, "delta": -0.7865, "gamma": 0.0112, "vega": 0.0974, "theta": -0.0243, "rho": -0.1948, "theo": 45.8926, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 48.65, "last_trade_time": "2026-07-28T12:00:39", "percent_change": 0.0, "prev_day_close": 45.875}, {"option": "DRAM270115C00100000", "bid": 2.4, "bid_size": 1056.0, "ask": 2.85, "ask_size": 693.0, "iv": 0.8663, "open_interest": 4777.0, "volume": 3963.0, "delta": 0.2101, "gamma": 0.0095, "vega": 0.0987, "theta": -0.0257, "rho": 0.0364, "theo": 2.7185, "change": -0.25, "open": 2.6, "high": 2.8, "low": 2.09, "tick": "down", "last_trade_price": 2.63, "last_trade_time": "2026-08-03T15:59:49", "percent_change": -8.68056, "prev_day_close": 2.87999999523163}, {"option": "DRAM270115P00100000", "bid": 49.95, "bid_size": 153.0, "ask": 51.15, "ask_size": 328.0, "iv": 0.8818, "open_interest": 122.0, "volume": 0.0, "delta": -0.8136, "gamma": 0.0106, "vega": 0.0891, "theta": -0.0224, "rho": -0.193, "theo": 50.4979, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 50.8, "last_trade_time": "2026-07-31T15:34:43", "percent_change": 0.0, "prev_day_close": 50.5500011444092}, {"option": "DRAM270115C00105000", "bid": 2.3, "bid_size": 2.0, "ask": 2.52, "ask_size": 850.0, "iv": 0.882, "open_interest": 8277.0, "volume": 31.0, "delta": 0.1886, "gamma": 0.0088, "vega": 0.0925, "theta": -0.0241, "rho": 0.0329, "theo": 2.384, "change": -0.37, "open": 1.77, "high": 2.24, "low": 1.76, "tick": "down", "last_trade_price": 2.17, "last_trade_time": "2026-08-03T12:53:30", "percent_change": -14.5669, "prev_day_close": 2.53999996185303}, {"option": "DRAM270115P00105000", "bid": 54.5, "bid_size": 651.0, "ask": 56.2, "ask_size": 766.0, "iv": 0.9013, "open_interest": 286.0, "volume": 0.0, "delta": -0.838, "gamma": 0.0101, "vega": 0.081, "theta": -0.0204, "rho": -0.1858, "theo": 55.1679, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 41.21, "last_trade_time": "2026-06-26T10:09:35", "percent_change": 0.0, "prev_day_close": 55.1749992370606}, {"option": "DRAM270115C00110000", "bid": 1.62, "bid_size": 1295.0, "ask": 2.37, "ask_size": 1310.0, "iv": 0.8702, "open_interest": 525.0, "volume": 6.0, "delta": 0.1696, "gamma": 0.0082, "vega": 0.0865, "theta": -0.0226, "rho": 0.0298, "theo": 2.0982, "change": -0.355, "open": 2.55, "high": 2.55, "low": 1.8, "tick": "up", "last_trade_price": 2.07, "last_trade_time": "2026-08-03T14:26:18", "percent_change": -14.6392, "prev_day_close": 2.42499995231628}, {"option": "DRAM270115P00110000", "bid": 59.1, "bid_size": 292.0, "ask": 60.95, "ask_size": 289.0, "iv": 0.9002, "open_interest": 1.0, "volume": 0.0, "delta": -0.8597, "gamma": 0.0096, "vega": 0.073, "theta": -0.0185, "rho": -0.1816, "theo": 59.8935, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 47.05, "last_trade_time": "2026-06-29T12:07:30", "percent_change": 0.0, "prev_day_close": 59.875}, {"option": "DRAM270115C00115000", "bid": 1.5, "bid_size": 827.0, "ask": 2.2, "ask_size": 1293.0, "iv": 0.8852, "open_interest": 2537.0, "volume": 309.0, "delta": 0.1529, "gamma": 0.0077, "vega": 0.0808, "theta": -0.0212, "rho": 0.0269, "theo": 1.8537, "change": -0.26, "open": 1.78, "high": 1.9, "low": 1.65, "tick": "no_change", "last_trade_price": 1.8, "last_trade_time": "2026-08-03T14:15:52", "percent_change": -12.6214, "prev_day_close": 2.06000000238419}, {"option": "DRAM270115P00115000", "bid": 64.0, "bid_size": 100.0, "ask": 65.75, "ask_size": 253.0, "iv": 0.9167, "open_interest": 24.0, "volume": 0.0, "delta": -0.8794, "gamma": 0.0091, "vega": 0.0652, "theta": -0.0168, "rho": -0.1693, "theo": 64.6653, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 64.96, "last_trade_time": "2026-07-30T12:11:29", "percent_change": 0.0, "prev_day_close": 64.5249996185303}, {"option": "DRAM270115C00122000", "bid": 1.34, "bid_size": 800.0, "ask": 1.74, "ask_size": 1230.0, "iv": 0.8865, "open_interest": 3291.0, "volume": 373.0, "delta": 0.1327, "gamma": 0.0069, "vega": 0.0734, "theta": -0.0193, "rho": 0.0235, "theo": 1.5675, "change": -0.295, "open": 1.45, "high": 1.63, "low": 1.31, "tick": "no_change", "last_trade_price": 1.45, "last_trade_time": "2026-08-03T15:56:21", "percent_change": -16.9054, "prev_day_close": 1.74500000476837}, {"option": "DRAM270115P00122000", "bid": 69.7, "bid_size": 34.0, "ask": 72.5, "ask_size": 49.0, "iv": 0.8214, "open_interest": 10.0, "volume": 0.0, "delta": -0.9037, "gamma": 0.0085, "vega": 0.0549, "theta": -0.0142, "rho": -0.1569, "theo": 71.4121, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 68.9, "last_trade_time": "2026-07-27T09:34:08", "percent_change": 0.0, "prev_day_close": 71.3499984741211}, {"option": "DRAM270219C00025000", "bid": 27.5, "bid_size": 64.0, "ask": 30.25, "ask_size": 135.0, "iv": 1.066, "open_interest": 1.0, "volume": 0.0, "delta": 0.9152, "gamma": 0.0042, "vega": 0.056, "theta": -0.0098, "rho": 0.0936, "theo": 28.0292, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.86, "last_trade_time": "2026-07-31T15:56:50", "percent_change": 0.0, "prev_day_close": 28.5500001907349}, {"option": "DRAM270219P00025000", "bid": 1.17, "bid_size": 1094.0, "ask": 1.95, "ask_size": 959.0, "iv": 0.9003, "open_interest": 0.0, "volume": 1.0, "delta": -0.079, "gamma": 0.0042, "vega": 0.0559, "theta": -0.0127, "rho": -0.0291, "theo": 1.6899, "change": 0.25, "open": 1.88, "high": 1.88, "low": 1.88, "tick": "up", "last_trade_price": 1.88, "last_trade_time": "2026-08-03T09:54:24", "percent_change": 15.3374, "prev_day_close": 1.62999999523163}, {"option": "DRAM270219C00030000", "bid": 23.2, "bid_size": 452.0, "ask": 25.3, "ask_size": 10.0, "iv": 0.8915, "open_interest": 0.0, "volume": 0.0, "delta": 0.8704, "gamma": 0.006, "vega": 0.0774, "theta": -0.0148, "rho": 0.105, "theo": 24.345, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 24.9249992370605}, {"option": "DRAM270219P00030000", "bid": 2.43, "bid_size": 905.0, "ask": 3.1, "ask_size": 547.0, "iv": 0.8864, "open_interest": 3.0, "volume": 0.0, "delta": -0.1238, "gamma": 0.006, "vega": 0.0774, "theta": -0.0172, "rho": -0.0459, "theo": 2.8991, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.23, "last_trade_time": "2026-07-29T15:04:35", "percent_change": 0.0, "prev_day_close": 3.2150000333786}, {"option": "DRAM270219C00031000", "bid": 22.55, "bid_size": 223.0, "ask": 25.4, "ask_size": 200.0, "iv": 0.9394, "open_interest": 67.0, "volume": 0.0, "delta": 0.8605, "gamma": 0.0063, "vega": 0.0816, "theta": -0.0157, "rho": 0.1065, "theo": 23.6566, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 23.96, "last_trade_time": "2026-07-30T11:18:44", "percent_change": 0.0, "prev_day_close": 24.1499996185303}, {"option": "DRAM270219P00031000", "bid": 2.78, "bid_size": 6.0, "ask": 3.95, "ask_size": 2122.0, "iv": 0.9222, "open_interest": 101.0, "volume": 0.0, "delta": -0.1337, "gamma": 0.0063, "vega": 0.0816, "theta": -0.0181, "rho": -0.0498, "theo": 3.1891, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.0, "last_trade_time": "2026-07-28T13:57:35", "percent_change": 0.0, "prev_day_close": 3.72500014305115}, {"option": "DRAM270219C00032000", "bid": 21.85, "bid_size": 99.0, "ask": 24.8, "ask_size": 104.0, "iv": 0.9371, "open_interest": 1.0, "volume": 0.0, "delta": 0.8503, "gamma": 0.0066, "vega": 0.0857, "theta": -0.0167, "rho": 0.1077, "theo": 22.9844, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.5, "last_trade_time": "2026-07-29T11:15:12", "percent_change": 0.0, "prev_day_close": 23.5500001907349}, {"option": "DRAM270219P00032000", "bid": 3.1, "bid_size": 7.0, "ask": 4.25, "ask_size": 2112.0, "iv": 0.9185, "open_interest": 0.0, "volume": 0.0, "delta": -0.1439, "gamma": 0.0067, "vega": 0.0859, "theta": -0.019, "rho": -0.0537, "theo": 3.4954, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 3.4650000333786}, {"option": "DRAM270219C00033000", "bid": 21.15, "bid_size": 140.0, "ask": 24.05, "ask_size": 104.0, "iv": 0.925, "open_interest": 0.0, "volume": 0.0, "delta": 0.8399, "gamma": 0.007, "vega": 0.0898, "theta": -0.0176, "rho": 0.1089, "theo": 22.3288, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.9249992370605}, {"option": "DRAM270219P00033000", "bid": 3.2, "bid_size": 645.0, "ask": 4.5, "ask_size": 2047.0, "iv": 0.8983, "open_interest": 150.0, "volume": 0.0, "delta": -0.1544, "gamma": 0.007, "vega": 0.09, "theta": -0.0198, "rho": -0.0576, "theo": 3.8188, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.94, "last_trade_time": "2026-07-29T13:51:26", "percent_change": 0.0, "prev_day_close": 3.79999995231628}, {"option": "DRAM270219C00034000", "bid": 20.55, "bid_size": 119.0, "ask": 23.75, "ask_size": 169.0, "iv": 0.9411, "open_interest": 0.0, "volume": 0.0, "delta": 0.8292, "gamma": 0.0073, "vega": 0.0938, "theta": -0.0185, "rho": 0.11, "theo": 21.6895, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.3000001907349}, {"option": "DRAM270219P00034000", "bid": 3.6, "bid_size": 402.0, "ask": 5.05, "ask_size": 2144.0, "iv": 0.91, "open_interest": 0.0, "volume": 0.0, "delta": -0.1651, "gamma": 0.0074, "vega": 0.094, "theta": -0.0207, "rho": -0.0616, "theo": 4.1584, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 4.10000002384186}, {"option": "DRAM270219C00035000", "bid": 19.9, "bid_size": 137.0, "ask": 22.8, "ask_size": 106.0, "iv": 0.9188, "open_interest": 0.0, "volume": 0.0, "delta": 0.8184, "gamma": 0.0076, "vega": 0.0976, "theta": -0.0194, "rho": 0.1107, "theo": 21.0664, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.5750007629395}, {"option": "DRAM270219P00035000", "bid": 3.75, "bid_size": 727.0, "ask": 5.4, "ask_size": 2108.0, "iv": 0.8961, "open_interest": 9.0, "volume": 0.0, "delta": -0.176, "gamma": 0.0077, "vega": 0.0978, "theta": -0.0214, "rho": -0.066, "theo": 4.514, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.1, "last_trade_time": "2026-07-30T12:43:46", "percent_change": 0.0, "prev_day_close": 4.42499995231628}, {"option": "DRAM270219C00036000", "bid": 19.25, "bid_size": 465.0, "ask": 22.5, "ask_size": 396.0, "iv": 0.9285, "open_interest": 2.0, "volume": 0.0, "delta": 0.8074, "gamma": 0.0079, "vega": 0.1014, "theta": -0.0203, "rho": 0.1112, "theo": 20.4592, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 21.25, "last_trade_time": "2026-07-31T10:03:04", "percent_change": 0.0, "prev_day_close": 21.1000003814697}, {"option": "DRAM270219P00036000", "bid": 4.4, "bid_size": 7.0, "ask": 5.7, "ask_size": 1821.0, "iv": 0.9038, "open_interest": 0.0, "volume": 0.0, "delta": -0.1871, "gamma": 0.008, "vega": 0.1016, "theta": -0.0222, "rho": -0.0703, "theo": 4.8856, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 4.79999995231628}, {"option": "DRAM270219C00037000", "bid": 18.7, "bid_size": 153.0, "ask": 21.6, "ask_size": 99.0, "iv": 0.9123, "open_interest": 0.0, "volume": 0.0, "delta": 0.7962, "gamma": 0.0082, "vega": 0.105, "theta": -0.0211, "rho": 0.1116, "theo": 19.8683, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.4499998092651}, {"option": "DRAM270219P00037000", "bid": 4.85, "bid_size": 5.0, "ask": 6.2, "ask_size": 2106.0, "iv": 0.9093, "open_interest": 0.0, "volume": 0.0, "delta": -0.1984, "gamma": 0.0083, "vega": 0.1054, "theta": -0.023, "rho": -0.0744, "theo": 5.2741, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.35000014305115}, {"option": "DRAM270219C00038000", "bid": 18.15, "bid_size": 179.0, "ask": 21.1, "ask_size": 175.0, "iv": 0.9141, "open_interest": 0.0, "volume": 0.0, "delta": 0.7849, "gamma": 0.0085, "vega": 0.1086, "theta": -0.0219, "rho": 0.112, "theo": 19.2934, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.8249998092651}, {"option": "DRAM270219P00038000", "bid": 4.8, "bid_size": 769.0, "ask": 6.6, "ask_size": 1900.0, "iv": 0.8855, "open_interest": 0.0, "volume": 0.0, "delta": -0.2098, "gamma": 0.0086, "vega": 0.1089, "theta": -0.0237, "rho": -0.0789, "theo": 5.6788, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.70000004768372}, {"option": "DRAM270219C00039000", "bid": 17.6, "bid_size": 180.0, "ask": 20.7, "ask_size": 180.0, "iv": 0.9189, "open_interest": 0.0, "volume": 0.0, "delta": 0.7735, "gamma": 0.0088, "vega": 0.1119, "theta": -0.0226, "rho": 0.1121, "theo": 18.7341, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.2750005722046}, {"option": "DRAM270219P00039000", "bid": 5.2, "bid_size": 802.0, "ask": 6.8, "ask_size": 1934.0, "iv": 0.8729, "open_interest": 2.0, "volume": 0.0, "delta": -0.2214, "gamma": 0.0089, "vega": 0.1122, "theta": -0.0244, "rho": -0.0834, "theo": 6.099, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.57, "last_trade_time": "2026-07-30T10:44:37", "percent_change": 0.0, "prev_day_close": 5.97500014305115}, {"option": "DRAM270219C00040000", "bid": 17.0, "bid_size": 120.0, "ask": 19.65, "ask_size": 117.0, "iv": 0.8918, "open_interest": 1.0, "volume": 0.0, "delta": 0.762, "gamma": 0.0091, "vega": 0.1151, "theta": -0.0234, "rho": 0.112, "theo": 18.1901, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.6, "last_trade_time": "2026-07-28T10:54:13", "percent_change": 0.0, "prev_day_close": 18.875}, {"option": "DRAM270219P00040000", "bid": 5.8, "bid_size": 955.0, "ask": 7.5, "ask_size": 2246.0, "iv": 0.8901, "open_interest": 59.0, "volume": 0.0, "delta": -0.233, "gamma": 0.0092, "vega": 0.1155, "theta": -0.025, "rho": -0.088, "theo": 6.5343, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.66, "last_trade_time": "2026-07-31T15:59:20", "percent_change": 0.0, "prev_day_close": 6.625}, {"option": "DRAM270219C00041000", "bid": 16.45, "bid_size": 118.0, "ask": 19.35, "ask_size": 130.0, "iv": 0.8987, "open_interest": 0.0, "volume": 0.0, "delta": 0.7504, "gamma": 0.0094, "vega": 0.1182, "theta": -0.0241, "rho": 0.1119, "theo": 17.6613, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.1750001907349}, {"option": "DRAM270219P00041000", "bid": 6.3, "bid_size": 318.0, "ask": 8.0, "ask_size": 2045.0, "iv": 0.8924, "open_interest": 37.0, "volume": 0.0, "delta": -0.2448, "gamma": 0.0095, "vega": 0.1187, "theta": -0.0256, "rho": -0.0922, "theo": 6.9854, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.25, "last_trade_time": "2026-07-30T13:08:04", "percent_change": 0.0, "prev_day_close": 6.85000014305115}, {"option": "DRAM270219C00042000", "bid": 16.05, "bid_size": 181.0, "ask": 18.85, "ask_size": 252.0, "iv": 0.902, "open_interest": 0.0, "volume": 0.0, "delta": 0.7388, "gamma": 0.0096, "vega": 0.1212, "theta": -0.0247, "rho": 0.1116, "theo": 17.1478, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 17.625}, {"option": "DRAM270219P00042000", "bid": 6.7, "bid_size": 376.0, "ask": 8.45, "ask_size": 2048.0, "iv": 0.8871, "open_interest": 1965.0, "volume": 0.0, "delta": -0.2566, "gamma": 0.0098, "vega": 0.1217, "theta": -0.0262, "rho": -0.0966, "theo": 7.4525, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.5, "last_trade_time": "2026-07-28T10:44:45", "percent_change": 0.0, "prev_day_close": 7.5}, {"option": "DRAM270219C00043000", "bid": 16.35, "bid_size": 499.0, "ask": 17.55, "ask_size": 444.0, "iv": 0.9, "open_interest": 83.0, "volume": 0.0, "delta": 0.7271, "gamma": 0.0098, "vega": 0.124, "theta": -0.0254, "rho": 0.1112, "theo": 16.6492, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.85, "last_trade_time": "2026-07-31T12:14:19", "percent_change": 0.0, "prev_day_close": 17.1750001907349}, {"option": "DRAM270219P00043000", "bid": 7.45, "bid_size": 10.0, "ask": 9.0, "ask_size": 2184.0, "iv": 0.8991, "open_interest": 0.0, "volume": 0.0, "delta": -0.2685, "gamma": 0.01, "vega": 0.1245, "theta": -0.0268, "rho": -0.1013, "theo": 7.9343, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.97500014305115}, {"option": "DRAM270219C00044000", "bid": 15.9, "bid_size": 264.0, "ask": 17.0, "ask_size": 299.0, "iv": 0.897, "open_interest": 0.0, "volume": 0.0, "delta": 0.7154, "gamma": 0.0101, "vega": 0.1266, "theta": -0.026, "rho": 0.1108, "theo": 16.165, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 16.8000001907349}, {"option": "DRAM270219P00044000", "bid": 7.65, "bid_size": 970.0, "ask": 9.05, "ask_size": 1946.0, "iv": 0.8682, "open_interest": 0.0, "volume": 68.0, "delta": -0.2803, "gamma": 0.0102, "vega": 0.1271, "theta": -0.0273, "rho": -0.1061, "theo": 8.4306, "change": 0.3, "open": 8.65, "high": 8.7, "low": 8.65, "tick": "down", "last_trade_price": 8.65, "last_trade_time": "2026-08-03T10:23:55", "percent_change": 3.59281, "prev_day_close": 8.35000014305115}, {"option": "DRAM270219C00045000", "bid": 14.85, "bid_size": 737.0, "ask": 17.8, "ask_size": 790.0, "iv": 0.9222, "open_interest": 29.0, "volume": 2.0, "delta": 0.7038, "gamma": 0.0103, "vega": 0.1291, "theta": -0.0265, "rho": 0.1103, "theo": 15.6948, "change": -1.15, "open": 14.95, "high": 15.1, "low": 14.95, "tick": "up", "last_trade_price": 15.1, "last_trade_time": "2026-08-03T12:11:12", "percent_change": -7.07692, "prev_day_close": 16.25}, {"option": "DRAM270219P00045000", "bid": 8.25, "bid_size": 863.0, "ask": 9.15, "ask_size": 273.0, "iv": 0.8548, "open_interest": 15.0, "volume": 3.0, "delta": -0.2922, "gamma": 0.0104, "vega": 0.1295, "theta": -0.0278, "rho": -0.1108, "theo": 8.9407, "change": 0.26, "open": 9.67, "high": 9.7, "low": 8.91, "tick": "down", "last_trade_price": 8.91, "last_trade_time": "2026-08-03T10:56:37", "percent_change": 3.00578, "prev_day_close": 8.65000009536743}, {"option": "DRAM270219C00046000", "bid": 14.0, "bid_size": 1079.0, "ask": 17.25, "ask_size": 759.0, "iv": 0.9017, "open_interest": 2.0, "volume": 0.0, "delta": 0.6921, "gamma": 0.0105, "vega": 0.1314, "theta": -0.0271, "rho": 0.1096, "theo": 15.2385, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.4, "last_trade_time": "2026-07-28T14:42:12", "percent_change": 0.0, "prev_day_close": 15.6750001907349}, {"option": "DRAM270219P00046000", "bid": 8.8, "bid_size": 854.0, "ask": 10.45, "ask_size": 2025.0, "iv": 0.8844, "open_interest": 101.0, "volume": 0.0, "delta": -0.3041, "gamma": 0.0107, "vega": 0.1319, "theta": -0.0283, "rho": -0.1149, "theo": 9.4654, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.1, "last_trade_time": "2026-07-31T13:35:42", "percent_change": 0.0, "prev_day_close": 9.34999990463257}, {"option": "DRAM270219C00047000", "bid": 13.5, "bid_size": 1293.0, "ask": 16.8, "ask_size": 873.0, "iv": 0.8978, "open_interest": 63.0, "volume": 0.0, "delta": 0.6804, "gamma": 0.0106, "vega": 0.1336, "theta": -0.0276, "rho": 0.1088, "theo": 14.7961, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.05, "last_trade_time": "2026-07-31T12:01:07", "percent_change": 0.0, "prev_day_close": 15.2999997138977}, {"option": "DRAM270219P00047000", "bid": 9.4, "bid_size": 764.0, "ask": 10.6, "ask_size": 2029.0, "iv": 0.871, "open_interest": 4054.0, "volume": 27.0, "delta": -0.316, "gamma": 0.0109, "vega": 0.1341, "theta": -0.0287, "rho": -0.119, "theo": 10.0048, "change": -0.1, "open": 10.85, "high": 10.86, "low": 10.2, "tick": "down", "last_trade_price": 10.2, "last_trade_time": "2026-08-03T10:38:29", "percent_change": -0.970871, "prev_day_close": 10.2999997138977}, {"option": "DRAM270219C00048000", "bid": 13.6, "bid_size": 705.0, "ask": 15.0, "ask_size": 167.0, "iv": 0.8655, "open_interest": 38.0, "volume": 5.0, "delta": 0.6689, "gamma": 0.0108, "vega": 0.1357, "theta": -0.028, "rho": 0.108, "theo": 14.3671, "change": -0.405, "open": 13.38, "high": 14.37, "low": 12.78, "tick": "up", "last_trade_price": 14.37, "last_trade_time": "2026-08-03T15:34:39", "percent_change": -2.74112, "prev_day_close": 14.7750000953674}, {"option": "DRAM270219P00048000", "bid": 10.0, "bid_size": 317.0, "ask": 11.2, "ask_size": 1819.0, "iv": 0.8736, "open_interest": 3.0, "volume": 26.0, "delta": -0.3278, "gamma": 0.0111, "vega": 0.1361, "theta": -0.0291, "rho": -0.124, "theo": 10.5576, "change": 0.825, "open": 11.38, "high": 11.46, "low": 11.38, "tick": "no_change", "last_trade_price": 11.45, "last_trade_time": "2026-08-03T09:59:30", "percent_change": 7.76471, "prev_day_close": 10.625}, {"option": "DRAM270219C00049000", "bid": 13.7, "bid_size": 152.0, "ask": 15.95, "ask_size": 740.0, "iv": 0.9334, "open_interest": 3.0, "volume": 0.0, "delta": 0.6573, "gamma": 0.011, "vega": 0.1375, "theta": -0.0285, "rho": 0.1072, "theo": 13.951, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.5, "last_trade_time": "2026-07-31T13:24:30", "percent_change": 0.0, "prev_day_close": 14.4500002861023}, {"option": "DRAM270219P00049000", "bid": 10.35, "bid_size": 737.0, "ask": 11.65, "ask_size": 1377.0, "iv": 0.8607, "open_interest": 11.0, "volume": 2.0, "delta": -0.3396, "gamma": 0.0112, "vega": 0.138, "theta": -0.0294, "rho": -0.1286, "theo": 11.1235, "change": 0.715, "open": 12.05, "high": 12.05, "low": 11.99, "tick": "down", "last_trade_price": 11.99, "last_trade_time": "2026-08-03T09:58:59", "percent_change": 6.34146, "prev_day_close": 11.2750000953674}, {"option": "DRAM270219C00050000", "bid": 13.05, "bid_size": 852.0, "ask": 14.8, "ask_size": 908.0, "iv": 0.896, "open_interest": 96.0, "volume": 42.0, "delta": 0.6458, "gamma": 0.0111, "vega": 0.1393, "theta": -0.0288, "rho": 0.1063, "theo": 13.5475, "change": -0.425, "open": 12.2, "high": 13.4, "low": 12.2, "tick": "no_change", "last_trade_price": 13.4, "last_trade_time": "2026-08-03T15:14:32", "percent_change": -3.07414, "prev_day_close": 13.8249998092651}, {"option": "DRAM270219P00050000", "bid": 10.9, "bid_size": 796.0, "ask": 11.85, "ask_size": 336.0, "iv": 0.8456, "open_interest": 54.0, "volume": 23.0, "delta": -0.3513, "gamma": 0.0114, "vega": 0.1397, "theta": -0.0298, "rho": -0.1333, "theo": 11.7016, "change": -0.07, "open": 12.58, "high": 12.66, "low": 11.43, "tick": "no_change", "last_trade_price": 11.43, "last_trade_time": "2026-08-03T13:40:03", "percent_change": -0.608696, "prev_day_close": 11.5}, {"option": "DRAM270219C00051000", "bid": 11.85, "bid_size": 1108.0, "ask": 13.8, "ask_size": 303.0, "iv": 0.8448, "open_interest": 6.0, "volume": 6.0, "delta": 0.6344, "gamma": 0.0113, "vega": 0.1408, "theta": -0.0292, "rho": 0.1053, "theo": 13.1563, "change": -0.43, "open": 11.96, "high": 13.22, "low": 11.96, "tick": "no_change", "last_trade_price": 13.22, "last_trade_time": "2026-08-03T13:46:33", "percent_change": -3.15018, "prev_day_close": 13.6500000953674}, {"option": "DRAM270219P00051000", "bid": 11.55, "bid_size": 816.0, "ask": 13.25, "ask_size": 1733.0, "iv": 0.8758, "open_interest": 5.0, "volume": 0.0, "delta": -0.363, "gamma": 0.0115, "vega": 0.1412, "theta": -0.03, "rho": -0.1374, "theo": 12.2923, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.65, "last_trade_time": "2026-07-30T14:45:21", "percent_change": 0.0, "prev_day_close": 12.2750000953674}, {"option": "DRAM270219C00052000", "bid": 11.45, "bid_size": 1139.0, "ask": 14.7, "ask_size": 787.0, "iv": 0.8886, "open_interest": 16.0, "volume": 20.0, "delta": 0.6232, "gamma": 0.0114, "vega": 0.1423, "theta": -0.0296, "rho": 0.1042, "theo": 12.7773, "change": -1.525, "open": 12.1, "high": 12.1, "low": 11.5, "tick": "down", "last_trade_price": 11.5, "last_trade_time": "2026-08-03T09:30:40", "percent_change": -11.7083, "prev_day_close": 13.0250000953674}, {"option": "DRAM270219P00052000", "bid": 12.1, "bid_size": 618.0, "ask": 13.85, "ask_size": 1593.0, "iv": 0.8732, "open_interest": 1.0, "volume": 38.0, "delta": -0.3746, "gamma": 0.0117, "vega": 0.1426, "theta": -0.0303, "rho": -0.1414, "theo": 12.8962, "change": 0.6, "open": 13.45, "high": 13.45, "low": 13.4, "tick": "no_change", "last_trade_price": 13.4, "last_trade_time": "2026-08-03T10:21:00", "percent_change": 4.6875, "prev_day_close": 12.7999997138977}, {"option": "DRAM270219C00053000", "bid": 11.3, "bid_size": 1027.0, "ask": 14.2, "ask_size": 790.0, "iv": 0.8908, "open_interest": 12.0, "volume": 1.0, "delta": 0.612, "gamma": 0.0115, "vega": 0.1436, "theta": -0.0299, "rho": 0.1031, "theo": 12.4101, "change": -1.77, "open": 11.18, "high": 11.18, "low": 11.18, "tick": "down", "last_trade_price": 11.18, "last_trade_time": "2026-08-03T10:20:32", "percent_change": -13.668, "prev_day_close": 12.9500002861023}, {"option": "DRAM270219P00053000", "bid": 12.95, "bid_size": 164.0, "ask": 14.45, "ask_size": 1545.0, "iv": 0.8801, "open_interest": 1.0, "volume": 0.0, "delta": -0.3861, "gamma": 0.0118, "vega": 0.1439, "theta": -0.0305, "rho": -0.1455, "theo": 13.5125, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.96, "last_trade_time": "2026-07-24T11:25:33", "percent_change": 0.0, "prev_day_close": 13.6749997138977}, {"option": "DRAM270219C00054000", "bid": 11.6, "bid_size": 342.0, "ask": 12.65, "ask_size": 404.0, "iv": 0.8714, "open_interest": 2.0, "volume": 0.0, "delta": 0.6009, "gamma": 0.0116, "vega": 0.1448, "theta": -0.0301, "rho": 0.102, "theo": 12.0544, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.21, "last_trade_time": "2026-07-30T15:11:22", "percent_change": 0.0, "prev_day_close": 12.5500001907349}, {"option": "DRAM270219P00054000", "bid": 13.55, "bid_size": 182.0, "ask": 15.05, "ask_size": 1469.0, "iv": 0.8776, "open_interest": 0.0, "volume": 0.0, "delta": -0.3975, "gamma": 0.0119, "vega": 0.1451, "theta": -0.0307, "rho": -0.1503, "theo": 14.1402, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.1999998092651}, {"option": "DRAM270219C00055000", "bid": 11.4, "bid_size": 152.0, "ask": 12.3, "ask_size": 418.0, "iv": 0.8758, "open_interest": 37.0, "volume": 0.0, "delta": 0.5899, "gamma": 0.0117, "vega": 0.1458, "theta": -0.0304, "rho": 0.1009, "theo": 11.7098, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.7, "last_trade_time": "2026-07-31T11:35:24", "percent_change": 0.0, "prev_day_close": 12.375}, {"option": "DRAM270219P00055000", "bid": 13.95, "bid_size": 785.0, "ask": 15.15, "ask_size": 983.0, "iv": 0.8505, "open_interest": 147.0, "volume": 110.0, "delta": -0.4087, "gamma": 0.012, "vega": 0.1461, "theta": -0.0309, "rho": -0.1547, "theo": 14.7792, "change": 1.15, "open": 15.9, "high": 15.9, "low": 15.9, "tick": "up", "last_trade_price": 15.9, "last_trade_time": "2026-08-03T09:35:49", "percent_change": 7.79661, "prev_day_close": 14.75}, {"option": "DRAM270219C00056000", "bid": 10.5, "bid_size": 1108.0, "ask": 12.05, "ask_size": 615.0, "iv": 0.8589, "open_interest": 0.0, "volume": 0.0, "delta": 0.579, "gamma": 0.0118, "vega": 0.1467, "theta": -0.0306, "rho": 0.0997, "theo": 11.3759, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 12.0499997138977}, {"option": "DRAM270219P00056000", "bid": 14.65, "bid_size": 640.0, "ask": 16.4, "ask_size": 1429.0, "iv": 0.8723, "open_interest": 11.0, "volume": 0.0, "delta": -0.4199, "gamma": 0.0121, "vega": 0.147, "theta": -0.0311, "rho": -0.159, "theo": 15.4286, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 18.07, "last_trade_time": "2026-07-29T11:38:55", "percent_change": 0.0, "prev_day_close": 15.4999995231628}, {"option": "DRAM270219C00057000", "bid": 9.8, "bid_size": 831.0, "ask": 11.65, "ask_size": 267.0, "iv": 0.8432, "open_interest": 0.0, "volume": 0.0, "delta": 0.5683, "gamma": 0.0118, "vega": 0.1475, "theta": -0.0308, "rho": 0.0985, "theo": 11.0523, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 11.625}, {"option": "DRAM270219P00057000", "bid": 15.3, "bid_size": 149.0, "ask": 17.05, "ask_size": 355.0, "iv": 0.8713, "open_interest": 26.0, "volume": 0.0, "delta": -0.431, "gamma": 0.0122, "vega": 0.1477, "theta": -0.0312, "rho": -0.1628, "theo": 16.0885, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 16.55, "last_trade_time": "2026-07-27T13:49:52", "percent_change": 0.0, "prev_day_close": 16.0749998092651}, {"option": "DRAM270219C00058000", "bid": 9.5, "bid_size": 1255.0, "ask": 11.45, "ask_size": 827.0, "iv": 0.8473, "open_interest": 15.0, "volume": 0.0, "delta": 0.5577, "gamma": 0.0119, "vega": 0.1481, "theta": -0.031, "rho": 0.0973, "theo": 10.739, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 8.3, "last_trade_time": "2026-07-29T12:35:12", "percent_change": 0.0, "prev_day_close": 11.375}, {"option": "DRAM270219P00058000", "bid": 15.95, "bid_size": 374.0, "ask": 17.7, "ask_size": 771.0, "iv": 0.8695, "open_interest": 28.0, "volume": 0.0, "delta": -0.4419, "gamma": 0.0123, "vega": 0.1482, "theta": -0.0313, "rho": -0.1661, "theo": 16.7596, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.21, "last_trade_time": "2026-07-29T12:19:03", "percent_change": 0.0, "prev_day_close": 16.8250002861023}, {"option": "DRAM270219C00059000", "bid": 10.0, "bid_size": 644.0, "ask": 10.95, "ask_size": 386.0, "iv": 0.8675, "open_interest": 10.0, "volume": 1.0, "delta": 0.5472, "gamma": 0.0119, "vega": 0.1487, "theta": -0.0311, "rho": 0.096, "theo": 10.4357, "change": -0.725, "open": 10.3, "high": 10.3, "low": 10.3, "tick": "down", "last_trade_price": 10.3, "last_trade_time": "2026-08-03T15:13:46", "percent_change": -6.57596, "prev_day_close": 11.0250000953674}, {"option": "DRAM270219P00059000", "bid": 16.85, "bid_size": 19.0, "ask": 18.4, "ask_size": 968.0, "iv": 0.8772, "open_interest": 138.0, "volume": 0.0, "delta": -0.4527, "gamma": 0.0123, "vega": 0.1486, "theta": -0.0314, "rho": -0.1694, "theo": 17.4416, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 17.05, "last_trade_time": "2026-07-31T13:24:49", "percent_change": 0.0, "prev_day_close": 17.5}, {"option": "DRAM270219C00060000", "bid": 9.8, "bid_size": 306.0, "ask": 10.75, "ask_size": 640.0, "iv": 0.8736, "open_interest": 154.0, "volume": 5.0, "delta": 0.5369, "gamma": 0.012, "vega": 0.1491, "theta": -0.0312, "rho": 0.0947, "theo": 10.142, "change": -1.045, "open": 9.7, "high": 9.7, "low": 9.43, "tick": "down", "last_trade_price": 9.43, "last_trade_time": "2026-08-03T11:24:09", "percent_change": -9.97613, "prev_day_close": 10.4749999046326}, {"option": "DRAM270219P00060000", "bid": 17.15, "bid_size": 227.0, "ask": 18.95, "ask_size": 588.0, "iv": 0.859, "open_interest": 0.0, "volume": 0.0, "delta": -0.4633, "gamma": 0.0124, "vega": 0.149, "theta": -0.0314, "rho": -0.174, "theo": 18.1334, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.2249994277954}, {"option": "DRAM270219C00061000", "bid": 9.55, "bid_size": 257.0, "ask": 10.45, "ask_size": 614.0, "iv": 0.874, "open_interest": 0.0, "volume": 0.0, "delta": 0.5268, "gamma": 0.012, "vega": 0.1494, "theta": -0.0313, "rho": 0.0934, "theo": 9.8577, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.75, "last_trade_time": "2026-07-31T10:57:53", "percent_change": 0.0, "prev_day_close": 10.5}, {"option": "DRAM270219P00061000", "bid": 17.95, "bid_size": 269.0, "ask": 19.8, "ask_size": 619.0, "iv": 0.8672, "open_interest": 0.0, "volume": 0.0, "delta": -0.4738, "gamma": 0.0124, "vega": 0.1493, "theta": -0.0314, "rho": -0.178, "theo": 18.8344, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.8249998092651}, {"option": "DRAM270219C00062000", "bid": 8.3, "bid_size": 730.0, "ask": 10.2, "ask_size": 335.0, "iv": 0.8422, "open_interest": 23.0, "volume": 0.0, "delta": 0.5168, "gamma": 0.012, "vega": 0.1497, "theta": -0.0314, "rho": 0.0922, "theo": 9.5823, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 10.6, "last_trade_time": "2026-07-30T14:14:47", "percent_change": 0.0, "prev_day_close": 10.2750000953674}, {"option": "DRAM270219P00062000", "bid": 18.65, "bid_size": 120.0, "ask": 20.5, "ask_size": 335.0, "iv": 0.8664, "open_interest": 0.0, "volume": 0.0, "delta": -0.4842, "gamma": 0.0125, "vega": 0.1495, "theta": -0.0314, "rho": -0.182, "theo": 19.5444, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.6499996185303}, {"option": "DRAM270219C00063000", "bid": 8.1, "bid_size": 743.0, "ask": 9.85, "ask_size": 200.0, "iv": 0.8415, "open_interest": 0.0, "volume": 0.0, "delta": 0.5069, "gamma": 0.012, "vega": 0.1498, "theta": -0.0314, "rho": 0.0909, "theo": 9.3155, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.9249997138977}, {"option": "DRAM270219P00063000", "bid": 19.45, "bid_size": 96.0, "ask": 21.25, "ask_size": 321.0, "iv": 0.87, "open_interest": 0.0, "volume": 0.0, "delta": -0.4944, "gamma": 0.0125, "vega": 0.1496, "theta": -0.0314, "rho": -0.1861, "theo": 20.2629, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.3500003814697}, {"option": "DRAM270219C00064000", "bid": 7.75, "bid_size": 623.0, "ask": 9.8, "ask_size": 777.0, "iv": 0.8453, "open_interest": 0.0, "volume": 0.0, "delta": 0.4972, "gamma": 0.012, "vega": 0.1499, "theta": -0.0315, "rho": 0.0896, "theo": 9.057, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.72499990463257}, {"option": "DRAM270219P00064000", "bid": 20.15, "bid_size": 109.0, "ask": 22.0, "ask_size": 313.0, "iv": 0.8698, "open_interest": 32.0, "volume": 0.0, "delta": -0.5045, "gamma": 0.0125, "vega": 0.1495, "theta": -0.0314, "rho": -0.1888, "theo": 20.99, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.3, "last_trade_time": "2026-07-30T14:38:06", "percent_change": 0.0, "prev_day_close": 21.1000003814697}, {"option": "DRAM270219C00065000", "bid": 7.8, "bid_size": 1372.0, "ask": 9.4, "ask_size": 660.0, "iv": 0.8503, "open_interest": 15.0, "volume": 0.0, "delta": 0.4876, "gamma": 0.012, "vega": 0.1498, "theta": -0.0315, "rho": 0.0883, "theo": 8.8068, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.8, "last_trade_time": "2026-07-31T09:49:37", "percent_change": 0.0, "prev_day_close": 9.47499990463257}, {"option": "DRAM270219P00065000", "bid": 20.9, "bid_size": 41.0, "ask": 22.65, "ask_size": 301.0, "iv": 0.8674, "open_interest": 29.0, "volume": 0.0, "delta": -0.5145, "gamma": 0.0125, "vega": 0.1492, "theta": -0.0313, "rho": -0.1913, "theo": 21.7264, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.48, "last_trade_time": "2026-07-30T09:43:43", "percent_change": 0.0, "prev_day_close": 21.9250001907349}, {"option": "DRAM270219C00066000", "bid": 7.95, "bid_size": 319.0, "ask": 9.25, "ask_size": 510.0, "iv": 0.8665, "open_interest": 0.0, "volume": 0.0, "delta": 0.4783, "gamma": 0.012, "vega": 0.1497, "theta": -0.0315, "rho": 0.087, "theo": 8.5646, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.27499961853027}, {"option": "DRAM270219P00066000", "bid": 21.6, "bid_size": 146.0, "ask": 23.5, "ask_size": 283.0, "iv": 0.8694, "open_interest": 0.0, "volume": 0.0, "delta": -0.5243, "gamma": 0.0125, "vega": 0.1489, "theta": -0.0313, "rho": -0.1941, "theo": 22.4717, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.5999994277954}, {"option": "DRAM270219C00067000", "bid": 8.0, "bid_size": 88.0, "ask": 9.05, "ask_size": 805.0, "iv": 0.8772, "open_interest": 0.0, "volume": 0.0, "delta": 0.469, "gamma": 0.012, "vega": 0.1494, "theta": -0.0314, "rho": 0.0856, "theo": 8.3301, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.97499990463257}, {"option": "DRAM270219P00067000", "bid": 22.25, "bid_size": 98.0, "ask": 24.25, "ask_size": 291.0, "iv": 0.8658, "open_interest": 0.0, "volume": 0.0, "delta": -0.5339, "gamma": 0.0125, "vega": 0.1486, "theta": -0.0312, "rho": -0.1982, "theo": 23.225, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 23.2750005722046}, {"option": "DRAM270219C00068000", "bid": 6.8, "bid_size": 1425.0, "ask": 8.65, "ask_size": 651.0, "iv": 0.8388, "open_interest": 0.0, "volume": 0.0, "delta": 0.46, "gamma": 0.012, "vega": 0.1492, "theta": -0.0314, "rho": 0.0844, "theo": 8.1031, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.82500004768372}, {"option": "DRAM270219P00068000", "bid": 23.1, "bid_size": 336.0, "ask": 25.0, "ask_size": 567.0, "iv": 0.8685, "open_interest": 11.0, "volume": 0.0, "delta": -0.5434, "gamma": 0.0125, "vega": 0.1483, "theta": -0.0311, "rho": -0.2019, "theo": 23.9855, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.85, "last_trade_time": "2026-07-29T14:00:06", "percent_change": 0.0, "prev_day_close": 24.1000003814697}, {"option": "DRAM270219C00069000", "bid": 6.6, "bid_size": 1445.0, "ask": 8.3, "ask_size": 450.0, "iv": 0.8351, "open_interest": 1.0, "volume": 1.0, "delta": 0.4511, "gamma": 0.012, "vega": 0.1488, "theta": -0.0313, "rho": 0.0831, "theo": 7.8832, "change": -1.6, "open": 6.85, "high": 6.85, "low": 6.85, "tick": "down", "last_trade_price": 6.85, "last_trade_time": "2026-08-03T09:31:21", "percent_change": -18.9349, "prev_day_close": 8.45000004768372}, {"option": "DRAM270219P00069000", "bid": 23.8, "bid_size": 333.0, "ask": 25.75, "ask_size": 536.0, "iv": 0.8657, "open_interest": 0.0, "volume": 0.0, "delta": -0.5527, "gamma": 0.0125, "vega": 0.1479, "theta": -0.031, "rho": -0.2054, "theo": 24.7533, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 24.8000001907349}, {"option": "DRAM270219C00070000", "bid": 6.4, "bid_size": 1473.0, "ask": 8.15, "ask_size": 488.0, "iv": 0.8376, "open_interest": 66.0, "volume": 3.0, "delta": 0.4423, "gamma": 0.0119, "vega": 0.1484, "theta": -0.0313, "rho": 0.0818, "theo": 7.6702, "change": -1.4, "open": 7.0, "high": 7.0, "low": 7.0, "tick": "down", "last_trade_price": 7.0, "last_trade_time": "2026-08-03T09:37:04", "percent_change": -16.6667, "prev_day_close": 8.40000009536743}, {"option": "DRAM270219P00070000", "bid": 24.7, "bid_size": 373.0, "ask": 26.45, "ask_size": 678.0, "iv": 0.8675, "open_interest": 0.0, "volume": 54.0, "delta": -0.5618, "gamma": 0.0125, "vega": 0.1474, "theta": -0.0308, "rho": -0.2088, "theo": 25.5279, "change": 0.25, "open": 25.9, "high": 26.1, "low": 25.85, "tick": "down", "last_trade_price": 25.85, "last_trade_time": "2026-08-03T11:36:15", "percent_change": 0.976565, "prev_day_close": 25.5999994277954}, {"option": "DRAM270219C00071000", "bid": 6.15, "bid_size": 1440.0, "ask": 7.9, "ask_size": 492.0, "iv": 0.8347, "open_interest": 0.0, "volume": 0.0, "delta": 0.4337, "gamma": 0.0119, "vega": 0.1479, "theta": -0.0312, "rho": 0.0806, "theo": 7.4638, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.97500014305115}, {"option": "DRAM270219P00071000", "bid": 25.65, "bid_size": 173.0, "ask": 27.25, "ask_size": 546.0, "iv": 0.874, "open_interest": 0.0, "volume": 0.0, "delta": -0.5708, "gamma": 0.0125, "vega": 0.1469, "theta": -0.0307, "rho": -0.2114, "theo": 26.3091, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 26.375}, {"option": "DRAM270219C00072000", "bid": 6.15, "bid_size": 850.0, "ask": 7.65, "ask_size": 106.0, "iv": 0.8398, "open_interest": 0.0, "volume": 0.0, "delta": 0.4253, "gamma": 0.0118, "vega": 0.1474, "theta": -0.0311, "rho": 0.0793, "theo": 7.2638, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.0}, {"option": "DRAM270219P00072000", "bid": 26.25, "bid_size": 86.0, "ask": 28.05, "ask_size": 257.0, "iv": 0.8682, "open_interest": 1.0, "volume": 0.0, "delta": -0.5797, "gamma": 0.0124, "vega": 0.146, "theta": -0.0305, "rho": -0.2132, "theo": 27.0973, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.78, "last_trade_time": "2026-07-27T14:35:50", "percent_change": 0.0, "prev_day_close": 27.3999996185303}, {"option": "DRAM270219C00073000", "bid": 6.4, "bid_size": 439.0, "ask": 7.5, "ask_size": 124.0, "iv": 0.8565, "open_interest": 0.0, "volume": 0.0, "delta": 0.417, "gamma": 0.0118, "vega": 0.1468, "theta": -0.031, "rho": 0.078, "theo": 7.0702, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.16, "last_trade_time": "2026-07-30T10:51:58", "percent_change": 0.0, "prev_day_close": 7.875}, {"option": "DRAM270219P00073000", "bid": 27.0, "bid_size": 101.0, "ask": 28.85, "ask_size": 252.0, "iv": 0.867, "open_interest": 0.0, "volume": 0.0, "delta": -0.5884, "gamma": 0.0124, "vega": 0.1449, "theta": -0.0304, "rho": -0.2144, "theo": 27.8929, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 28.125}, {"option": "DRAM270219C00074000", "bid": 6.55, "bid_size": 627.0, "ask": 7.4, "ask_size": 667.0, "iv": 0.8712, "open_interest": 0.0, "volume": 0.0, "delta": 0.4089, "gamma": 0.0117, "vega": 0.1461, "theta": -0.0309, "rho": 0.0767, "theo": 6.8827, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.62500023841858}, {"option": "DRAM270219P00074000", "bid": 27.85, "bid_size": 209.0, "ask": 29.65, "ask_size": 552.0, "iv": 0.8687, "open_interest": 0.0, "volume": 0.0, "delta": -0.597, "gamma": 0.0124, "vega": 0.1441, "theta": -0.0302, "rho": -0.2163, "theo": 28.6953, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 28.75}, {"option": "DRAM270219C00075000", "bid": 6.45, "bid_size": 118.0, "ask": 7.05, "ask_size": 491.0, "iv": 0.8685, "open_interest": 6.0, "volume": 5.0, "delta": 0.401, "gamma": 0.0117, "vega": 0.1453, "theta": -0.0307, "rho": 0.0755, "theo": 6.7011, "change": -0.47, "open": 6.73, "high": 6.73, "low": 6.73, "tick": "down", "last_trade_price": 6.73, "last_trade_time": "2026-08-03T15:52:15", "percent_change": -6.52778, "prev_day_close": 7.20000004768372}, {"option": "DRAM270219P00075000", "bid": 28.55, "bid_size": 461.0, "ask": 30.45, "ask_size": 539.0, "iv": 0.8648, "open_interest": 0.0, "volume": 0.0, "delta": -0.6054, "gamma": 0.0123, "vega": 0.1432, "theta": -0.03, "rho": -0.2198, "theo": 29.5041, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 29.5749998092651}, {"option": "DRAM270219C00076000", "bid": 5.3, "bid_size": 1460.0, "ask": 7.45, "ask_size": 1126.0, "iv": 0.8549, "open_interest": 0.0, "volume": 0.0, "delta": 0.3932, "gamma": 0.0116, "vega": 0.1446, "theta": -0.0306, "rho": 0.0742, "theo": 6.5252, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.25}, {"option": "DRAM270219P00076000", "bid": 29.45, "bid_size": 366.0, "ask": 31.25, "ask_size": 466.0, "iv": 0.8676, "open_interest": 0.0, "volume": 0.0, "delta": -0.6136, "gamma": 0.0123, "vega": 0.1424, "theta": -0.0298, "rho": -0.2226, "theo": 30.3182, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 30.375}, {"option": "DRAM270219C00077000", "bid": 6.05, "bid_size": 489.0, "ask": 6.7, "ask_size": 463.0, "iv": 0.867, "open_interest": 0.0, "volume": 3.0, "delta": 0.3855, "gamma": 0.0115, "vega": 0.1438, "theta": -0.0304, "rho": 0.073, "theo": 6.3548, "change": -1.09, "open": 6.01, "high": 6.01, "low": 6.01, "tick": "down", "last_trade_price": 6.01, "last_trade_time": "2026-08-03T13:13:25", "percent_change": -15.3521, "prev_day_close": 7.09999990463257}, {"option": "DRAM270219P00077000", "bid": 29.35, "bid_size": 578.0, "ask": 31.3, "ask_size": 127.0, "iv": 0.8074, "open_interest": 0.0, "volume": 0.0, "delta": -0.6217, "gamma": 0.0122, "vega": 0.1415, "theta": -0.0296, "rho": -0.2259, "theo": 31.1379, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 31.1500005722046}, {"option": "DRAM270219C00078000", "bid": 5.0, "bid_size": 1466.0, "ask": 6.55, "ask_size": 481.0, "iv": 0.8366, "open_interest": 0.0, "volume": 0.0, "delta": 0.378, "gamma": 0.0115, "vega": 0.143, "theta": -0.0303, "rho": 0.0719, "theo": 6.1896, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 6.70000004768372}, {"option": "DRAM270219P00078000", "bid": 31.1, "bid_size": 287.0, "ask": 32.9, "ask_size": 453.0, "iv": 0.8685, "open_interest": 0.0, "volume": 0.0, "delta": -0.6297, "gamma": 0.0122, "vega": 0.1407, "theta": -0.0293, "rho": -0.2273, "theo": 31.9628, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 31.9000005722046}, {"option": "DRAM270219C00079000", "bid": 4.85, "bid_size": 1480.0, "ask": 6.4, "ask_size": 499.0, "iv": 0.8374, "open_interest": 0.0, "volume": 0.0, "delta": 0.3707, "gamma": 0.0114, "vega": 0.1421, "theta": -0.0301, "rho": 0.0707, "theo": 6.0294, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 6.72500014305115}, {"option": "DRAM270219P00079000", "bid": 31.05, "bid_size": 493.0, "ask": 33.7, "ask_size": 415.0, "iv": 0.8359, "open_interest": 0.0, "volume": 0.0, "delta": -0.6375, "gamma": 0.0121, "vega": 0.1397, "theta": -0.0291, "rho": -0.2304, "theo": 32.7928, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 32.7250003814697}, {"option": "DRAM270219C00080000", "bid": 5.55, "bid_size": 525.0, "ask": 6.2, "ask_size": 442.0, "iv": 0.8664, "open_interest": 2.0, "volume": 5.0, "delta": 0.3635, "gamma": 0.0113, "vega": 0.1412, "theta": -0.0299, "rho": 0.0695, "theo": 5.8741, "change": -0.605, "open": 5.45, "high": 5.77, "low": 5.45, "tick": "up", "last_trade_price": 5.77, "last_trade_time": "2026-08-03T13:29:34", "percent_change": -9.4902, "prev_day_close": 6.375}, {"option": "DRAM270219P00080000", "bid": 32.85, "bid_size": 226.0, "ask": 34.45, "ask_size": 410.0, "iv": 0.8679, "open_interest": 1.0, "volume": 0.0, "delta": -0.6452, "gamma": 0.0121, "vega": 0.1386, "theta": -0.0289, "rho": -0.2315, "theo": 33.6278, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.1, "last_trade_time": "2026-07-24T10:07:27", "percent_change": 0.0, "prev_day_close": 33.6499996185303}, {"option": "DRAM270219C00081000", "bid": 4.95, "bid_size": 935.0, "ask": 6.7, "ask_size": 1148.0, "iv": 0.8739, "open_interest": 0.0, "volume": 0.0, "delta": 0.3565, "gamma": 0.0112, "vega": 0.1403, "theta": -0.0297, "rho": 0.0684, "theo": 5.7236, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 6.45000004768372}, {"option": "DRAM270219P00081000", "bid": 33.6, "bid_size": 297.0, "ask": 35.4, "ask_size": 508.0, "iv": 0.8689, "open_interest": 0.0, "volume": 0.0, "delta": -0.6527, "gamma": 0.012, "vega": 0.1371, "theta": -0.0286, "rho": -0.2323, "theo": 34.4684, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 34.75}, {"option": "DRAM270219C00082000", "bid": 5.05, "bid_size": 1006.0, "ask": 5.9, "ask_size": 484.0, "iv": 0.8595, "open_interest": 152.0, "volume": 1.0, "delta": 0.3496, "gamma": 0.0112, "vega": 0.1393, "theta": -0.0296, "rho": 0.0672, "theo": 5.5777, "change": -0.425, "open": 5.5, "high": 5.5, "low": 5.5, "tick": "down", "last_trade_price": 5.5, "last_trade_time": "2026-08-03T12:31:04", "percent_change": -7.173, "prev_day_close": 5.92499995231628}, {"option": "DRAM270219P00082000", "bid": 34.3, "bid_size": 363.0, "ask": 36.25, "ask_size": 508.0, "iv": 0.864, "open_interest": 0.0, "volume": 0.0, "delta": -0.6601, "gamma": 0.012, "vega": 0.1356, "theta": -0.0284, "rho": -0.2324, "theo": 35.3146, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 35.4249992370606}, {"option": "DRAM270219C00083000", "bid": 5.1, "bid_size": 708.0, "ask": 5.9, "ask_size": 645.0, "iv": 0.8718, "open_interest": 2.0, "volume": 0.0, "delta": 0.3428, "gamma": 0.0111, "vega": 0.1383, "theta": -0.0294, "rho": 0.0661, "theo": 5.4363, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.32, "last_trade_time": "2026-07-30T10:19:42", "percent_change": 0.0, "prev_day_close": 6.25}, {"option": "DRAM270219P00083000", "bid": 35.25, "bid_size": 281.0, "ask": 37.1, "ask_size": 413.0, "iv": 0.8679, "open_interest": 0.0, "volume": 0.0, "delta": -0.6674, "gamma": 0.0119, "vega": 0.1344, "theta": -0.0281, "rho": -0.2333, "theo": 36.1658, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.0499992370606}, {"option": "DRAM270219C00084000", "bid": 5.0, "bid_size": 407.0, "ask": 5.75, "ask_size": 646.0, "iv": 0.8731, "open_interest": 0.0, "volume": 0.0, "delta": 0.3362, "gamma": 0.011, "vega": 0.1372, "theta": -0.0292, "rho": 0.0649, "theo": 5.2993, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 6.04999995231628}, {"option": "DRAM270219P00084000", "bid": 36.1, "bid_size": 261.0, "ask": 37.95, "ask_size": 368.0, "iv": 0.8678, "open_interest": 0.0, "volume": 0.0, "delta": -0.6745, "gamma": 0.0118, "vega": 0.133, "theta": -0.0279, "rho": -0.2357, "theo": 37.0219, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.9250011444092}, {"option": "DRAM270219C00085000", "bid": 4.3, "bid_size": 1333.0, "ask": 5.65, "ask_size": 658.0, "iv": 0.8537, "open_interest": 0.0, "volume": 8.0, "delta": 0.3297, "gamma": 0.0109, "vega": 0.1361, "theta": -0.0289, "rho": 0.0638, "theo": 5.1665, "change": -1.03, "open": 4.86, "high": 4.87, "low": 4.81, "tick": "up", "last_trade_price": 4.87, "last_trade_time": "2026-08-03T13:00:16", "percent_change": -17.4576, "prev_day_close": 5.89999985694885}, {"option": "DRAM270219P00085000", "bid": 36.95, "bid_size": 344.0, "ask": 38.8, "ask_size": 484.0, "iv": 0.8674, "open_interest": 0.0, "volume": 0.0, "delta": -0.6815, "gamma": 0.0118, "vega": 0.132, "theta": -0.0276, "rho": -0.2376, "theo": 37.8818, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 37.7749996185303}, {"option": "DRAM270219C00086000", "bid": 4.75, "bid_size": 316.0, "ask": 6.05, "ask_size": 1246.0, "iv": 0.8949, "open_interest": 0.0, "volume": 0.0, "delta": 0.3234, "gamma": 0.0108, "vega": 0.1351, "theta": -0.0287, "rho": 0.0628, "theo": 5.0376, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.72500014305115}, {"option": "DRAM270219P00086000", "bid": 37.75, "bid_size": 293.0, "ask": 39.65, "ask_size": 470.0, "iv": 0.8647, "open_interest": 0.0, "volume": 0.0, "delta": -0.6883, "gamma": 0.0117, "vega": 0.1308, "theta": -0.0273, "rho": -0.2402, "theo": 38.7459, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.625}, {"option": "DRAM270219C00087000", "bid": 4.35, "bid_size": 253.0, "ask": 5.4, "ask_size": 372.0, "iv": 0.8658, "open_interest": 0.0, "volume": 0.0, "delta": 0.3172, "gamma": 0.0107, "vega": 0.134, "theta": -0.0285, "rho": 0.0617, "theo": 4.9127, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 5.59999990463257}, {"option": "DRAM270219P00087000", "bid": 38.6, "bid_size": 121.0, "ask": 40.5, "ask_size": 169.0, "iv": 0.8636, "open_interest": 0.0, "volume": 0.0, "delta": -0.695, "gamma": 0.0116, "vega": 0.1297, "theta": -0.027, "rho": -0.2426, "theo": 39.6138, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 39.5249996185303}, {"option": "DRAM270219C00088000", "bid": 4.25, "bid_size": 238.0, "ask": 5.1, "ask_size": 81.0, "iv": 0.8601, "open_interest": 1.0, "volume": 0.0, "delta": 0.3111, "gamma": 0.0106, "vega": 0.1329, "theta": -0.0283, "rho": 0.0607, "theo": 4.7914, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.26, "last_trade_time": "2026-07-30T11:10:54", "percent_change": 0.0, "prev_day_close": 5.57500004768372}, {"option": "DRAM270219P00088000", "bid": 39.55, "bid_size": 9.0, "ask": 41.3, "ask_size": 89.0, "iv": 0.872, "open_interest": 0.0, "volume": 0.0, "delta": -0.7016, "gamma": 0.0115, "vega": 0.1284, "theta": -0.0268, "rho": -0.243, "theo": 40.4855, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 40.7749996185303}, {"option": "DRAM270319C00025000", "bid": 27.95, "bid_size": 66.0, "ask": 30.1, "ask_size": 84.0, "iv": 1.006, "open_interest": 0.0, "volume": 0.0, "delta": 0.9111, "gamma": 0.0042, "vega": 0.0623, "theta": -0.0069, "rho": 0.1082, "theo": 28.426, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 29.0500001907349}, {"option": "DRAM270319P00025000", "bid": 1.46, "bid_size": 927.0, "ask": 2.13, "ask_size": 680.0, "iv": 0.8866, "open_interest": 60.0, "volume": 113.0, "delta": -0.0838, "gamma": 0.0042, "vega": 0.0624, "theta": -0.0121, "rho": -0.0357, "theo": 1.9598, "change": -0.33, "open": 2.2, "high": 2.2, "low": 1.79, "tick": "up", "last_trade_price": 1.81, "last_trade_time": "2026-08-03T15:10:39", "percent_change": -15.4206, "prev_day_close": 2.14000004529953}, {"option": "DRAM270319C00030000", "bid": 24.1, "bid_size": 471.0, "ask": 25.75, "ask_size": 357.0, "iv": 0.9027, "open_interest": 60.0, "volume": 1.0, "delta": 0.8672, "gamma": 0.0057, "vega": 0.0843, "theta": -0.0117, "rho": 0.1186, "theo": 24.861, "change": -0.865, "open": 24.56, "high": 24.56, "low": 24.56, "tick": "down", "last_trade_price": 24.56, "last_trade_time": "2026-08-03T11:02:36", "percent_change": -3.40216, "prev_day_close": 25.4250001907349}, {"option": "DRAM270319P00030000", "bid": 2.8, "bid_size": 668.0, "ask": 3.55, "ask_size": 1559.0, "iv": 0.884, "open_interest": 1241.0, "volume": 112.0, "delta": -0.1279, "gamma": 0.0058, "vega": 0.0845, "theta": -0.0161, "rho": -0.0551, "theo": 3.2705, "change": -0.065, "open": 3.12, "high": 3.2, "low": 3.12, "tick": "up", "last_trade_price": 3.18, "last_trade_time": "2026-08-03T15:06:49", "percent_change": -2.00308, "prev_day_close": 3.24500000476837}, {"option": "DRAM270319C00031000", "bid": 23.05, "bid_size": 489.0, "ask": 25.5, "ask_size": 397.0, "iv": 0.9012, "open_interest": 17.0, "volume": 0.0, "delta": 0.8576, "gamma": 0.006, "vega": 0.0886, "theta": -0.0126, "rho": 0.12, "theo": 24.1955, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.8, "last_trade_time": "2026-07-30T09:41:37", "percent_change": 0.0, "prev_day_close": 24.6749992370605}, {"option": "DRAM270319P00031000", "bid": 3.15, "bid_size": 531.0, "ask": 4.25, "ask_size": 2110.0, "iv": 0.9059, "open_interest": 2.0, "volume": 0.0, "delta": -0.1376, "gamma": 0.0061, "vega": 0.0889, "theta": -0.0168, "rho": -0.0593, "theo": 3.5802, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.3, "last_trade_time": "2026-07-29T10:09:55", "percent_change": 0.0, "prev_day_close": 3.57500004768372}, {"option": "DRAM270319C00032000", "bid": 22.35, "bid_size": 133.0, "ask": 24.6, "ask_size": 88.0, "iv": 0.8818, "open_interest": 15.0, "volume": 0.0, "delta": 0.8478, "gamma": 0.0064, "vega": 0.0928, "theta": -0.0135, "rho": 0.1212, "theo": 23.5461, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 26.82, "last_trade_time": "2026-07-20T14:23:59", "percent_change": 0.0, "prev_day_close": 24.125}, {"option": "DRAM270319P00032000", "bid": 3.4, "bid_size": 357.0, "ask": 4.6, "ask_size": 2039.0, "iv": 0.8997, "open_interest": 503.0, "volume": 0.0, "delta": -0.1474, "gamma": 0.0064, "vega": 0.0932, "theta": -0.0176, "rho": -0.0638, "theo": 3.9065, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.95, "last_trade_time": "2026-07-29T13:32:44", "percent_change": 0.0, "prev_day_close": 3.92500007152557}, {"option": "DRAM270319C00033000", "bid": 21.75, "bid_size": 91.0, "ask": 23.95, "ask_size": 42.0, "iv": 0.8805, "open_interest": 2.0, "volume": 0.0, "delta": 0.8378, "gamma": 0.0067, "vega": 0.097, "theta": -0.0144, "rho": 0.1222, "theo": 22.9126, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.5, "last_trade_time": "2026-07-29T11:27:05", "percent_change": 0.0, "prev_day_close": 23.5}, {"option": "DRAM270319P00033000", "bid": 3.75, "bid_size": 47.0, "ask": 4.95, "ask_size": 1747.0, "iv": 0.8976, "open_interest": 1.0, "volume": 0.0, "delta": -0.1576, "gamma": 0.0067, "vega": 0.0974, "theta": -0.0183, "rho": -0.0682, "theo": 4.2489, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.23, "last_trade_time": "2026-07-02T10:29:57", "percent_change": 0.0, "prev_day_close": 4.17499995231628}, {"option": "DRAM270319C00034000", "bid": 21.1, "bid_size": 437.0, "ask": 23.2, "ask_size": 241.0, "iv": 0.8702, "open_interest": 8.0, "volume": 0.0, "delta": 0.8276, "gamma": 0.007, "vega": 0.101, "theta": -0.0152, "rho": 0.1231, "theo": 22.2947, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.72, "last_trade_time": "2026-07-28T11:09:23", "percent_change": 0.0, "prev_day_close": 22.8000001907349}, {"option": "DRAM270319P00034000", "bid": 4.05, "bid_size": 698.0, "ask": 5.35, "ask_size": 2148.0, "iv": 0.894, "open_interest": 92.0, "volume": 0.0, "delta": -0.1679, "gamma": 0.007, "vega": 0.1014, "theta": -0.019, "rho": -0.0727, "theo": 4.6069, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 4.6, "last_trade_time": "2026-07-20T12:44:32", "percent_change": 0.0, "prev_day_close": 4.60000014305115}, {"option": "DRAM270319C00035000", "bid": 20.5, "bid_size": 535.0, "ask": 23.0, "ask_size": 521.0, "iv": 0.888, "open_interest": 17.0, "volume": 2.0, "delta": 0.8173, "gamma": 0.0072, "vega": 0.1049, "theta": -0.0161, "rho": 0.1238, "theo": 21.6923, "change": -1.675, "open": 20.5, "high": 20.5, "low": 20.5, "tick": "down", "last_trade_price": 20.5, "last_trade_time": "2026-08-03T10:18:11", "percent_change": -7.55355, "prev_day_close": 22.1749992370605}, {"option": "DRAM270319P00035000", "bid": 4.45, "bid_size": 598.0, "ask": 5.4, "ask_size": 1475.0, "iv": 0.8774, "open_interest": 179.0, "volume": 0.0, "delta": -0.1783, "gamma": 0.0073, "vega": 0.1054, "theta": -0.0196, "rho": -0.0776, "theo": 4.9803, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 5.88, "last_trade_time": "2026-07-28T14:35:11", "percent_change": 0.0, "prev_day_close": 4.95000004768372}, {"option": "DRAM270319C00036000", "bid": 19.95, "bid_size": 502.0, "ask": 22.4, "ask_size": 505.0, "iv": 0.8869, "open_interest": 6.0, "volume": 0.0, "delta": 0.8068, "gamma": 0.0075, "vega": 0.1087, "theta": -0.0169, "rho": 0.1242, "theo": 21.1055, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.68, "last_trade_time": "2026-07-27T10:47:37", "percent_change": 0.0, "prev_day_close": 21.6499996185303}, {"option": "DRAM270319P00036000", "bid": 4.75, "bid_size": 782.0, "ask": 5.85, "ask_size": 1666.0, "iv": 0.8743, "open_interest": 28.0, "volume": 0.0, "delta": -0.189, "gamma": 0.0076, "vega": 0.1092, "theta": -0.0203, "rho": -0.0821, "theo": 5.3699, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.3, "last_trade_time": "2026-07-20T09:45:18", "percent_change": 0.0, "prev_day_close": 5.45000004768372}, {"option": "DRAM270319C00037000", "bid": 19.35, "bid_size": 558.0, "ask": 22.2, "ask_size": 533.0, "iv": 0.9, "open_interest": 13.0, "volume": 2.0, "delta": 0.7962, "gamma": 0.0078, "vega": 0.1124, "theta": -0.0177, "rho": 0.1246, "theo": 20.5342, "change": -1.34, "open": 18.65, "high": 19.71, "low": 18.65, "tick": "up", "last_trade_price": 19.71, "last_trade_time": "2026-08-03T11:42:59", "percent_change": -6.3658, "prev_day_close": 21.0500001907349}, {"option": "DRAM270319P00037000", "bid": 5.35, "bid_size": 10.0, "ask": 6.75, "ask_size": 2143.0, "iv": 0.9031, "open_interest": 3.0, "volume": 0.0, "delta": -0.1997, "gamma": 0.0079, "vega": 0.113, "theta": -0.0209, "rho": -0.0868, "theo": 5.7753, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.54, "last_trade_time": "2026-07-17T09:47:12", "percent_change": 0.0, "prev_day_close": 5.97500014305115}, {"option": "DRAM270319C00038000", "bid": 18.8, "bid_size": 580.0, "ask": 20.95, "ask_size": 429.0, "iv": 0.868, "open_interest": 49.0, "volume": 0.0, "delta": 0.7855, "gamma": 0.008, "vega": 0.116, "theta": -0.0184, "rho": 0.1248, "theo": 19.978, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 20.5, "last_trade_time": "2026-07-31T14:03:54", "percent_change": 0.0, "prev_day_close": 20.5250005722046}, {"option": "DRAM270319P00038000", "bid": 5.6, "bid_size": 514.0, "ask": 6.4, "ask_size": 629.0, "iv": 0.8602, "open_interest": 1516.0, "volume": 22.0, "delta": -0.2106, "gamma": 0.0082, "vega": 0.1165, "theta": -0.0215, "rho": -0.0918, "theo": 6.196, "change": -0.1, "open": 6.79, "high": 6.8, "low": 5.95, "tick": "up", "last_trade_price": 6.05, "last_trade_time": "2026-08-03T15:10:57", "percent_change": -1.62602, "prev_day_close": 6.15000009536743}, {"option": "DRAM270319C00039000", "bid": 18.25, "bid_size": 517.0, "ask": 21.55, "ask_size": 621.0, "iv": 0.914, "open_interest": 32.0, "volume": 0.0, "delta": 0.7747, "gamma": 0.0083, "vega": 0.1194, "theta": -0.0192, "rho": 0.1249, "theo": 19.4365, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.52, "last_trade_time": "2026-07-28T14:18:25", "percent_change": 0.0, "prev_day_close": 19.875}, {"option": "DRAM270319P00039000", "bid": 5.85, "bid_size": 897.0, "ask": 7.35, "ask_size": 2006.0, "iv": 0.8728, "open_interest": 39.0, "volume": 20.0, "delta": -0.2215, "gamma": 0.0084, "vega": 0.1199, "theta": -0.0221, "rho": -0.0967, "theo": 6.6314, "change": 0.7, "open": 7.18, "high": 7.25, "low": 7.13, "tick": "up", "last_trade_price": 7.25, "last_trade_time": "2026-08-03T10:04:09", "percent_change": 10.687, "prev_day_close": 6.54999995231628}, {"option": "DRAM270319C00040000", "bid": 17.95, "bid_size": 724.0, "ask": 20.5, "ask_size": 744.0, "iv": 0.8995, "open_interest": 257.0, "volume": 100.0, "delta": 0.7639, "gamma": 0.0086, "vega": 0.1226, "theta": -0.0199, "rho": 0.1248, "theo": 18.9096, "change": -2.25, "open": 16.52, "high": 17.1, "low": 16.52, "tick": "no_change", "last_trade_price": 17.1, "last_trade_time": "2026-08-03T09:46:28", "percent_change": -11.6279, "prev_day_close": 19.3500003814697}, {"option": "DRAM270319P00040000", "bid": 6.5, "bid_size": 609.0, "ask": 7.45, "ask_size": 1241.0, "iv": 0.8653, "open_interest": 2631.0, "volume": 11.0, "delta": -0.2326, "gamma": 0.0087, "vega": 0.1232, "theta": -0.0226, "rho": -0.1016, "theo": 7.0814, "change": -0.025, "open": 7.7, "high": 7.72, "low": 7.2, "tick": "down", "last_trade_price": 7.2, "last_trade_time": "2026-08-03T11:18:35", "percent_change": -0.346019, "prev_day_close": 7.22499990463257}, {"option": "DRAM270319C00041000", "bid": 17.2, "bid_size": 499.0, "ask": 19.65, "ask_size": 463.0, "iv": 0.8746, "open_interest": 15.0, "volume": 0.0, "delta": 0.753, "gamma": 0.0088, "vega": 0.1258, "theta": -0.0205, "rho": 0.1246, "theo": 18.3973, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.8, "last_trade_time": "2026-07-29T12:19:30", "percent_change": 0.0, "prev_day_close": 18.9750003814697}, {"option": "DRAM270319P00041000", "bid": 6.9, "bid_size": 728.0, "ask": 8.4, "ask_size": 2144.0, "iv": 0.8808, "open_interest": 25.0, "volume": 10.0, "delta": -0.2437, "gamma": 0.0089, "vega": 0.1265, "theta": -0.0231, "rho": -0.1065, "theo": 7.5468, "change": 0.745, "open": 8.13, "high": 8.22, "low": 8.13, "tick": "no_change", "last_trade_price": 8.22, "last_trade_time": "2026-08-03T10:07:21", "percent_change": 9.96656, "prev_day_close": 7.47499990463257}, {"option": "DRAM270319C00042000", "bid": 16.7, "bid_size": 533.0, "ask": 19.65, "ask_size": 632.0, "iv": 0.8925, "open_interest": 6.0, "volume": 0.0, "delta": 0.742, "gamma": 0.009, "vega": 0.1288, "theta": -0.0212, "rho": 0.1243, "theo": 17.8994, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 16.53, "last_trade_time": "2026-07-28T14:47:06", "percent_change": 0.0, "prev_day_close": 18.375}, {"option": "DRAM270319P00042000", "bid": 7.55, "bid_size": 159.0, "ask": 9.15, "ask_size": 2105.0, "iv": 0.8963, "open_interest": 35.0, "volume": 8.0, "delta": -0.2548, "gamma": 0.0092, "vega": 0.1295, "theta": -0.0236, "rho": -0.1113, "theo": 8.027, "change": 0.595, "open": 8.78, "high": 8.78, "low": 8.71, "tick": "up", "last_trade_price": 8.72, "last_trade_time": "2026-08-03T10:11:14", "percent_change": 7.32308, "prev_day_close": 8.12499976158142}, {"option": "DRAM270319C00043000", "bid": 16.95, "bid_size": 439.0, "ask": 18.65, "ask_size": 704.0, "iv": 0.8992, "open_interest": 27.0, "volume": 0.0, "delta": 0.7311, "gamma": 0.0092, "vega": 0.1316, "theta": -0.0218, "rho": 0.1239, "theo": 17.4154, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.77, "last_trade_time": "2026-07-31T12:41:00", "percent_change": 0.0, "prev_day_close": 17.8000001907349}, {"option": "DRAM270319P00043000", "bid": 8.05, "bid_size": 61.0, "ask": 9.2, "ask_size": 1848.0, "iv": 0.878, "open_interest": 15.0, "volume": 8.0, "delta": -0.266, "gamma": 0.0094, "vega": 0.1323, "theta": -0.0241, "rho": -0.1165, "theo": 8.5211, "change": 0.625, "open": 9.23, "high": 9.3, "low": 9.22, "tick": "up", "last_trade_price": 9.3, "last_trade_time": "2026-08-03T10:11:14", "percent_change": 7.20461, "prev_day_close": 8.67500019073486}, {"option": "DRAM270319C00044000", "bid": 16.6, "bid_size": 345.0, "ask": 17.6, "ask_size": 364.0, "iv": 0.8804, "open_interest": 25.0, "volume": 0.0, "delta": 0.7201, "gamma": 0.0094, "vega": 0.1343, "theta": -0.0224, "rho": 0.1235, "theo": 16.9449, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.8, "last_trade_time": "2026-07-10T10:11:03", "percent_change": 0.0, "prev_day_close": 17.5249996185303}, {"option": "DRAM270319P00044000", "bid": 8.3, "bid_size": 837.0, "ask": 10.1, "ask_size": 2125.0, "iv": 0.8817, "open_interest": 3.0, "volume": 0.0, "delta": -0.2772, "gamma": 0.0096, "vega": 0.1349, "theta": -0.0245, "rho": -0.1213, "theo": 9.0289, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.6, "last_trade_time": "2026-07-28T10:41:20", "percent_change": 0.0, "prev_day_close": 8.97499990463257}, {"option": "DRAM270319C00045000", "bid": 15.25, "bid_size": 972.0, "ask": 17.0, "ask_size": 164.0, "iv": 0.8414, "open_interest": 177.0, "volume": 9.0, "delta": 0.7092, "gamma": 0.0096, "vega": 0.1369, "theta": -0.0229, "rho": 0.1229, "theo": 16.4877, "change": -0.275, "open": 15.65, "high": 16.35, "low": 15.65, "tick": "up", "last_trade_price": 16.35, "last_trade_time": "2026-08-03T14:07:52", "percent_change": -1.65414, "prev_day_close": 16.625}, {"option": "DRAM270319P00045000", "bid": 9.05, "bid_size": 137.0, "ask": 9.75, "ask_size": 658.0, "iv": 0.8574, "open_interest": 483.0, "volume": 1.0, "delta": -0.2882, "gamma": 0.0098, "vega": 0.1375, "theta": -0.0249, "rho": -0.1267, "theo": 9.5468, "change": 0.575, "open": 10.15, "high": 10.15, "low": 10.15, "tick": "up", "last_trade_price": 10.15, "last_trade_time": "2026-08-03T10:00:30", "percent_change": 6.00522, "prev_day_close": 9.57499980926514}, {"option": "DRAM270319C00046000", "bid": 14.85, "bid_size": 990.0, "ask": 17.75, "ask_size": 687.0, "iv": 0.8853, "open_interest": 16.0, "volume": 2.0, "delta": 0.6983, "gamma": 0.0098, "vega": 0.1393, "theta": -0.0234, "rho": 0.1222, "theo": 16.0435, "change": -0.165, "open": 14.95, "high": 16.06, "low": 14.95, "tick": "up", "last_trade_price": 16.06, "last_trade_time": "2026-08-03T13:52:43", "percent_change": -1.01695, "prev_day_close": 16.2250003814697}, {"option": "DRAM270319P00046000", "bid": 9.45, "bid_size": 714.0, "ask": 10.5, "ask_size": 1188.0, "iv": 0.8593, "open_interest": 124.0, "volume": 1.0, "delta": -0.2995, "gamma": 0.01, "vega": 0.1399, "theta": -0.0252, "rho": -0.131, "theo": 10.0846, "change": -0.29, "open": 9.71, "high": 9.71, "low": 9.71, "tick": "down", "last_trade_price": 9.71, "last_trade_time": "2026-08-03T13:52:43", "percent_change": -2.9, "prev_day_close": 10.0}, {"option": "DRAM270319C00047000", "bid": 15.2, "bid_size": 570.0, "ask": 17.2, "ask_size": 878.0, "iv": 0.9076, "open_interest": 52.0, "volume": 2.0, "delta": 0.6874, "gamma": 0.01, "vega": 0.1415, "theta": -0.0239, "rho": 0.1214, "theo": 15.6124, "change": -1.35, "open": 14.85, "high": 14.85, "low": 14.85, "tick": "down", "last_trade_price": 14.85, "last_trade_time": "2026-08-03T11:57:58", "percent_change": -8.33333, "prev_day_close": 16.2000002861023}, {"option": "DRAM270319P00047000", "bid": 9.9, "bid_size": 760.0, "ask": 11.65, "ask_size": 1928.0, "iv": 0.8763, "open_interest": 62.0, "volume": 0.0, "delta": -0.3106, "gamma": 0.0102, "vega": 0.1422, "theta": -0.0256, "rho": -0.1365, "theo": 10.6331, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 10.45, "last_trade_time": "2026-07-31T14:03:54", "percent_change": 0.0, "prev_day_close": 10.4500002861023}, {"option": "DRAM270319C00048000", "bid": 14.35, "bid_size": 757.0, "ask": 16.75, "ask_size": 699.0, "iv": 0.8901, "open_interest": 30.0, "volume": 12.0, "delta": 0.6765, "gamma": 0.0101, "vega": 0.1436, "theta": -0.0244, "rho": 0.1206, "theo": 15.1938, "change": -0.8, "open": 13.98, "high": 14.75, "low": 13.66, "tick": "up", "last_trade_price": 14.75, "last_trade_time": "2026-08-03T10:23:57", "percent_change": -5.1447, "prev_day_close": 15.5500001907349}, {"option": "DRAM270319P00048000", "bid": 10.65, "bid_size": 283.0, "ask": 12.15, "ask_size": 1852.0, "iv": 0.8798, "open_interest": 18.0, "volume": 2.0, "delta": -0.3217, "gamma": 0.0104, "vega": 0.1442, "theta": -0.0259, "rho": -0.1412, "theo": 11.1942, "change": 0.2, "open": 12.1, "high": 12.1, "low": 11.3, "tick": "down", "last_trade_price": 11.3, "last_trade_time": "2026-08-03T11:19:18", "percent_change": 1.8018, "prev_day_close": 11.0999999046326}, {"option": "DRAM270319C00049000", "bid": 13.35, "bid_size": 1092.0, "ask": 16.7, "ask_size": 793.0, "iv": 0.8809, "open_interest": 28.0, "volume": 2.0, "delta": 0.6658, "gamma": 0.0103, "vega": 0.1456, "theta": -0.0248, "rho": 0.1198, "theo": 14.7874, "change": -0.7, "open": 13.47, "high": 14.6, "low": 13.47, "tick": "up", "last_trade_price": 14.6, "last_trade_time": "2026-08-03T13:21:46", "percent_change": -4.57516, "prev_day_close": 15.2999997138977}, {"option": "DRAM270319P00049000", "bid": 11.2, "bid_size": 573.0, "ask": 12.6, "ask_size": 1838.0, "iv": 0.8739, "open_interest": 14.0, "volume": 0.0, "delta": -0.3328, "gamma": 0.0105, "vega": 0.1462, "theta": -0.0262, "rho": -0.1458, "theo": 11.7675, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.3, "last_trade_time": "2026-07-29T12:02:21", "percent_change": 0.0, "prev_day_close": 11.7249999046326}, {"option": "DRAM270319C00050000", "bid": 13.85, "bid_size": 795.0, "ask": 15.2, "ask_size": 948.0, "iv": 0.8729, "open_interest": 302.0, "volume": 39.0, "delta": 0.655, "gamma": 0.0104, "vega": 0.1474, "theta": -0.0252, "rho": 0.1189, "theo": 14.3927, "change": -0.455, "open": 12.9, "high": 14.8, "low": 12.75, "tick": "up", "last_trade_price": 14.37, "last_trade_time": "2026-08-03T15:23:55", "percent_change": -3.06914, "prev_day_close": 14.8249998092651}, {"option": "DRAM270319P00050000", "bid": 11.7, "bid_size": 862.0, "ask": 13.0, "ask_size": 1521.0, "iv": 0.864, "open_interest": 1143.0, "volume": 3.0, "delta": -0.3438, "gamma": 0.0107, "vega": 0.148, "theta": -0.0264, "rho": -0.151, "theo": 12.3528, "change": 0.375, "open": 12.15, "high": 12.65, "low": 12.15, "tick": "up", "last_trade_price": 12.65, "last_trade_time": "2026-08-03T11:36:16", "percent_change": 3.05499, "prev_day_close": 12.2750000953674}, {"option": "DRAM270319C00051000", "bid": 13.8, "bid_size": 106.0, "ask": 14.5, "ask_size": 308.0, "iv": 0.8728, "open_interest": 112.0, "volume": 8.0, "delta": 0.6444, "gamma": 0.0105, "vega": 0.1491, "theta": -0.0256, "rho": 0.1179, "theo": 14.0095, "change": -0.2, "open": 12.82, "high": 14.3, "low": 12.82, "tick": "up", "last_trade_price": 14.3, "last_trade_time": "2026-08-03T15:13:48", "percent_change": -1.37931, "prev_day_close": 14.5}, {"option": "DRAM270319P00051000", "bid": 12.15, "bid_size": 881.0, "ask": 13.4, "ask_size": 1154.0, "iv": 0.852, "open_interest": 53.0, "volume": 1.0, "delta": -0.3547, "gamma": 0.0108, "vega": 0.1496, "theta": -0.0266, "rho": -0.156, "theo": 12.9495, "change": 0.075, "open": 13.0, "high": 13.0, "low": 13.0, "tick": "no_change", "last_trade_price": 13.0, "last_trade_time": "2026-08-03T13:00:19", "percent_change": 0.580269, "prev_day_close": 12.9250001907349}, {"option": "DRAM270319C00052000", "bid": 12.55, "bid_size": 964.0, "ask": 14.3, "ask_size": 338.0, "iv": 0.8487, "open_interest": 28.0, "volume": 6.0, "delta": 0.6339, "gamma": 0.0106, "vega": 0.1507, "theta": -0.026, "rho": 0.1169, "theo": 13.6376, "change": 0.15, "open": 12.95, "high": 14.25, "low": 12.7, "tick": "up", "last_trade_price": 14.25, "last_trade_time": "2026-08-03T15:42:07", "percent_change": 1.06383, "prev_day_close": 14.0999999046326}, {"option": "DRAM270319P00052000", "bid": 12.8, "bid_size": 749.0, "ask": 14.55, "ask_size": 1605.0, "iv": 0.8708, "open_interest": 21.0, "volume": 3.0, "delta": -0.3656, "gamma": 0.0109, "vega": 0.1511, "theta": -0.0268, "rho": -0.16, "theo": 13.5585, "change": 0.575, "open": 14.1, "high": 14.1, "low": 14.1, "tick": "down", "last_trade_price": 14.1, "last_trade_time": "2026-08-03T09:30:06", "percent_change": 4.25139, "prev_day_close": 13.5250000953674}, {"option": "DRAM270319C00053000", "bid": 11.95, "bid_size": 1136.0, "ask": 14.8, "ask_size": 758.0, "iv": 0.8688, "open_interest": 32.0, "volume": 0.0, "delta": 0.6234, "gamma": 0.0107, "vega": 0.1521, "theta": -0.0263, "rho": 0.1157, "theo": 13.2769, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.35, "last_trade_time": "2026-07-31T09:43:58", "percent_change": 0.0, "prev_day_close": 13.625}, {"option": "DRAM270319P00053000", "bid": 13.45, "bid_size": 753.0, "ask": 15.15, "ask_size": 1601.0, "iv": 0.8706, "open_interest": 140.0, "volume": 0.0, "delta": -0.3763, "gamma": 0.0111, "vega": 0.1525, "theta": -0.027, "rho": -0.1652, "theo": 14.1792, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.41, "last_trade_time": "2026-07-27T11:15:32", "percent_change": 0.0, "prev_day_close": 14.0749998092651}, {"option": "DRAM270319C00054000", "bid": 11.8, "bid_size": 999.0, "ask": 13.6, "ask_size": 585.0, "iv": 0.8472, "open_interest": 31.0, "volume": 0.0, "delta": 0.613, "gamma": 0.0108, "vega": 0.1534, "theta": -0.0266, "rho": 0.1146, "theo": 12.9269, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.4, "last_trade_time": "2026-07-29T14:37:04", "percent_change": 0.0, "prev_day_close": 13.4000000953674}, {"option": "DRAM270319P00054000", "bid": 13.9, "bid_size": 875.0, "ask": 15.8, "ask_size": 1524.0, "iv": 0.8648, "open_interest": 36.0, "volume": 0.0, "delta": -0.387, "gamma": 0.0112, "vega": 0.1537, "theta": -0.0271, "rho": -0.1698, "theo": 14.8109, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.57, "last_trade_time": "2026-07-29T11:17:31", "percent_change": 0.0, "prev_day_close": 14.9250001907349}, {"option": "DRAM270319C00055000", "bid": 11.2, "bid_size": 1405.0, "ask": 14.2, "ask_size": 1207.0, "iv": 0.8688, "open_interest": 295.0, "volume": 44.0, "delta": 0.6028, "gamma": 0.0109, "vega": 0.1545, "theta": -0.0269, "rho": 0.1135, "theo": 12.5874, "change": -0.625, "open": 11.4, "high": 12.65, "low": 11.4, "tick": "no_change", "last_trade_price": 12.55, "last_trade_time": "2026-08-03T15:22:03", "percent_change": -4.74383, "prev_day_close": 13.1749997138977}, {"option": "DRAM270319P00055000", "bid": 14.8, "bid_size": 623.0, "ask": 15.95, "ask_size": 1113.0, "iv": 0.8568, "open_interest": 68.0, "volume": 3.0, "delta": -0.3976, "gamma": 0.0113, "vega": 0.1549, "theta": -0.0273, "rho": -0.1742, "theo": 15.4529, "change": 0.125, "open": 16.45, "high": 16.45, "low": 15.65, "tick": "down", "last_trade_price": 15.65, "last_trade_time": "2026-08-03T11:50:25", "percent_change": 0.805149, "prev_day_close": 15.5250005722046}, {"option": "DRAM270319C00056000", "bid": 12.0, "bid_size": 114.0, "ask": 12.8, "ask_size": 448.0, "iv": 0.8704, "open_interest": 40.0, "volume": 1.0, "delta": 0.5926, "gamma": 0.011, "vega": 0.1556, "theta": -0.0271, "rho": 0.1124, "theo": 12.2578, "change": -1.325, "open": 11.5, "high": 11.5, "low": 11.5, "tick": "up", "last_trade_price": 11.5, "last_trade_time": "2026-08-03T09:30:01", "percent_change": -10.3314, "prev_day_close": 12.8249998092651}, {"option": "DRAM270319P00056000", "bid": 15.35, "bid_size": 608.0, "ask": 17.05, "ask_size": 1467.0, "iv": 0.8676, "open_interest": 48.0, "volume": 0.0, "delta": -0.4081, "gamma": 0.0114, "vega": 0.1558, "theta": -0.0274, "rho": -0.1784, "theo": 16.1054, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 17.81, "last_trade_time": "2026-07-30T09:32:57", "percent_change": 0.0, "prev_day_close": 16.0750002861023}, {"option": "DRAM270319C00057000", "bid": 11.5, "bid_size": 670.0, "ask": 12.4, "ask_size": 441.0, "iv": 0.8617, "open_interest": 49.0, "volume": 1.0, "delta": 0.5826, "gamma": 0.0111, "vega": 0.1565, "theta": -0.0273, "rho": 0.1112, "theo": 11.9379, "change": -1.375, "open": 11.0, "high": 11.0, "low": 11.0, "tick": "down", "last_trade_price": 11.0, "last_trade_time": "2026-08-03T09:30:02", "percent_change": -11.1111, "prev_day_close": 12.375}, {"option": "DRAM270319P00057000", "bid": 16.0, "bid_size": 373.0, "ask": 17.75, "ask_size": 760.0, "iv": 0.8681, "open_interest": 54.0, "volume": 0.0, "delta": -0.4184, "gamma": 0.0114, "vega": 0.1567, "theta": -0.0274, "rho": -0.1835, "theo": 16.7675, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.75, "last_trade_time": "2026-07-29T10:05:10", "percent_change": 0.0, "prev_day_close": 16.875}, {"option": "DRAM270319C00058000", "bid": 10.5, "bid_size": 1222.0, "ask": 12.2, "ask_size": 593.0, "iv": 0.8431, "open_interest": 22.0, "volume": 1.0, "delta": 0.5727, "gamma": 0.0111, "vega": 0.1573, "theta": -0.0275, "rho": 0.1099, "theo": 11.6276, "change": -0.565, "open": 11.66, "high": 11.66, "low": 11.66, "tick": "up", "last_trade_price": 11.66, "last_trade_time": "2026-08-03T14:07:52", "percent_change": -4.62168, "prev_day_close": 12.2249999046326}, {"option": "DRAM270319P00058000", "bid": 16.7, "bid_size": 303.0, "ask": 18.2, "ask_size": 681.0, "iv": 0.8617, "open_interest": 1.0, "volume": 0.0, "delta": -0.4287, "gamma": 0.0115, "vega": 0.1574, "theta": -0.0275, "rho": -0.1873, "theo": 17.4394, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.0, "last_trade_time": "2026-07-02T13:16:26", "percent_change": 0.0, "prev_day_close": 17.6000003814697}, {"option": "DRAM270319C00059000", "bid": 10.15, "bid_size": 1236.0, "ask": 11.85, "ask_size": 614.0, "iv": 0.8399, "open_interest": 69.0, "volume": 17.0, "delta": 0.5629, "gamma": 0.0112, "vega": 0.158, "theta": -0.0277, "rho": 0.1087, "theo": 11.3265, "change": -1.735, "open": 9.85, "high": 10.37, "low": 9.85, "tick": "down", "last_trade_price": 10.19, "last_trade_time": "2026-08-03T09:55:47", "percent_change": -14.5493, "prev_day_close": 11.9249997138977}, {"option": "DRAM270319P00059000", "bid": 17.35, "bid_size": 307.0, "ask": 19.1, "ask_size": 622.0, "iv": 0.8674, "open_interest": 45.0, "volume": 0.0, "delta": -0.4388, "gamma": 0.0116, "vega": 0.158, "theta": -0.0275, "rho": -0.1917, "theo": 18.1216, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.15, "last_trade_time": "2026-07-31T10:14:10", "percent_change": 0.0, "prev_day_close": 18.1500005722046}, {"option": "DRAM270319C00060000", "bid": 10.7, "bid_size": 162.0, "ask": 11.5, "ask_size": 431.0, "iv": 0.8644, "open_interest": 1193.0, "volume": 509.0, "delta": 0.5533, "gamma": 0.0112, "vega": 0.1586, "theta": -0.0279, "rho": 0.1074, "theo": 11.0346, "change": -0.425, "open": 9.7, "high": 11.2, "low": 9.7, "tick": "up", "last_trade_price": 11.2, "last_trade_time": "2026-08-03T14:18:59", "percent_change": -3.65591, "prev_day_close": 11.625}, {"option": "DRAM270319P00060000", "bid": 17.9, "bid_size": 631.0, "ask": 18.65, "ask_size": 10.0, "iv": 0.8268, "open_interest": 208.0, "volume": 0.0, "delta": -0.4489, "gamma": 0.0117, "vega": 0.1585, "theta": -0.0275, "rho": -0.1962, "theo": 18.8133, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 19.5, "last_trade_time": "2026-07-30T09:50:33", "percent_change": 0.0, "prev_day_close": 18.9499998092651}, {"option": "DRAM270319C00061000", "bid": 10.0, "bid_size": 874.0, "ask": 11.35, "ask_size": 474.0, "iv": 0.8554, "open_interest": 45.0, "volume": 1.0, "delta": 0.5437, "gamma": 0.0113, "vega": 0.1591, "theta": -0.028, "rho": 0.1061, "theo": 10.7515, "change": -0.825, "open": 10.4, "high": 10.4, "low": 10.4, "tick": "down", "last_trade_price": 10.4, "last_trade_time": "2026-08-03T13:10:55", "percent_change": -7.34967, "prev_day_close": 11.2249999046326}, {"option": "DRAM270319P00061000", "bid": 18.75, "bid_size": 352.0, "ask": 20.45, "ask_size": 683.0, "iv": 0.8659, "open_interest": 22.0, "volume": 0.0, "delta": -0.4588, "gamma": 0.0117, "vega": 0.1589, "theta": -0.0275, "rho": -0.2002, "theo": 19.514, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.2, "last_trade_time": "2026-07-16T11:45:06", "percent_change": 0.0, "prev_day_close": 19.6499996185303}, {"option": "DRAM270319C00062000", "bid": 10.2, "bid_size": 126.0, "ask": 11.15, "ask_size": 921.0, "iv": 0.8725, "open_interest": 32.0, "volume": 0.0, "delta": 0.5344, "gamma": 0.0113, "vega": 0.1595, "theta": -0.0281, "rho": 0.1048, "theo": 10.4768, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.15, "last_trade_time": "2026-07-22T09:37:12", "percent_change": 0.0, "prev_day_close": 10.9249997138977}, {"option": "DRAM270319P00062000", "bid": 19.45, "bid_size": 371.0, "ask": 21.15, "ask_size": 673.0, "iv": 0.8657, "open_interest": 62.0, "volume": 0.0, "delta": -0.4689, "gamma": 0.0118, "vega": 0.1593, "theta": -0.0275, "rho": -0.2033, "theo": 20.211, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.0, "last_trade_time": "2026-07-17T15:08:05", "percent_change": 0.0, "prev_day_close": 20.25}, {"option": "DRAM270319C00063000", "bid": 9.85, "bid_size": 407.0, "ask": 10.8, "ask_size": 782.0, "iv": 0.8672, "open_interest": 41.0, "volume": 0.0, "delta": 0.5251, "gamma": 0.0113, "vega": 0.1598, "theta": -0.0282, "rho": 0.1036, "theo": 10.2102, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.45, "last_trade_time": "2026-07-31T11:29:00", "percent_change": 0.0, "prev_day_close": 10.9250001907349}, {"option": "DRAM270319P00063000", "bid": 20.05, "bid_size": 444.0, "ask": 21.9, "ask_size": 690.0, "iv": 0.8625, "open_interest": 22.0, "volume": 0.0, "delta": -0.4782, "gamma": 0.0118, "vega": 0.1594, "theta": -0.0275, "rho": -0.2075, "theo": 20.941, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 20.65, "last_trade_time": "2026-07-31T13:23:34", "percent_change": 0.0, "prev_day_close": 20.9250001907349}, {"option": "DRAM270319C00064000", "bid": 9.5, "bid_size": 743.0, "ask": 10.45, "ask_size": 585.0, "iv": 0.8614, "open_interest": 82.0, "volume": 2.0, "delta": 0.516, "gamma": 0.0113, "vega": 0.16, "theta": -0.0283, "rho": 0.1023, "theo": 9.9515, "change": -0.5, "open": 9.65, "high": 10.05, "low": 9.65, "tick": "up", "last_trade_price": 10.05, "last_trade_time": "2026-08-03T15:48:12", "percent_change": -4.73934, "prev_day_close": 10.5500001907349}, {"option": "DRAM270319P00064000", "bid": 20.9, "bid_size": 260.0, "ask": 22.65, "ask_size": 595.0, "iv": 0.8676, "open_interest": 18.0, "volume": 32.0, "delta": -0.4881, "gamma": 0.0118, "vega": 0.1596, "theta": -0.0274, "rho": -0.2115, "theo": 21.6541, "change": 0.0, "open": 21.8, "high": 21.8, "low": 21.8, "tick": "no_change", "last_trade_price": 21.8, "last_trade_time": "2026-08-03T10:48:19", "percent_change": -8.74931e-07, "prev_day_close": 21.8000001907349}, {"option": "DRAM270319C00065000", "bid": 8.45, "bid_size": 1383.0, "ask": 10.05, "ask_size": 338.0, "iv": 0.8318, "open_interest": 343.0, "volume": 12.0, "delta": 0.507, "gamma": 0.0113, "vega": 0.1601, "theta": -0.0284, "rho": 0.101, "theo": 9.7004, "change": -0.34, "open": 9.2, "high": 9.88, "low": 9.1, "tick": "down", "last_trade_price": 9.86, "last_trade_time": "2026-08-03T14:12:35", "percent_change": -3.33333, "prev_day_close": 10.1999998092651}, {"option": "DRAM270319P00065000", "bid": 21.65, "bid_size": 290.0, "ask": 22.5, "ask_size": 88.0, "iv": 0.8404, "open_interest": 67.0, "volume": 2.0, "delta": -0.4975, "gamma": 0.0119, "vega": 0.1596, "theta": -0.0273, "rho": -0.2154, "theo": 22.3871, "change": -0.375, "open": 22.0, "high": 22.0, "low": 22.0, "tick": "no_change", "last_trade_price": 22.0, "last_trade_time": "2026-08-03T15:53:22", "percent_change": -1.67598, "prev_day_close": 22.375}, {"option": "DRAM270319C00066000", "bid": 8.1, "bid_size": 1366.0, "ask": 9.95, "ask_size": 593.0, "iv": 0.833, "open_interest": 43.0, "volume": 0.0, "delta": 0.4981, "gamma": 0.0113, "vega": 0.1601, "theta": -0.0284, "rho": 0.0996, "theo": 9.4568, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 11.71, "last_trade_time": "2026-07-31T09:42:19", "percent_change": 0.0, "prev_day_close": 10.0250000953674}, {"option": "DRAM270319P00066000", "bid": 22.3, "bid_size": 382.0, "ask": 24.1, "ask_size": 582.0, "iv": 0.8644, "open_interest": 3.0, "volume": 0.0, "delta": -0.5068, "gamma": 0.0119, "vega": 0.1594, "theta": -0.0272, "rho": -0.2182, "theo": 23.1287, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.5, "last_trade_time": "2026-07-13T15:50:44", "percent_change": 0.0, "prev_day_close": 23.2250003814697}, {"option": "DRAM270319C00067000", "bid": 8.3, "bid_size": 1277.0, "ask": 9.6, "ask_size": 468.0, "iv": 0.8431, "open_interest": 96.0, "volume": 3.0, "delta": 0.4894, "gamma": 0.0113, "vega": 0.1601, "theta": -0.0285, "rho": 0.0983, "theo": 9.2205, "change": -0.975, "open": 8.23, "high": 9.0, "low": 8.23, "tick": "up", "last_trade_price": 9.0, "last_trade_time": "2026-08-03T12:10:04", "percent_change": -9.77444, "prev_day_close": 9.97500038146973}, {"option": "DRAM270319P00067000", "bid": 23.0, "bid_size": 318.0, "ask": 24.9, "ask_size": 582.0, "iv": 0.8645, "open_interest": 17.0, "volume": 0.0, "delta": -0.5159, "gamma": 0.0119, "vega": 0.1591, "theta": -0.0271, "rho": -0.2219, "theo": 23.8782, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.73, "last_trade_time": "2026-07-13T10:50:32", "percent_change": 0.0, "prev_day_close": 24.1500005722046}, {"option": "DRAM270319C00068000", "bid": 8.25, "bid_size": 1013.0, "ask": 9.55, "ask_size": 497.0, "iv": 0.8544, "open_interest": 85.0, "volume": 0.0, "delta": 0.4809, "gamma": 0.0113, "vega": 0.16, "theta": -0.0285, "rho": 0.0969, "theo": 8.9913, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.54, "last_trade_time": "2026-07-29T09:33:57", "percent_change": 0.0, "prev_day_close": 9.07499980926514}, {"option": "DRAM270319P00068000", "bid": 23.85, "bid_size": 282.0, "ask": 25.65, "ask_size": 560.0, "iv": 0.8673, "open_interest": 2.0, "volume": 27.0, "delta": -0.5249, "gamma": 0.0119, "vega": 0.159, "theta": -0.027, "rho": -0.2258, "theo": 24.635, "change": 0.6, "open": 25.25, "high": 25.25, "low": 25.25, "tick": "no_change", "last_trade_price": 25.25, "last_trade_time": "2026-08-03T10:22:26", "percent_change": 2.43407, "prev_day_close": 24.6500005722046}, {"option": "DRAM270319C00069000", "bid": 8.45, "bid_size": 338.0, "ask": 9.15, "ask_size": 457.0, "iv": 0.8621, "open_interest": 78.0, "volume": 2.0, "delta": 0.4725, "gamma": 0.0113, "vega": 0.1598, "theta": -0.0285, "rho": 0.0956, "theo": 8.769, "change": -1.65, "open": 7.9, "high": 7.9, "low": 7.9, "tick": "up", "last_trade_price": 7.9, "last_trade_time": "2026-08-03T10:15:15", "percent_change": -17.2775, "prev_day_close": 9.5499997138977}, {"option": "DRAM270319P00069000", "bid": 24.6, "bid_size": 279.0, "ask": 26.4, "ask_size": 567.0, "iv": 0.8665, "open_interest": 1.0, "volume": 0.0, "delta": -0.5338, "gamma": 0.0119, "vega": 0.1586, "theta": -0.0269, "rho": -0.229, "theo": 25.399, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.93, "last_trade_time": "2026-07-15T14:18:06", "percent_change": 0.0, "prev_day_close": 25.4749994277954}, {"option": "DRAM270319C00070000", "bid": 8.3, "bid_size": 2.0, "ask": 9.0, "ask_size": 489.0, "iv": 0.8663, "open_interest": 1585.0, "volume": 17.0, "delta": 0.4642, "gamma": 0.0113, "vega": 0.1595, "theta": -0.0285, "rho": 0.0943, "theo": 8.5532, "change": -0.35, "open": 7.9, "high": 8.72, "low": 7.9, "tick": "up", "last_trade_price": 8.45, "last_trade_time": "2026-08-03T15:26:22", "percent_change": -3.97727, "prev_day_close": 8.7999997138977}, {"option": "DRAM270319P00070000", "bid": 25.5, "bid_size": 384.0, "ask": 26.55, "ask_size": 822.0, "iv": 0.8511, "open_interest": 2135.0, "volume": 0.0, "delta": -0.5425, "gamma": 0.0119, "vega": 0.1583, "theta": -0.0267, "rho": -0.2313, "theo": 26.1695, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.7, "last_trade_time": "2026-07-29T09:40:34", "percent_change": 0.0, "prev_day_close": 26.2000007629395}, {"option": "DRAM270319C00071000", "bid": 7.05, "bid_size": 1516.0, "ask": 8.75, "ask_size": 546.0, "iv": 0.8324, "open_interest": 263.0, "volume": 0.0, "delta": 0.456, "gamma": 0.0113, "vega": 0.1592, "theta": -0.0285, "rho": 0.0931, "theo": 8.3437, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.0, "last_trade_time": "2026-07-31T10:07:56", "percent_change": 0.0, "prev_day_close": 8.84999990463257}, {"option": "DRAM270319P00071000", "bid": 26.15, "bid_size": 269.0, "ask": 27.95, "ask_size": 558.0, "iv": 0.8669, "open_interest": 12.0, "volume": 0.0, "delta": -0.5511, "gamma": 0.0119, "vega": 0.1577, "theta": -0.0266, "rho": -0.2346, "theo": 26.947, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.5, "last_trade_time": "2026-07-29T11:31:46", "percent_change": 0.0, "prev_day_close": 27.0499992370605}, {"option": "DRAM270319C00072000", "bid": 6.9, "bid_size": 919.0, "ask": 8.55, "ask_size": 83.0, "iv": 0.8343, "open_interest": 242.0, "volume": 0.0, "delta": 0.448, "gamma": 0.0112, "vega": 0.1589, "theta": -0.0285, "rho": 0.0918, "theo": 8.1402, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.5, "last_trade_time": "2026-07-28T10:11:38", "percent_change": 0.0, "prev_day_close": 8.875}, {"option": "DRAM270319P00072000", "bid": 26.9, "bid_size": 83.0, "ask": 28.75, "ask_size": 298.0, "iv": 0.8665, "open_interest": 2.0, "volume": 0.0, "delta": -0.5596, "gamma": 0.0119, "vega": 0.1573, "theta": -0.0264, "rho": -0.2384, "theo": 27.7306, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.76, "last_trade_time": "2026-07-16T15:02:27", "percent_change": 0.0, "prev_day_close": 27.9250001907349}, {"option": "DRAM270319C00073000", "bid": 6.95, "bid_size": 740.0, "ask": 8.35, "ask_size": 107.0, "iv": 0.8422, "open_interest": 42.0, "volume": 0.0, "delta": 0.4402, "gamma": 0.0112, "vega": 0.1584, "theta": -0.0284, "rho": 0.0905, "theo": 7.9427, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.6, "last_trade_time": "2026-07-29T11:17:04", "percent_change": 0.0, "prev_day_close": 8.69999980926514}, {"option": "DRAM270319P00073000", "bid": 27.7, "bid_size": 106.0, "ask": 29.5, "ask_size": 284.0, "iv": 0.8658, "open_interest": 0.0, "volume": 0.0, "delta": -0.568, "gamma": 0.0119, "vega": 0.1569, "theta": -0.0262, "rho": -0.2424, "theo": 28.52, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 28.6499996185303}, {"option": "DRAM270319C00074000", "bid": 6.4, "bid_size": 1243.0, "ask": 8.2, "ask_size": 482.0, "iv": 0.8322, "open_interest": 40.0, "volume": 0.0, "delta": 0.4325, "gamma": 0.0112, "vega": 0.158, "theta": -0.0284, "rho": 0.0893, "theo": 7.751, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 8.77, "last_trade_time": "2026-07-30T15:35:25", "percent_change": 0.0, "prev_day_close": 8.54999995231628}, {"option": "DRAM270319P00074000", "bid": 28.65, "bid_size": 154.0, "ask": 30.3, "ask_size": 551.0, "iv": 0.8711, "open_interest": 2.0, "volume": 0.0, "delta": -0.5762, "gamma": 0.0119, "vega": 0.1559, "theta": -0.026, "rho": -0.2439, "theo": 29.3158, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.17, "last_trade_time": "2026-07-13T15:11:57", "percent_change": 0.0, "prev_day_close": 29.4500007629394}, {"option": "DRAM270319C00075000", "bid": 7.2, "bid_size": 394.0, "ask": 8.75, "ask_size": 1391.0, "iv": 0.8871, "open_interest": 367.0, "volume": 80.0, "delta": 0.4249, "gamma": 0.0111, "vega": 0.1574, "theta": -0.0283, "rho": 0.088, "theo": 7.5649, "change": -0.425, "open": 6.61, "high": 7.67, "low": 6.61, "tick": "down", "last_trade_price": 7.6, "last_trade_time": "2026-08-03T14:34:28", "percent_change": -5.29595, "prev_day_close": 8.02500009536743}, {"option": "DRAM270319P00075000", "bid": 29.35, "bid_size": 236.0, "ask": 31.05, "ask_size": 551.0, "iv": 0.8663, "open_interest": 76.0, "volume": 0.0, "delta": -0.5842, "gamma": 0.0119, "vega": 0.1551, "theta": -0.0258, "rho": -0.2467, "theo": 30.1179, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 34.1, "last_trade_time": "2026-07-29T12:27:05", "percent_change": 0.0, "prev_day_close": 30.2249994277954}, {"option": "DRAM270319C00076000", "bid": 6.55, "bid_size": 943.0, "ask": 7.9, "ask_size": 774.0, "iv": 0.8511, "open_interest": 19.0, "volume": 2.0, "delta": 0.4174, "gamma": 0.0111, "vega": 0.1568, "theta": -0.0282, "rho": 0.0867, "theo": 7.3842, "change": -0.825, "open": 7.1, "high": 7.1, "low": 7.1, "tick": "no_change", "last_trade_price": 7.1, "last_trade_time": "2026-08-03T11:05:24", "percent_change": -10.4101, "prev_day_close": 7.92499995231628}, {"option": "DRAM270319P00076000", "bid": 30.05, "bid_size": 377.0, "ask": 31.85, "ask_size": 546.0, "iv": 0.8628, "open_interest": 14.0, "volume": 0.0, "delta": -0.5921, "gamma": 0.0118, "vega": 0.1542, "theta": -0.0256, "rho": -0.2492, "theo": 30.926, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.55, "last_trade_time": "2026-07-08T10:27:14", "percent_change": 0.0, "prev_day_close": 31.125}, {"option": "DRAM270319C00077000", "bid": 6.85, "bid_size": 494.0, "ask": 8.0, "ask_size": 1134.0, "iv": 0.8753, "open_interest": 49.0, "volume": 0.0, "delta": 0.4102, "gamma": 0.011, "vega": 0.1561, "theta": -0.0281, "rho": 0.0854, "theo": 7.2089, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.2, "last_trade_time": "2026-07-14T14:05:50", "percent_change": 0.0, "prev_day_close": 7.99999976158142}, {"option": "DRAM270319P00077000", "bid": 30.9, "bid_size": 332.0, "ask": 32.7, "ask_size": 667.0, "iv": 0.8654, "open_interest": 81.0, "volume": 0.0, "delta": -0.5999, "gamma": 0.0118, "vega": 0.1536, "theta": -0.0254, "rho": -0.2515, "theo": 31.7395, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.9, "last_trade_time": "2026-07-27T12:25:12", "percent_change": 0.0, "prev_day_close": 31.875}, {"option": "DRAM270319C00078000", "bid": 6.3, "bid_size": 254.0, "ask": 7.55, "ask_size": 346.0, "iv": 0.8544, "open_interest": 47.0, "volume": 0.0, "delta": 0.403, "gamma": 0.011, "vega": 0.1555, "theta": -0.028, "rho": 0.0842, "theo": 7.0387, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.5, "last_trade_time": "2026-07-28T11:05:06", "percent_change": 0.0, "prev_day_close": 7.70000004768372}, {"option": "DRAM270319P00078000", "bid": 31.65, "bid_size": 116.0, "ask": 33.5, "ask_size": 238.0, "iv": 0.8628, "open_interest": 1.0, "volume": 0.0, "delta": -0.6076, "gamma": 0.0118, "vega": 0.1526, "theta": -0.0251, "rho": -0.2542, "theo": 32.5585, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 31.46, "last_trade_time": "2026-07-20T10:35:09", "percent_change": 0.0, "prev_day_close": 32.6499996185303}, {"option": "DRAM270319C00079000", "bid": 6.5, "bid_size": 486.0, "ask": 8.4, "ask_size": 1544.0, "iv": 0.8991, "open_interest": 5.0, "volume": 0.0, "delta": 0.3959, "gamma": 0.0109, "vega": 0.1548, "theta": -0.028, "rho": 0.0829, "theo": 6.8734, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.0, "last_trade_time": "2026-07-17T09:39:17", "percent_change": 0.0, "prev_day_close": 7.65000009536743}, {"option": "DRAM270319P00079000", "bid": 32.6, "bid_size": 242.0, "ask": 34.3, "ask_size": 467.0, "iv": 0.8664, "open_interest": 1.0, "volume": 0.0, "delta": -0.6152, "gamma": 0.0117, "vega": 0.1518, "theta": -0.0249, "rho": -0.255, "theo": 33.3825, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.47, "last_trade_time": "2026-07-09T12:34:33", "percent_change": 0.0, "prev_day_close": 33.4749984741211}, {"option": "DRAM270319C00080000", "bid": 6.05, "bid_size": 936.0, "ask": 7.05, "ask_size": 514.0, "iv": 0.8516, "open_interest": 665.0, "volume": 3.0, "delta": 0.389, "gamma": 0.0109, "vega": 0.154, "theta": -0.0278, "rho": 0.0818, "theo": 6.7127, "change": -0.65, "open": 5.55, "high": 6.5, "low": 5.55, "tick": "down", "last_trade_price": 6.45, "last_trade_time": "2026-08-03T13:29:34", "percent_change": -9.15493, "prev_day_close": 7.09999990463257}, {"option": "DRAM270319P00080000", "bid": 33.35, "bid_size": 351.0, "ask": 35.15, "ask_size": 533.0, "iv": 0.8648, "open_interest": 22.0, "volume": 0.0, "delta": -0.6226, "gamma": 0.0117, "vega": 0.1506, "theta": -0.0246, "rho": -0.2572, "theo": 34.2119, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 34.52, "last_trade_time": "2026-07-30T13:44:32", "percent_change": 0.0, "prev_day_close": 34.1499996185303}, {"option": "DRAM270319C00081000", "bid": 5.35, "bid_size": 1474.0, "ask": 6.9, "ask_size": 494.0, "iv": 0.8342, "open_interest": 47.0, "volume": 0.0, "delta": 0.3822, "gamma": 0.0108, "vega": 0.1533, "theta": -0.0277, "rho": 0.0806, "theo": 6.5567, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.15, "last_trade_time": "2026-07-30T11:53:45", "percent_change": 0.0, "prev_day_close": 7.34999990463257}, {"option": "DRAM270319P00081000", "bid": 34.2, "bid_size": 292.0, "ask": 36.0, "ask_size": 523.0, "iv": 0.8661, "open_interest": 21.0, "volume": 0.0, "delta": -0.6299, "gamma": 0.0117, "vega": 0.1497, "theta": -0.0244, "rho": -0.2599, "theo": 35.046, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 23.07, "last_trade_time": "2026-06-18T12:22:37", "percent_change": 0.0, "prev_day_close": 35.125}, {"option": "DRAM270319C00082000", "bid": 6.0, "bid_size": 776.0, "ask": 6.8, "ask_size": 584.0, "iv": 0.8625, "open_interest": 8.0, "volume": 4.0, "delta": 0.3756, "gamma": 0.0108, "vega": 0.1525, "theta": -0.0276, "rho": 0.0794, "theo": 6.405, "change": -1.225, "open": 6.0, "high": 6.0, "low": 6.0, "tick": "down", "last_trade_price": 6.0, "last_trade_time": "2026-08-03T13:19:36", "percent_change": -16.955, "prev_day_close": 7.22500014305115}, {"option": "DRAM270319P00082000", "bid": 35.0, "bid_size": 293.0, "ask": 36.6, "ask_size": 507.0, "iv": 0.8571, "open_interest": 8.0, "volume": 0.0, "delta": -0.6371, "gamma": 0.0116, "vega": 0.1489, "theta": -0.0241, "rho": -0.2627, "theo": 35.8844, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 31.35, "last_trade_time": "2026-07-02T11:49:50", "percent_change": 0.0, "prev_day_close": 35.9500007629394}, {"option": "DRAM270319C00083000", "bid": 5.15, "bid_size": 1439.0, "ask": 6.65, "ask_size": 599.0, "iv": 0.8393, "open_interest": 1.0, "volume": 0.0, "delta": 0.3691, "gamma": 0.0107, "vega": 0.1516, "theta": -0.0275, "rho": 0.0783, "theo": 6.2576, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.99, "last_trade_time": "2026-06-22T12:52:36", "percent_change": 0.0, "prev_day_close": 7.07499980926514}, {"option": "DRAM270319P00083000", "bid": 35.95, "bid_size": 212.0, "ask": 37.65, "ask_size": 385.0, "iv": 0.868, "open_interest": 0.0, "volume": 0.0, "delta": -0.6442, "gamma": 0.0116, "vega": 0.1479, "theta": -0.0239, "rho": -0.2645, "theo": 36.7271, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.7999992370606}, {"option": "DRAM270319C00084000", "bid": 5.0, "bid_size": 1451.0, "ask": 6.45, "ask_size": 523.0, "iv": 0.8374, "open_interest": 15.0, "volume": 0.0, "delta": 0.3627, "gamma": 0.0106, "vega": 0.1507, "theta": -0.0274, "rho": 0.0771, "theo": 6.1143, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 8.75, "last_trade_time": "2026-07-24T09:42:21", "percent_change": 0.0, "prev_day_close": 6.92500019073486}, {"option": "DRAM270319P00084000", "bid": 36.75, "bid_size": 270.0, "ask": 38.5, "ask_size": 520.0, "iv": 0.8668, "open_interest": 1.0, "volume": 0.0, "delta": -0.6511, "gamma": 0.0115, "vega": 0.1464, "theta": -0.0236, "rho": -0.2666, "theo": 37.5749, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.97, "last_trade_time": "2026-07-01T15:57:40", "percent_change": 0.0, "prev_day_close": 37.875}, {"option": "DRAM270319C00085000", "bid": 4.95, "bid_size": 1250.0, "ask": 6.45, "ask_size": 927.0, "iv": 0.8452, "open_interest": 123.0, "volume": 1.0, "delta": 0.3564, "gamma": 0.0106, "vega": 0.1498, "theta": -0.0272, "rho": 0.0759, "theo": 5.9752, "change": -1.375, "open": 5.45, "high": 5.45, "low": 5.45, "tick": "down", "last_trade_price": 5.45, "last_trade_time": "2026-08-03T09:52:09", "percent_change": -20.1465, "prev_day_close": 6.82500004768372}, {"option": "DRAM270319P00085000", "bid": 37.4, "bid_size": 351.0, "ask": 39.35, "ask_size": 418.0, "iv": 0.8601, "open_interest": 0.0, "volume": 0.0, "delta": -0.6579, "gamma": 0.0115, "vega": 0.1452, "theta": -0.0233, "rho": -0.2682, "theo": 38.4271, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.6000003814697}, {"option": "DRAM270319C00086000", "bid": 5.25, "bid_size": 886.0, "ask": 6.25, "ask_size": 625.0, "iv": 0.858, "open_interest": 8.0, "volume": 0.0, "delta": 0.3502, "gamma": 0.0105, "vega": 0.1488, "theta": -0.0271, "rho": 0.0748, "theo": 5.84, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.1, "last_trade_time": "2026-07-02T12:15:16", "percent_change": 0.0, "prev_day_close": 6.64999985694885}, {"option": "DRAM270319P00086000", "bid": 38.4, "bid_size": 243.0, "ask": 40.2, "ask_size": 362.0, "iv": 0.8652, "open_interest": 0.0, "volume": 0.0, "delta": -0.6646, "gamma": 0.0114, "vega": 0.1438, "theta": -0.023, "rho": -0.2691, "theo": 39.2838, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 39.3500003814697}, {"option": "DRAM270319C00087000", "bid": 5.4, "bid_size": 198.0, "ask": 6.1, "ask_size": 586.0, "iv": 0.8672, "open_interest": 3.0, "volume": 0.0, "delta": 0.3442, "gamma": 0.0104, "vega": 0.1479, "theta": -0.0269, "rho": 0.0736, "theo": 5.7086, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 9.76, "last_trade_time": "2026-07-13T10:05:14", "percent_change": 0.0, "prev_day_close": 6.52499985694885}, {"option": "DRAM270319P00087000", "bid": 39.3, "bid_size": 264.0, "ask": 41.05, "ask_size": 382.0, "iv": 0.8665, "open_interest": 0.0, "volume": 0.0, "delta": -0.6712, "gamma": 0.0114, "vega": 0.1429, "theta": -0.0227, "rho": -0.2712, "theo": 40.1443, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 40.1499996185303}, {"option": "DRAM270319C00088000", "bid": 4.95, "bid_size": 963.0, "ask": 6.05, "ask_size": 923.0, "iv": 0.8592, "open_interest": 134.0, "volume": 10.0, "delta": 0.3383, "gamma": 0.0104, "vega": 0.1469, "theta": -0.0268, "rho": 0.0725, "theo": 5.581, "change": -0.53, "open": 5.57, "high": 5.57, "low": 5.57, "tick": "down", "last_trade_price": 5.57, "last_trade_time": "2026-08-03T14:02:49", "percent_change": -8.68852, "prev_day_close": 6.09999990463257}, {"option": "DRAM270319P00088000", "bid": 40.1, "bid_size": 334.0, "ask": 41.9, "ask_size": 445.0, "iv": 0.8641, "open_interest": 0.0, "volume": 0.0, "delta": -0.6776, "gamma": 0.0113, "vega": 0.1414, "theta": -0.0224, "rho": -0.2725, "theo": 41.009, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 41.0250015258789}, {"option": "DRAM270319C00089000", "bid": 4.65, "bid_size": 1165.0, "ask": 5.8, "ask_size": 541.0, "iv": 0.849, "open_interest": 10.0, "volume": 0.0, "delta": 0.3325, "gamma": 0.0103, "vega": 0.1459, "theta": -0.0266, "rho": 0.0714, "theo": 5.4568, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 11.45, "last_trade_time": "2026-07-02T12:19:21", "percent_change": 0.0, "prev_day_close": 6.27499985694885}, {"option": "DRAM270319P00089000", "bid": 40.95, "bid_size": 444.0, "ask": 42.8, "ask_size": 522.0, "iv": 0.8649, "open_interest": 6.0, "volume": 0.0, "delta": -0.684, "gamma": 0.0113, "vega": 0.1403, "theta": -0.0221, "rho": -0.2723, "theo": 41.8773, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 41.74, "last_trade_time": "2026-07-17T10:12:42", "percent_change": 0.0, "prev_day_close": 41.8999996185303}, {"option": "DRAM270319C00090000", "bid": 4.65, "bid_size": 1018.0, "ask": 5.8, "ask_size": 1012.0, "iv": 0.8577, "open_interest": 349.0, "volume": 105.0, "delta": 0.3268, "gamma": 0.0102, "vega": 0.1449, "theta": -0.0264, "rho": 0.0704, "theo": 5.3361, "change": -0.55, "open": 5.0, "high": 5.3, "low": 5.0, "tick": "up", "last_trade_price": 5.3, "last_trade_time": "2026-08-03T15:59:51", "percent_change": -9.40171, "prev_day_close": 5.84999990463257}, {"option": "DRAM270319P00090000", "bid": 41.9, "bid_size": 357.0, "ask": 43.45, "ask_size": 452.0, "iv": 0.86, "open_interest": 0.0, "volume": 0.0, "delta": -0.6903, "gamma": 0.0112, "vega": 0.1386, "theta": -0.0218, "rho": -0.2715, "theo": 42.7497, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 42.7250003814697}, {"option": "DRAM270319C00095000", "bid": 3.9, "bid_size": 1280.0, "ask": 5.75, "ask_size": 1418.0, "iv": 0.8705, "open_interest": 35.0, "volume": 1.0, "delta": 0.3, "gamma": 0.0098, "vega": 0.1398, "theta": -0.0256, "rho": 0.0653, "theo": 4.7799, "change": -1.11, "open": 4.49, "high": 4.49, "low": 4.49, "tick": "down", "last_trade_price": 4.49, "last_trade_time": "2026-08-03T13:29:34", "percent_change": -19.8214, "prev_day_close": 5.60000014305115}, {"option": "DRAM270319P00095000", "bid": 46.5, "bid_size": 145.0, "ask": 47.85, "ask_size": 319.0, "iv": 0.8683, "open_interest": 25.0, "volume": 0.0, "delta": -0.7201, "gamma": 0.0109, "vega": 0.1321, "theta": -0.0203, "rho": -0.2786, "theo": 47.1623, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 49.45, "last_trade_time": "2026-07-28T12:08:05", "percent_change": 0.0, "prev_day_close": 47.4750003814697}, {"option": "DRAM270319C00100000", "bid": 3.8, "bid_size": 806.0, "ask": 4.65, "ask_size": 759.0, "iv": 0.8641, "open_interest": 588.0, "volume": 22.0, "delta": 0.2757, "gamma": 0.0094, "vega": 0.1342, "theta": -0.0247, "rho": 0.0605, "theo": 4.2949, "change": -0.45, "open": 4.06, "high": 4.15, "low": 4.03, "tick": "down", "last_trade_price": 4.05, "last_trade_time": "2026-08-03T13:20:17", "percent_change": -10.0, "prev_day_close": 4.5}, {"option": "DRAM270319P00100000", "bid": 50.65, "bid_size": 257.0, "ask": 52.35, "ask_size": 342.0, "iv": 0.8569, "open_interest": 31.0, "volume": 8.0, "delta": -0.7472, "gamma": 0.0106, "vega": 0.1247, "theta": -0.0187, "rho": -0.2801, "theo": 51.6533, "change": 0.2, "open": 52.1, "high": 52.1, "low": 51.8, "tick": "down", "last_trade_price": 51.8, "last_trade_time": "2026-08-03T12:21:03", "percent_change": 0.387596, "prev_day_close": 51.6000003814697}, {"option": "DRAM270319C00105000", "bid": 3.35, "bid_size": 613.0, "ask": 4.5, "ask_size": 1121.0, "iv": 0.8757, "open_interest": 41.0, "volume": 2.0, "delta": 0.2537, "gamma": 0.009, "vega": 0.1287, "theta": -0.0237, "rho": 0.0562, "theo": 3.8706, "change": -0.54, "open": 3.71, "high": 3.71, "low": 3.71, "tick": "down", "last_trade_price": 3.71, "last_trade_time": "2026-08-03T13:55:36", "percent_change": -12.7059, "prev_day_close": 4.25}, {"option": "DRAM270319P00105000", "bid": 55.4, "bid_size": 119.0, "ask": 56.9, "ask_size": 185.0, "iv": 0.866, "open_interest": 0.0, "volume": 0.0, "delta": -0.7723, "gamma": 0.0103, "vega": 0.1172, "theta": -0.017, "rho": -0.2769, "theo": 56.2133, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 56.1000003814697}, {"option": "DRAM270319C00110000", "bid": 3.1, "bid_size": 743.0, "ask": 3.8, "ask_size": 897.0, "iv": 0.8697, "open_interest": 155.0, "volume": 0.0, "delta": 0.2338, "gamma": 0.0086, "vega": 0.1231, "theta": -0.0228, "rho": 0.0521, "theo": 3.4979, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.2, "last_trade_time": "2026-07-30T14:24:19", "percent_change": 0.0, "prev_day_close": 4.20000004768372}, {"option": "DRAM270319P00110000", "bid": 59.9, "bid_size": 333.0, "ask": 61.7, "ask_size": 403.0, "iv": 0.8708, "open_interest": 10.0, "volume": 0.0, "delta": -0.7954, "gamma": 0.01, "vega": 0.1099, "theta": -0.0154, "rho": -0.2753, "theo": 60.8304, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 49.64, "last_trade_time": "2026-06-29T11:49:09", "percent_change": 0.0, "prev_day_close": 60.7000007629394}, {"option": "DRAM270319C00115000", "bid": 2.8, "bid_size": 643.0, "ask": 3.7, "ask_size": 1496.0, "iv": 0.8827, "open_interest": 177.0, "volume": 0.0, "delta": 0.2158, "gamma": 0.0082, "vega": 0.1176, "theta": -0.0218, "rho": 0.0484, "theo": 3.1701, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 3.65, "last_trade_time": "2026-07-31T13:35:45", "percent_change": 0.0, "prev_day_close": 3.52500009536743}, {"option": "DRAM270319P00115000", "bid": 64.6, "bid_size": 313.0, "ask": 66.5, "ask_size": 416.0, "iv": 0.8809, "open_interest": 0.0, "volume": 0.0, "delta": -0.8165, "gamma": 0.0097, "vega": 0.1021, "theta": -0.0138, "rho": -0.2676, "theo": 65.4987, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 65.5}, {"option": "DRAM270319C00122000", "bid": 2.56, "bid_size": 207.0, "ask": 2.85, "ask_size": 1.0, "iv": 0.8727, "open_interest": 2132.0, "volume": 304.0, "delta": 0.1933, "gamma": 0.0076, "vega": 0.1102, "theta": -0.0205, "rho": 0.0437, "theo": 2.7742, "change": -0.24, "open": 2.5, "high": 2.8, "low": 2.38, "tick": "up", "last_trade_price": 2.8, "last_trade_time": "2026-08-03T15:57:02", "percent_change": -7.89474, "prev_day_close": 3.03999996185303}, {"option": "DRAM270319P00122000", "bid": 71.3, "bid_size": 215.0, "ask": 73.1, "ask_size": 367.0, "iv": 0.8889, "open_interest": 6.0, "volume": 0.0, "delta": -0.8436, "gamma": 0.0093, "vega": 0.0905, "theta": -0.0115, "rho": -0.2524, "theo": 72.1108, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 73.0, "last_trade_time": "2026-07-27T10:34:40", "percent_change": 0.0, "prev_day_close": 71.9499969482422}, {"option": "DRAM270416C00025000", "bid": 27.3, "bid_size": 71.0, "ask": 31.05, "ask_size": 75.0, "iv": 0.9562, "open_interest": 0.0, "volume": 0.0, "delta": 0.908, "gamma": 0.0041, "vega": 0.0682, "theta": -0.007, "rho": 0.1204, "theo": 28.8198, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 29.375}, {"option": "DRAM270416P00025000", "bid": 1.62, "bid_size": 535.0, "ask": 2.64, "ask_size": 693.0, "iv": 0.8918, "open_interest": 0.0, "volume": 0.0, "delta": -0.0877, "gamma": 0.0041, "vega": 0.0683, "theta": -0.0117, "rho": -0.0426, "theo": 2.2192, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 1.94499999284744}, {"option": "DRAM270416C00030000", "bid": 24.1, "bid_size": 365.0, "ask": 27.35, "ask_size": 358.0, "iv": 0.9279, "open_interest": 24.0, "volume": 0.0, "delta": 0.865, "gamma": 0.0055, "vega": 0.0907, "theta": -0.0113, "rho": 0.1307, "theo": 25.3614, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.0, "last_trade_time": "2026-07-30T15:52:02", "percent_change": 0.0, "prev_day_close": 25.8499994277954}, {"option": "DRAM270416P00030000", "bid": 3.2, "bid_size": 386.0, "ask": 3.95, "ask_size": 1049.0, "iv": 0.8833, "open_interest": 78.0, "volume": 0.0, "delta": -0.1311, "gamma": 0.0056, "vega": 0.0911, "theta": -0.0153, "rho": -0.0643, "theo": 3.6185, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.33, "last_trade_time": "2026-07-28T09:48:18", "percent_change": 0.0, "prev_day_close": 3.625}, {"option": "DRAM270416C00035000", "bid": 21.05, "bid_size": 272.0, "ask": 24.2, "ask_size": 293.0, "iv": 0.9065, "open_interest": 15.0, "volume": 0.0, "delta": 0.817, "gamma": 0.0069, "vega": 0.1116, "theta": -0.0152, "rho": 0.1357, "theo": 22.2909, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.9, "last_trade_time": "2026-07-21T12:59:42", "percent_change": 0.0, "prev_day_close": 22.7749996185303}, {"option": "DRAM270416P00035000", "bid": 4.9, "bid_size": 517.0, "ask": 5.75, "ask_size": 1268.0, "iv": 0.869, "open_interest": 176.0, "volume": 1.0, "delta": -0.1798, "gamma": 0.007, "vega": 0.1123, "theta": -0.0185, "rho": -0.089, "theo": 5.4106, "change": 0.75, "open": 6.0, "high": 6.0, "low": 6.0, "tick": "up", "last_trade_price": 6.0, "last_trade_time": "2026-08-03T09:42:59", "percent_change": 14.2857, "prev_day_close": 5.25}, {"option": "DRAM270416C00036000", "bid": 20.4, "bid_size": 476.0, "ask": 23.05, "ask_size": 308.0, "iv": 0.875, "open_interest": 0.0, "volume": 0.0, "delta": 0.807, "gamma": 0.0072, "vega": 0.1154, "theta": -0.016, "rho": 0.1362, "theo": 21.7222, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.1750001907349}, {"option": "DRAM270416P00036000", "bid": 5.2, "bid_size": 670.0, "ask": 6.25, "ask_size": 1137.0, "iv": 0.867, "open_interest": 2.0, "volume": 0.0, "delta": -0.19, "gamma": 0.0073, "vega": 0.1162, "theta": -0.0191, "rho": -0.094, "theo": 5.8154, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.08, "last_trade_time": "2026-07-27T11:13:17", "percent_change": 0.0, "prev_day_close": 5.97500014305115}, {"option": "DRAM270416C00037000", "bid": 19.6, "bid_size": 121.0, "ask": 22.6, "ask_size": 30.0, "iv": 0.8673, "open_interest": 0.0, "volume": 0.0, "delta": 0.7969, "gamma": 0.0074, "vega": 0.1192, "theta": -0.0167, "rho": 0.1366, "theo": 21.1684, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.6750001907349}, {"option": "DRAM270416P00037000", "bid": 5.6, "bid_size": 177.0, "ask": 7.5, "ask_size": 1341.0, "iv": 0.8993, "open_interest": 1.0, "volume": 0.0, "delta": -0.2003, "gamma": 0.0076, "vega": 0.1199, "theta": -0.0197, "rho": -0.0994, "theo": 6.2352, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.38, "last_trade_time": "2026-07-17T13:22:26", "percent_change": 0.0, "prev_day_close": 6.27499985694885}, {"option": "DRAM270416C00038000", "bid": 18.8, "bid_size": 139.0, "ask": 22.25, "ask_size": 30.0, "iv": 0.863, "open_interest": 2.0, "volume": 0.0, "delta": 0.7868, "gamma": 0.0076, "vega": 0.1227, "theta": -0.0174, "rho": 0.1368, "theo": 20.6291, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 39.8, "last_trade_time": "2026-06-23T15:59:42", "percent_change": 0.0, "prev_day_close": 21.1500005722046}, {"option": "DRAM270416P00038000", "bid": 5.6, "bid_size": 745.0, "ask": 7.9, "ask_size": 1237.0, "iv": 0.878, "open_interest": 0.0, "volume": 0.0, "delta": -0.2107, "gamma": 0.0078, "vega": 0.1235, "theta": -0.0202, "rho": -0.1045, "theo": 6.6695, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 6.625}, {"option": "DRAM270416C00039000", "bid": 18.3, "bid_size": 154.0, "ask": 21.75, "ask_size": 31.0, "iv": 0.8638, "open_interest": 20.0, "volume": 0.0, "delta": 0.7765, "gamma": 0.0079, "vega": 0.1262, "theta": -0.018, "rho": 0.1369, "theo": 20.1038, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.7, "last_trade_time": "2026-07-09T14:28:49", "percent_change": 0.0, "prev_day_close": 20.6000003814697}, {"option": "DRAM270416P00039000", "bid": 6.2, "bid_size": 518.0, "ask": 8.35, "ask_size": 1345.0, "iv": 0.8824, "open_interest": 27.0, "volume": 0.0, "delta": -0.2211, "gamma": 0.008, "vega": 0.127, "theta": -0.0207, "rho": -0.1096, "theo": 7.1182, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.75, "last_trade_time": "2026-07-09T15:50:00", "percent_change": 0.0, "prev_day_close": 7.07499980926514}, {"option": "DRAM270416C00040000", "bid": 18.1, "bid_size": 152.0, "ask": 20.95, "ask_size": 30.0, "iv": 0.8635, "open_interest": 10.0, "volume": 0.0, "delta": 0.7662, "gamma": 0.0081, "vega": 0.1295, "theta": -0.0186, "rho": 0.1368, "theo": 19.5926, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.0, "last_trade_time": "2026-07-30T15:58:40", "percent_change": 0.0, "prev_day_close": 19.9499998092651}, {"option": "DRAM270416P00040000", "bid": 6.55, "bid_size": 584.0, "ask": 8.8, "ask_size": 1042.0, "iv": 0.8759, "open_interest": 6.0, "volume": 0.0, "delta": -0.2317, "gamma": 0.0083, "vega": 0.1303, "theta": -0.0212, "rho": -0.1153, "theo": 7.5813, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 7.79, "last_trade_time": "2026-07-16T15:53:49", "percent_change": 0.0, "prev_day_close": 7.65000009536743}, {"option": "DRAM270416C00041000", "bid": 17.2, "bid_size": 176.0, "ask": 21.1, "ask_size": 164.0, "iv": 0.8717, "open_interest": 0.0, "volume": 0.0, "delta": 0.7559, "gamma": 0.0083, "vega": 0.1327, "theta": -0.0192, "rho": 0.1366, "theo": 19.0953, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.5749998092651}, {"option": "DRAM270416P00041000", "bid": 7.25, "bid_size": 202.0, "ask": 9.3, "ask_size": 1001.0, "iv": 0.8837, "open_interest": 0.0, "volume": 0.0, "delta": -0.2422, "gamma": 0.0085, "vega": 0.1336, "theta": -0.0217, "rho": -0.1204, "theo": 8.0589, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.12499976158142}, {"option": "DRAM270416C00042000", "bid": 16.65, "bid_size": 198.0, "ask": 20.7, "ask_size": 219.0, "iv": 0.8711, "open_interest": 2.0, "volume": 0.0, "delta": 0.7456, "gamma": 0.0085, "vega": 0.1358, "theta": -0.0198, "rho": 0.1364, "theo": 18.6117, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.55, "last_trade_time": "2026-07-17T12:45:04", "percent_change": 0.0, "prev_day_close": 19.0749998092651}, {"option": "DRAM270416P00042000", "bid": 7.55, "bid_size": 545.0, "ask": 9.75, "ask_size": 1149.0, "iv": 0.8737, "open_interest": 1.0, "volume": 0.0, "delta": -0.2528, "gamma": 0.0087, "vega": 0.1366, "theta": -0.0221, "rho": -0.1261, "theo": 8.5504, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 6.9, "last_trade_time": "2026-06-23T10:10:18", "percent_change": 0.0, "prev_day_close": 8.87499976158142}, {"option": "DRAM270416C00043000", "bid": 17.25, "bid_size": 458.0, "ask": 19.3, "ask_size": 496.0, "iv": 0.875, "open_interest": 0.0, "volume": 0.0, "delta": 0.7352, "gamma": 0.0087, "vega": 0.1386, "theta": -0.0204, "rho": 0.136, "theo": 18.1412, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 18.6000003814697}, {"option": "DRAM270416P00043000", "bid": 8.45, "bid_size": 446.0, "ask": 10.15, "ask_size": 1656.0, "iv": 0.8829, "open_interest": 2.0, "volume": 0.0, "delta": -0.2634, "gamma": 0.0089, "vega": 0.1394, "theta": -0.0225, "rho": -0.1312, "theo": 9.0551, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.75, "last_trade_time": "2026-07-30T09:59:46", "percent_change": 0.0, "prev_day_close": 9.47499990463257}, {"option": "DRAM270416C00044000", "bid": 17.15, "bid_size": 378.0, "ask": 19.45, "ask_size": 644.0, "iv": 0.9081, "open_interest": 2.0, "volume": 0.0, "delta": 0.7249, "gamma": 0.0089, "vega": 0.1414, "theta": -0.0209, "rho": 0.1356, "theo": 17.6836, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.8, "last_trade_time": "2026-07-27T14:08:57", "percent_change": 0.0, "prev_day_close": 18.2249994277954}, {"option": "DRAM270416P00044000", "bid": 8.7, "bid_size": 1166.0, "ask": 10.75, "ask_size": 1642.0, "iv": 0.8751, "open_interest": 0.0, "volume": 50.0, "delta": -0.274, "gamma": 0.0091, "vega": 0.1422, "theta": -0.0229, "rho": -0.1368, "theo": 9.5731, "change": 0.47, "open": 10.32, "high": 10.32, "low": 10.32, "tick": "up", "last_trade_price": 10.32, "last_trade_time": "2026-08-03T09:45:02", "percent_change": 4.77157, "prev_day_close": 9.84999990463257}, {"option": "DRAM270416C00045000", "bid": 15.7, "bid_size": 623.0, "ask": 18.45, "ask_size": 636.0, "iv": 0.8522, "open_interest": 1.0, "volume": 2.0, "delta": 0.7146, "gamma": 0.009, "vega": 0.144, "theta": -0.0214, "rho": 0.135, "theo": 17.2386, "change": -0.695, "open": 16.3, "high": 17.18, "low": 16.3, "tick": "up", "last_trade_price": 17.18, "last_trade_time": "2026-08-03T15:27:56", "percent_change": -3.88811, "prev_day_close": 17.875}, {"option": "DRAM270416P00045000", "bid": 9.5, "bid_size": 296.0, "ask": 11.15, "ask_size": 1627.0, "iv": 0.8788, "open_interest": 13.0, "volume": 1.0, "delta": -0.2846, "gamma": 0.0093, "vega": 0.1448, "theta": -0.0233, "rho": -0.1416, "theo": 10.1039, "change": 0.08, "open": 10.18, "high": 10.18, "low": 10.18, "tick": "down", "last_trade_price": 10.18, "last_trade_time": "2026-08-03T11:45:10", "percent_change": 0.792075, "prev_day_close": 10.1000003814697}, {"option": "DRAM270416C00046000", "bid": 15.45, "bid_size": 983.0, "ask": 18.1, "ask_size": 649.0, "iv": 0.8607, "open_interest": 2.0, "volume": 0.0, "delta": 0.7043, "gamma": 0.0092, "vega": 0.1464, "theta": -0.0218, "rho": 0.1344, "theo": 16.806, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.5, "last_trade_time": "2026-07-29T15:49:27", "percent_change": 0.0, "prev_day_close": 17.2249994277954}, {"option": "DRAM270416P00046000", "bid": 10.0, "bid_size": 645.0, "ask": 11.7, "ask_size": 1548.0, "iv": 0.8765, "open_interest": 1.0, "volume": 0.0, "delta": -0.2952, "gamma": 0.0095, "vega": 0.1473, "theta": -0.0236, "rho": -0.1475, "theo": 10.6476, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.75, "last_trade_time": "2026-07-08T11:34:45", "percent_change": 0.0, "prev_day_close": 10.6999998092651}, {"option": "DRAM270416C00047000", "bid": 14.45, "bid_size": 1076.0, "ask": 18.1, "ask_size": 664.0, "iv": 0.8546, "open_interest": 14.0, "volume": 0.0, "delta": 0.6941, "gamma": 0.0094, "vega": 0.1488, "theta": -0.0223, "rho": 0.1336, "theo": 16.3858, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.54, "last_trade_time": "2026-07-30T10:56:51", "percent_change": 0.0, "prev_day_close": 16.7250003814697}, {"option": "DRAM270416P00047000", "bid": 10.4, "bid_size": 875.0, "ask": 12.25, "ask_size": 1527.0, "iv": 0.8701, "open_interest": 25.0, "volume": 0.0, "delta": -0.3057, "gamma": 0.0096, "vega": 0.1496, "theta": -0.0239, "rho": -0.1526, "theo": 11.2043, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 7.4, "last_trade_time": "2026-06-25T11:13:39", "percent_change": 0.0, "prev_day_close": 11.2750000953674}, {"option": "DRAM270416C00048000", "bid": 14.0, "bid_size": 1024.0, "ask": 18.05, "ask_size": 661.0, "iv": 0.8646, "open_interest": 7.0, "volume": 3.0, "delta": 0.6839, "gamma": 0.0095, "vega": 0.151, "theta": -0.0227, "rho": 0.1328, "theo": 15.9774, "change": -0.5, "open": 14.85, "high": 15.85, "low": 14.54, "tick": "up", "last_trade_price": 15.85, "last_trade_time": "2026-08-03T13:21:46", "percent_change": -3.05811, "prev_day_close": 16.3500003814697}, {"option": "DRAM270416P00048000", "bid": 11.0, "bid_size": 803.0, "ask": 12.6, "ask_size": 1468.0, "iv": 0.8632, "open_interest": 3.0, "volume": 1.0, "delta": -0.3162, "gamma": 0.0098, "vega": 0.1517, "theta": -0.0242, "rho": -0.1581, "theo": 11.7729, "change": 0.835, "open": 12.56, "high": 12.56, "low": 12.56, "tick": "up", "last_trade_price": 12.56, "last_trade_time": "2026-08-03T10:08:54", "percent_change": 7.12154, "prev_day_close": 11.7249999046326}, {"option": "DRAM270416C00049000", "bid": 14.65, "bid_size": 672.0, "ask": 16.9, "ask_size": 673.0, "iv": 0.8735, "open_interest": 1.0, "volume": 0.0, "delta": 0.6738, "gamma": 0.0096, "vega": 0.153, "theta": -0.0231, "rho": 0.132, "theo": 15.5805, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.0, "last_trade_time": "2026-07-30T10:05:24", "percent_change": 0.0, "prev_day_close": 15.9250001907349}, {"option": "DRAM270416P00049000", "bid": 11.5, "bid_size": 883.0, "ask": 13.4, "ask_size": 1527.0, "iv": 0.8671, "open_interest": 0.0, "volume": 0.0, "delta": -0.3266, "gamma": 0.01, "vega": 0.1538, "theta": -0.0245, "rho": -0.1631, "theo": 12.3531, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 12.7000002861023}, {"option": "DRAM270416C00050000", "bid": 14.55, "bid_size": 680.0, "ask": 16.6, "ask_size": 802.0, "iv": 0.8849, "open_interest": 57.0, "volume": 4.0, "delta": 0.6637, "gamma": 0.0098, "vega": 0.1549, "theta": -0.0235, "rho": 0.1312, "theo": 15.1947, "change": -0.6, "open": 14.03, "high": 15.1, "low": 14.03, "tick": "up", "last_trade_price": 15.1, "last_trade_time": "2026-08-03T12:45:27", "percent_change": -3.82165, "prev_day_close": 15.6999998092651}, {"option": "DRAM270416P00050000", "bid": 11.8, "bid_size": 1452.0, "ask": 13.55, "ask_size": 1197.0, "iv": 0.843, "open_interest": 13.0, "volume": 2.0, "delta": -0.337, "gamma": 0.0101, "vega": 0.1556, "theta": -0.0247, "rho": -0.1684, "theo": 12.9449, "change": 0.1, "open": 13.15, "high": 13.15, "low": 13.15, "tick": "no_change", "last_trade_price": 13.15, "last_trade_time": "2026-08-03T12:45:27", "percent_change": 0.766282, "prev_day_close": 13.0500001907349}, {"option": "DRAM270416C00051000", "bid": 13.65, "bid_size": 877.0, "ask": 16.0, "ask_size": 670.0, "iv": 0.8602, "open_interest": 4.0, "volume": 0.0, "delta": 0.6537, "gamma": 0.0099, "vega": 0.1567, "theta": -0.0238, "rho": 0.1302, "theo": 14.8197, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.2, "last_trade_time": "2026-07-29T11:03:47", "percent_change": 0.0, "prev_day_close": 15.3999996185303}, {"option": "DRAM270416P00051000", "bid": 12.35, "bid_size": 1494.0, "ask": 14.55, "ask_size": 1530.0, "iv": 0.8536, "open_interest": 12.0, "volume": 0.0, "delta": -0.3473, "gamma": 0.0102, "vega": 0.1574, "theta": -0.025, "rho": -0.1732, "theo": 13.5479, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.8, "last_trade_time": "2026-07-28T10:16:15", "percent_change": 0.0, "prev_day_close": 13.4749999046326}, {"option": "DRAM270416C00052000", "bid": 13.15, "bid_size": 946.0, "ask": 15.85, "ask_size": 666.0, "iv": 0.8622, "open_interest": 27.0, "volume": 4.0, "delta": 0.6438, "gamma": 0.01, "vega": 0.1583, "theta": -0.0242, "rho": 0.1292, "theo": 14.4555, "change": 0.05, "open": 13.4, "high": 15.0, "low": 13.4, "tick": "up", "last_trade_price": 15.0, "last_trade_time": "2026-08-03T14:50:22", "percent_change": 0.334449, "prev_day_close": 14.9499998092651}, {"option": "DRAM270416P00052000", "bid": 12.65, "bid_size": 1395.0, "ask": 15.15, "ask_size": 1401.0, "iv": 0.843, "open_interest": 84.0, "volume": 0.0, "delta": -0.3576, "gamma": 0.0104, "vega": 0.159, "theta": -0.0252, "rho": -0.1789, "theo": 14.162, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 12.15, "last_trade_time": "2026-07-14T10:53:28", "percent_change": 0.0, "prev_day_close": 14.0250000953674}, {"option": "DRAM270416C00053000", "bid": 12.7, "bid_size": 1100.0, "ask": 14.85, "ask_size": 315.0, "iv": 0.8386, "open_interest": 44.0, "volume": 0.0, "delta": 0.634, "gamma": 0.0101, "vega": 0.1598, "theta": -0.0245, "rho": 0.1281, "theo": 14.1017, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.48, "last_trade_time": "2026-07-31T11:23:32", "percent_change": 0.0, "prev_day_close": 14.4500002861023}, {"option": "DRAM270416P00053000", "bid": 14.05, "bid_size": 416.0, "ask": 15.8, "ask_size": 1347.0, "iv": 0.8676, "open_interest": 0.0, "volume": 0.0, "delta": -0.3678, "gamma": 0.0105, "vega": 0.1604, "theta": -0.0253, "rho": -0.1834, "theo": 14.787, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.6749997138977}, {"option": "DRAM270416C00054000", "bid": 12.35, "bid_size": 407.0, "ask": 15.5, "ask_size": 447.0, "iv": 0.8691, "open_interest": 13.0, "volume": 0.0, "delta": 0.6243, "gamma": 0.0102, "vega": 0.1612, "theta": -0.0248, "rho": 0.127, "theo": 13.7581, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.37, "last_trade_time": "2026-07-24T15:39:08", "percent_change": 0.0, "prev_day_close": 14.125}, {"option": "DRAM270416P00054000", "bid": 13.8, "bid_size": 738.0, "ask": 16.6, "ask_size": 676.0, "iv": 0.845, "open_interest": 10.0, "volume": 0.0, "delta": -0.3778, "gamma": 0.0106, "vega": 0.1618, "theta": -0.0255, "rho": -0.1888, "theo": 15.4227, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.42, "last_trade_time": "2026-07-28T15:03:16", "percent_change": 0.0, "prev_day_close": 15.3249998092651}, {"option": "DRAM270416C00055000", "bid": 12.3, "bid_size": 289.0, "ask": 14.8, "ask_size": 430.0, "iv": 0.8662, "open_interest": 27.0, "volume": 0.0, "delta": 0.6147, "gamma": 0.0103, "vega": 0.1625, "theta": -0.025, "rho": 0.1259, "theo": 13.4244, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.65, "last_trade_time": "2026-07-30T15:06:11", "percent_change": 0.0, "prev_day_close": 13.8999996185303}, {"option": "DRAM270416P00055000", "bid": 15.2, "bid_size": 235.0, "ask": 17.2, "ask_size": 670.0, "iv": 0.8665, "open_interest": 36.0, "volume": 0.0, "delta": -0.3878, "gamma": 0.0107, "vega": 0.163, "theta": -0.0256, "rho": -0.1936, "theo": 16.0681, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.61, "last_trade_time": "2026-07-27T13:11:50", "percent_change": 0.0, "prev_day_close": 16.375}, {"option": "DRAM270416C00056000", "bid": 11.55, "bid_size": 1135.0, "ask": 14.6, "ask_size": 741.0, "iv": 0.8567, "open_interest": 12.0, "volume": 0.0, "delta": 0.6051, "gamma": 0.0103, "vega": 0.1637, "theta": -0.0253, "rho": 0.1248, "theo": 13.1001, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.9, "last_trade_time": "2026-07-16T11:12:45", "percent_change": 0.0, "prev_day_close": 13.5250000953674}, {"option": "DRAM270416P00056000", "bid": 14.95, "bid_size": 1275.0, "ask": 17.7, "ask_size": 1352.0, "iv": 0.834, "open_interest": 1.0, "volume": 0.0, "delta": -0.3977, "gamma": 0.0108, "vega": 0.1641, "theta": -0.0257, "rho": -0.1982, "theo": 16.7235, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.48, "last_trade_time": "2026-07-06T09:41:30", "percent_change": 0.0, "prev_day_close": 16.9750003814697}, {"option": "DRAM270416C00057000", "bid": 12.05, "bid_size": 731.0, "ask": 14.3, "ask_size": 1391.0, "iv": 0.8817, "open_interest": 23.0, "volume": 5.0, "delta": 0.5957, "gamma": 0.0104, "vega": 0.1647, "theta": -0.0255, "rho": 0.1237, "theo": 12.785, "change": -1.025, "open": 11.47, "high": 12.25, "low": 11.47, "tick": "up", "last_trade_price": 12.25, "last_trade_time": "2026-08-03T12:07:13", "percent_change": -7.72128, "prev_day_close": 13.2750000953674}, {"option": "DRAM270416P00057000", "bid": 16.6, "bid_size": 137.0, "ask": 18.4, "ask_size": 617.0, "iv": 0.8648, "open_interest": 11.0, "volume": 0.0, "delta": -0.4076, "gamma": 0.0108, "vega": 0.1651, "theta": -0.0258, "rho": -0.2031, "theo": 17.3884, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.6, "last_trade_time": "2026-07-29T14:47:57", "percent_change": 0.0, "prev_day_close": 17.4249992370605}, {"option": "DRAM270416C00058000", "bid": 11.0, "bid_size": 1200.0, "ask": 13.75, "ask_size": 1351.0, "iv": 0.8516, "open_interest": 9.0, "volume": 0.0, "delta": 0.5864, "gamma": 0.0105, "vega": 0.1657, "theta": -0.0257, "rho": 0.1225, "theo": 12.4788, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.2, "last_trade_time": "2026-07-31T15:20:39", "percent_change": 0.0, "prev_day_close": 12.6749997138977}, {"option": "DRAM270416P00058000", "bid": 17.25, "bid_size": 75.0, "ask": 19.05, "ask_size": 543.0, "iv": 0.8631, "open_interest": 36.0, "volume": 0.0, "delta": -0.4173, "gamma": 0.0109, "vega": 0.1659, "theta": -0.0259, "rho": -0.2073, "theo": 18.0627, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.84, "last_trade_time": "2026-07-29T13:39:53", "percent_change": 0.0, "prev_day_close": 17.9499998092651}, {"option": "DRAM270416C00059000", "bid": 10.7, "bid_size": 1235.0, "ask": 13.75, "ask_size": 1409.0, "iv": 0.8604, "open_interest": 9.0, "volume": 0.0, "delta": 0.5772, "gamma": 0.0105, "vega": 0.1665, "theta": -0.0259, "rho": 0.1212, "theo": 12.1814, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.5, "last_trade_time": "2026-07-21T13:53:39", "percent_change": 0.0, "prev_day_close": 12.6500000953674}, {"option": "DRAM270416P00059000", "bid": 17.8, "bid_size": 297.0, "ask": 19.75, "ask_size": 536.0, "iv": 0.8595, "open_interest": 20.0, "volume": 0.0, "delta": -0.4269, "gamma": 0.011, "vega": 0.1666, "theta": -0.026, "rho": -0.2124, "theo": 18.7461, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.4, "last_trade_time": "2026-07-16T11:06:11", "percent_change": 0.0, "prev_day_close": 18.625}, {"option": "DRAM270416C00060000", "bid": 9.95, "bid_size": 1300.0, "ask": 13.3, "ask_size": 1392.0, "iv": 0.8417, "open_interest": 124.0, "volume": 23.0, "delta": 0.5682, "gamma": 0.0106, "vega": 0.1672, "theta": -0.0261, "rho": 0.1199, "theo": 11.8925, "change": -0.49, "open": 11.65, "high": 11.91, "low": 11.65, "tick": "no_change", "last_trade_price": 11.91, "last_trade_time": "2026-08-03T13:45:36", "percent_change": -3.95161, "prev_day_close": 12.3999996185303}, {"option": "DRAM270416P00060000", "bid": 18.6, "bid_size": 69.0, "ask": 19.95, "ask_size": 345.0, "iv": 0.8479, "open_interest": 61.0, "volume": 0.0, "delta": -0.4364, "gamma": 0.0111, "vega": 0.1672, "theta": -0.026, "rho": -0.2168, "theo": 19.4384, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.49, "last_trade_time": "2026-07-29T10:23:50", "percent_change": 0.0, "prev_day_close": 19.5500001907349}, {"option": "DRAM270416C00061000", "bid": 10.1, "bid_size": 1249.0, "ask": 13.3, "ask_size": 1392.0, "iv": 0.8628, "open_interest": 23.0, "volume": 0.0, "delta": 0.5592, "gamma": 0.0106, "vega": 0.1678, "theta": -0.0262, "rho": 0.1186, "theo": 11.6119, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.5, "last_trade_time": "2026-07-31T09:37:54", "percent_change": 0.0, "prev_day_close": 12.2999997138977}, {"option": "DRAM270416P00061000", "bid": 18.55, "bid_size": 526.0, "ask": 21.15, "ask_size": 568.0, "iv": 0.8404, "open_interest": 2.0, "volume": 0.0, "delta": -0.4457, "gamma": 0.0111, "vega": 0.1677, "theta": -0.026, "rho": -0.2215, "theo": 20.1398, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.08, "last_trade_time": "2026-07-02T11:25:20", "percent_change": 0.0, "prev_day_close": 20.3249998092651}, {"option": "DRAM270416C00062000", "bid": 10.0, "bid_size": 1213.0, "ask": 12.9, "ask_size": 1399.0, "iv": 0.8641, "open_interest": 23.0, "volume": 0.0, "delta": 0.5504, "gamma": 0.0106, "vega": 0.1684, "theta": -0.0263, "rho": 0.1174, "theo": 11.3395, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 11.85, "last_trade_time": "2026-07-31T14:27:08", "percent_change": 0.0, "prev_day_close": 11.9500002861023}, {"option": "DRAM270416P00062000", "bid": 19.95, "bid_size": 90.0, "ask": 22.3, "ask_size": 298.0, "iv": 0.874, "open_interest": 0.0, "volume": 0.0, "delta": -0.455, "gamma": 0.0112, "vega": 0.1682, "theta": -0.0261, "rho": -0.2257, "theo": 20.849, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.1749992370605}, {"option": "DRAM270416C00063000", "bid": 9.2, "bid_size": 804.0, "ask": 12.35, "ask_size": 832.0, "iv": 0.8398, "open_interest": 19.0, "volume": 0.0, "delta": 0.5417, "gamma": 0.0107, "vega": 0.1688, "theta": -0.0265, "rho": 0.1161, "theo": 11.0747, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.58, "last_trade_time": "2026-07-30T14:01:06", "percent_change": 0.0, "prev_day_close": 11.6999998092651}, {"option": "DRAM270416P00063000", "bid": 20.05, "bid_size": 153.0, "ask": 22.65, "ask_size": 192.0, "iv": 0.8448, "open_interest": 25.0, "volume": 0.0, "delta": -0.4641, "gamma": 0.0112, "vega": 0.1685, "theta": -0.026, "rho": -0.23, "theo": 21.5663, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 21.35, "last_trade_time": "2026-07-30T09:30:02", "percent_change": 0.0, "prev_day_close": 21.7749996185303}, {"option": "DRAM270416C00064000", "bid": 10.05, "bid_size": 211.0, "ask": 12.9, "ask_size": 1297.0, "iv": 0.8965, "open_interest": 24.0, "volume": 0.0, "delta": 0.5331, "gamma": 0.0107, "vega": 0.1692, "theta": -0.0266, "rho": 0.1149, "theo": 10.8174, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.2, "last_trade_time": "2026-07-27T15:02:10", "percent_change": 0.0, "prev_day_close": 11.2999997138977}, {"option": "DRAM270416P00064000", "bid": 20.5, "bid_size": 227.0, "ask": 23.65, "ask_size": 297.0, "iv": 0.8448, "open_interest": 11.0, "volume": 0.0, "delta": -0.4732, "gamma": 0.0113, "vega": 0.1688, "theta": -0.026, "rho": -0.2338, "theo": 22.2915, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.85, "last_trade_time": "2026-06-16T10:34:52", "percent_change": 0.0, "prev_day_close": 22.3000001907349}, {"option": "DRAM270416C00065000", "bid": 9.1, "bid_size": 1308.0, "ask": 12.05, "ask_size": 1434.0, "iv": 0.8581, "open_interest": 68.0, "volume": 0.0, "delta": 0.5246, "gamma": 0.0107, "vega": 0.1695, "theta": -0.0266, "rho": 0.1136, "theo": 10.5672, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 11.15, "last_trade_time": "2026-07-31T15:23:10", "percent_change": 0.0, "prev_day_close": 10.8250002861023}, {"option": "DRAM270416P00065000", "bid": 22.1, "bid_size": 280.0, "ask": 24.0, "ask_size": 538.0, "iv": 0.8592, "open_interest": 13.0, "volume": 0.0, "delta": -0.4821, "gamma": 0.0113, "vega": 0.169, "theta": -0.026, "rho": -0.2373, "theo": 23.0243, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.49, "last_trade_time": "2026-07-20T09:30:01", "percent_change": 0.0, "prev_day_close": 22.9250001907349}, {"option": "DRAM270416C00066000", "bid": 9.1, "bid_size": 1261.0, "ask": 11.7, "ask_size": 1366.0, "iv": 0.8622, "open_interest": 22.0, "volume": 2.0, "delta": 0.5163, "gamma": 0.0107, "vega": 0.1697, "theta": -0.0267, "rho": 0.1123, "theo": 10.3241, "change": -0.6, "open": 9.8, "high": 10.2, "low": 9.8, "tick": "up", "last_trade_price": 10.2, "last_trade_time": "2026-08-03T10:51:34", "percent_change": -5.55556, "prev_day_close": 10.8000001907349}, {"option": "DRAM270416P00066000", "bid": 22.75, "bid_size": 298.0, "ask": 24.75, "ask_size": 537.0, "iv": 0.8569, "open_interest": 1.0, "volume": 0.0, "delta": -0.4909, "gamma": 0.0113, "vega": 0.169, "theta": -0.026, "rho": -0.2414, "theo": 23.7646, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.24, "last_trade_time": "2026-06-29T11:05:06", "percent_change": 0.0, "prev_day_close": 23.6750001907349}, {"option": "DRAM270416C00067000", "bid": 8.65, "bid_size": 1332.0, "ask": 11.55, "ask_size": 1431.0, "iv": 0.8586, "open_interest": 12.0, "volume": 0.0, "delta": 0.508, "gamma": 0.0107, "vega": 0.1698, "theta": -0.0268, "rho": 0.111, "theo": 10.0879, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.6, "last_trade_time": "2026-07-30T10:07:49", "percent_change": 0.0, "prev_day_close": 10.6499996185303}, {"option": "DRAM270416P00067000", "bid": 23.65, "bid_size": 217.0, "ask": 25.5, "ask_size": 469.0, "iv": 0.8616, "open_interest": 0.0, "volume": 0.0, "delta": -0.4996, "gamma": 0.0114, "vega": 0.1689, "theta": -0.0259, "rho": -0.2455, "theo": 24.5121, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 24.4000005722046}, {"option": "DRAM270416C00068000", "bid": 8.45, "bid_size": 780.0, "ask": 11.4, "ask_size": 1268.0, "iv": 0.8619, "open_interest": 11.0, "volume": 0.0, "delta": 0.5, "gamma": 0.0107, "vega": 0.1698, "theta": -0.0268, "rho": 0.1096, "theo": 9.8583, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.5, "last_trade_time": "2026-07-15T10:45:27", "percent_change": 0.0, "prev_day_close": 10.4500002861023}, {"option": "DRAM270416P00068000", "bid": 23.15, "bid_size": 250.0, "ask": 26.9, "ask_size": 280.0, "iv": 0.8436, "open_interest": 1.0, "volume": 0.0, "delta": -0.5082, "gamma": 0.0114, "vega": 0.1688, "theta": -0.0258, "rho": -0.2488, "theo": 25.2665, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.9, "last_trade_time": "2026-06-26T09:49:03", "percent_change": 0.0, "prev_day_close": 25.1749992370605}, {"option": "DRAM270416C00069000", "bid": 8.25, "bid_size": 763.0, "ask": 10.95, "ask_size": 970.0, "iv": 0.856, "open_interest": 16.0, "volume": 0.0, "delta": 0.492, "gamma": 0.0107, "vega": 0.1698, "theta": -0.0269, "rho": 0.1083, "theo": 9.6353, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.77, "last_trade_time": "2026-07-02T11:25:20", "percent_change": 0.0, "prev_day_close": 10.0}, {"option": "DRAM270416P00069000", "bid": 25.15, "bid_size": 37.0, "ask": 27.05, "ask_size": 193.0, "iv": 0.8624, "open_interest": 31.0, "volume": 0.0, "delta": -0.5166, "gamma": 0.0114, "vega": 0.1685, "theta": -0.0257, "rho": -0.2532, "theo": 26.0283, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 29.55, "last_trade_time": "2026-07-29T12:28:30", "percent_change": 0.0, "prev_day_close": 26.1499996185303}, {"option": "DRAM270416C00070000", "bid": 8.05, "bid_size": 760.0, "ask": 10.8, "ask_size": 1283.0, "iv": 0.8586, "open_interest": 92.0, "volume": 0.0, "delta": 0.4842, "gamma": 0.0107, "vega": 0.1697, "theta": -0.0269, "rho": 0.107, "theo": 9.4186, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.15, "last_trade_time": "2026-07-30T14:39:29", "percent_change": 0.0, "prev_day_close": 10.0250000953674}, {"option": "DRAM270416P00070000", "bid": 25.7, "bid_size": 1.0, "ask": 27.8, "ask_size": 147.0, "iv": 0.8555, "open_interest": 13.0, "volume": 0.0, "delta": -0.5249, "gamma": 0.0114, "vega": 0.1684, "theta": -0.0256, "rho": -0.2573, "theo": 26.7963, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.0, "last_trade_time": "2026-07-30T11:01:39", "percent_change": 0.0, "prev_day_close": 27.0749998092651}, {"option": "DRAM270416C00071000", "bid": 8.3, "bid_size": 417.0, "ask": 10.95, "ask_size": 1207.0, "iv": 0.883, "open_interest": 6.0, "volume": 0.0, "delta": 0.4765, "gamma": 0.0107, "vega": 0.1695, "theta": -0.0269, "rho": 0.1057, "theo": 9.208, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.0, "last_trade_time": "2026-07-27T13:29:24", "percent_change": 0.0, "prev_day_close": 9.7000002861023}, {"option": "DRAM270416P00071000", "bid": 26.15, "bid_size": 135.0, "ask": 28.7, "ask_size": 212.0, "iv": 0.8498, "open_interest": 0.0, "volume": 0.0, "delta": -0.5331, "gamma": 0.0114, "vega": 0.168, "theta": -0.0255, "rho": -0.2603, "theo": 27.5705, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.63, "last_trade_time": "2026-06-24T10:20:05", "percent_change": 0.0, "prev_day_close": 27.6499996185303}, {"option": "DRAM270416C00072000", "bid": 8.25, "bid_size": 218.0, "ask": 10.5, "ask_size": 1152.0, "iv": 0.8806, "open_interest": 8.0, "volume": 0.0, "delta": 0.4689, "gamma": 0.0107, "vega": 0.1693, "theta": -0.0269, "rho": 0.1044, "theo": 9.0032, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.5, "last_trade_time": "2026-07-17T09:31:53", "percent_change": 0.0, "prev_day_close": 9.375}, {"option": "DRAM270416P00072000", "bid": 26.85, "bid_size": 161.0, "ask": 29.35, "ask_size": 220.0, "iv": 0.8436, "open_interest": 26.0, "volume": 0.0, "delta": -0.5412, "gamma": 0.0114, "vega": 0.1676, "theta": -0.0254, "rho": -0.2636, "theo": 28.3509, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.3, "last_trade_time": "2026-07-21T14:29:24", "percent_change": 0.0, "prev_day_close": 28.25}, {"option": "DRAM270416C00073000", "bid": 7.4, "bid_size": 838.0, "ask": 10.2, "ask_size": 1272.0, "iv": 0.8586, "open_interest": 13.0, "volume": 0.0, "delta": 0.4614, "gamma": 0.0107, "vega": 0.1691, "theta": -0.0269, "rho": 0.1032, "theo": 8.804, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.35, "last_trade_time": "2026-07-29T10:54:11", "percent_change": 0.0, "prev_day_close": 9.375}, {"option": "DRAM270416P00073000", "bid": 27.6, "bid_size": 163.0, "ask": 30.65, "ask_size": 266.0, "iv": 0.8581, "open_interest": 9.0, "volume": 0.0, "delta": -0.5491, "gamma": 0.0114, "vega": 0.1672, "theta": -0.0253, "rho": -0.2663, "theo": 29.1374, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 25.9, "last_trade_time": "2026-07-08T10:31:00", "percent_change": 0.0, "prev_day_close": 29.1499996185303}, {"option": "DRAM270416C00074000", "bid": 7.2, "bid_size": 1444.0, "ask": 9.55, "ask_size": 1268.0, "iv": 0.8451, "open_interest": 19.0, "volume": 0.0, "delta": 0.4541, "gamma": 0.0106, "vega": 0.1688, "theta": -0.0269, "rho": 0.1019, "theo": 8.6102, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.55, "last_trade_time": "2026-07-08T09:31:58", "percent_change": 0.0, "prev_day_close": 9.25}, {"option": "DRAM270416P00074000", "bid": 29.05, "bid_size": 105.0, "ask": 30.9, "ask_size": 485.0, "iv": 0.8618, "open_interest": 1.0, "volume": 0.0, "delta": -0.557, "gamma": 0.0114, "vega": 0.1667, "theta": -0.0252, "rho": -0.2687, "theo": 29.9298, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.22, "last_trade_time": "2026-07-17T11:12:56", "percent_change": 0.0, "prev_day_close": 30.0500001907349}, {"option": "DRAM270416C00075000", "bid": 7.0, "bid_size": 1425.0, "ask": 9.35, "ask_size": 1258.0, "iv": 0.8447, "open_interest": 24.0, "volume": 1.0, "delta": 0.4469, "gamma": 0.0106, "vega": 0.1684, "theta": -0.0269, "rho": 0.1006, "theo": 8.4217, "change": -1.06, "open": 7.94, "high": 7.94, "low": 7.94, "tick": "down", "last_trade_price": 7.94, "last_trade_time": "2026-08-03T12:22:21", "percent_change": -11.7778, "prev_day_close": 9.0}, {"option": "DRAM270416P00075000", "bid": 29.7, "bid_size": 415.0, "ask": 31.7, "ask_size": 503.0, "iv": 0.8576, "open_interest": 1.0, "volume": 0.0, "delta": -0.5647, "gamma": 0.0114, "vega": 0.1659, "theta": -0.025, "rho": -0.2724, "theo": 30.728, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.65, "last_trade_time": "2026-07-21T11:37:09", "percent_change": 0.0, "prev_day_close": 30.6750001907349}, {"option": "DRAM270416C00076000", "bid": 6.8, "bid_size": 1425.0, "ask": 9.15, "ask_size": 1218.0, "iv": 0.8439, "open_interest": 8.0, "volume": 0.0, "delta": 0.4398, "gamma": 0.0106, "vega": 0.168, "theta": -0.0268, "rho": 0.0994, "theo": 8.2384, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.17, "last_trade_time": "2026-07-30T13:20:47", "percent_change": 0.0, "prev_day_close": 8.80000019073486}, {"option": "DRAM270416P00076000", "bid": 30.0, "bid_size": 498.0, "ask": 32.45, "ask_size": 504.0, "iv": 0.841, "open_interest": 10.0, "volume": 0.0, "delta": -0.5723, "gamma": 0.0114, "vega": 0.1653, "theta": -0.0248, "rho": -0.2748, "theo": 31.5317, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.55, "last_trade_time": "2026-07-02T11:49:42", "percent_change": 0.0, "prev_day_close": 31.5250005722046}, {"option": "DRAM270416C00077000", "bid": 6.65, "bid_size": 719.0, "ask": 9.75, "ask_size": 1256.0, "iv": 0.8682, "open_interest": 3.0, "volume": 0.0, "delta": 0.4328, "gamma": 0.0106, "vega": 0.1675, "theta": -0.0268, "rho": 0.0981, "theo": 8.0601, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.65, "last_trade_time": "2026-06-18T15:53:15", "percent_change": 0.0, "prev_day_close": 8.47499990463257}, {"option": "DRAM270416P00077000", "bid": 31.4, "bid_size": 26.0, "ask": 33.75, "ask_size": 236.0, "iv": 0.8741, "open_interest": 1.0, "volume": 0.0, "delta": -0.5798, "gamma": 0.0114, "vega": 0.1648, "theta": -0.0247, "rho": -0.2782, "theo": 32.3406, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.2, "last_trade_time": "2026-06-25T12:08:56", "percent_change": 0.0, "prev_day_close": 32.25}, {"option": "DRAM270416C00078000", "bid": 6.5, "bid_size": 865.0, "ask": 9.2, "ask_size": 1172.0, "iv": 0.8579, "open_interest": 2.0, "volume": 0.0, "delta": 0.426, "gamma": 0.0105, "vega": 0.167, "theta": -0.0267, "rho": 0.0968, "theo": 7.8868, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.23, "last_trade_time": "2026-07-08T09:46:35", "percent_change": 0.0, "prev_day_close": 8.25}, {"option": "DRAM270416P00078000", "bid": 32.05, "bid_size": 114.0, "ask": 34.1, "ask_size": 185.0, "iv": 0.8553, "open_interest": 0.0, "volume": 0.0, "delta": -0.5872, "gamma": 0.0114, "vega": 0.1638, "theta": -0.0245, "rho": -0.2813, "theo": 33.1549, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 33.4500007629394}, {"option": "DRAM270416C00079000", "bid": 6.8, "bid_size": 956.0, "ask": 8.6, "ask_size": 1230.0, "iv": 0.8593, "open_interest": 35.0, "volume": 0.0, "delta": 0.4193, "gamma": 0.0105, "vega": 0.1664, "theta": -0.0267, "rho": 0.0955, "theo": 7.7182, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 8.05, "last_trade_time": "2026-07-30T10:24:27", "percent_change": 0.0, "prev_day_close": 8.27500009536743}, {"option": "DRAM270416P00079000", "bid": 33.05, "bid_size": 167.0, "ask": 34.9, "ask_size": 494.0, "iv": 0.8605, "open_interest": 21.0, "volume": 0.0, "delta": -0.5944, "gamma": 0.0113, "vega": 0.1631, "theta": -0.0243, "rho": -0.2844, "theo": 33.9744, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.95, "last_trade_time": "2026-07-02T11:54:34", "percent_change": 0.0, "prev_day_close": 34.1499996185303}, {"option": "DRAM270416C00080000", "bid": 7.0, "bid_size": 274.0, "ask": 9.05, "ask_size": 1470.0, "iv": 0.8891, "open_interest": 63.0, "volume": 1.0, "delta": 0.4127, "gamma": 0.0104, "vega": 0.1658, "theta": -0.0266, "rho": 0.0943, "theo": 7.5543, "change": -1.05, "open": 6.85, "high": 6.85, "low": 6.85, "tick": "down", "last_trade_price": 6.85, "last_trade_time": "2026-08-03T10:17:23", "percent_change": -13.2911, "prev_day_close": 7.90000009536743}, {"option": "DRAM270416P00080000", "bid": 33.75, "bid_size": 323.0, "ask": 35.05, "ask_size": 86.0, "iv": 0.8361, "open_interest": 4.0, "volume": 0.0, "delta": -0.6016, "gamma": 0.0113, "vega": 0.1624, "theta": -0.0242, "rho": -0.2862, "theo": 34.7983, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 31.19, "last_trade_time": "2026-07-08T11:16:58", "percent_change": 0.0, "prev_day_close": 34.75}, {"option": "DRAM270416C00081000", "bid": 6.65, "bid_size": 925.0, "ask": 8.2, "ask_size": 1203.0, "iv": 0.8629, "open_interest": 102.0, "volume": 0.0, "delta": 0.4062, "gamma": 0.0104, "vega": 0.1652, "theta": -0.0265, "rho": 0.0931, "theo": 7.3947, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.69, "last_trade_time": "2026-07-31T12:57:23", "percent_change": 0.0, "prev_day_close": 7.75}, {"option": "DRAM270416P00081000", "bid": 34.6, "bid_size": 349.0, "ask": 36.55, "ask_size": 460.0, "iv": 0.8578, "open_interest": 0.0, "volume": 0.0, "delta": -0.6086, "gamma": 0.0113, "vega": 0.1614, "theta": -0.024, "rho": -0.2885, "theo": 35.6271, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 35.5250015258789}, {"option": "DRAM270416C00082000", "bid": 5.85, "bid_size": 887.0, "ask": 8.75, "ask_size": 1361.0, "iv": 0.8651, "open_interest": 40.0, "volume": 0.0, "delta": 0.3998, "gamma": 0.0104, "vega": 0.1645, "theta": -0.0265, "rho": 0.0919, "theo": 7.2394, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.11, "last_trade_time": "2026-07-08T10:11:07", "percent_change": 0.0, "prev_day_close": 7.72500014305115}, {"option": "DRAM270416P00082000", "bid": 34.1, "bid_size": 234.0, "ask": 38.2, "ask_size": 247.0, "iv": 0.8419, "open_interest": 0.0, "volume": 0.0, "delta": -0.6156, "gamma": 0.0113, "vega": 0.1605, "theta": -0.0238, "rho": -0.2911, "theo": 36.4606, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.2999992370606}, {"option": "DRAM270416C00083000", "bid": 5.7, "bid_size": 896.0, "ask": 8.75, "ask_size": 1353.0, "iv": 0.8701, "open_interest": 0.0, "volume": 0.0, "delta": 0.3935, "gamma": 0.0103, "vega": 0.1638, "theta": -0.0264, "rho": 0.0907, "theo": 7.0882, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.45, "last_trade_time": "2026-06-25T14:28:10", "percent_change": 0.0, "prev_day_close": 7.69999980926514}, {"option": "DRAM270416P00083000", "bid": 35.5, "bid_size": 118.0, "ask": 39.0, "ask_size": 219.0, "iv": 0.8587, "open_interest": 0.0, "volume": 0.0, "delta": -0.6224, "gamma": 0.0112, "vega": 0.1596, "theta": -0.0236, "rho": -0.2924, "theo": 37.2984, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 37.1499996185303}, {"option": "DRAM270416C00084000", "bid": 5.55, "bid_size": 803.0, "ask": 8.4, "ask_size": 1340.0, "iv": 0.8642, "open_interest": 1.0, "volume": 0.0, "delta": 0.3874, "gamma": 0.0103, "vega": 0.1631, "theta": -0.0263, "rho": 0.0896, "theo": 6.941, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.22, "last_trade_time": "2026-07-02T09:32:47", "percent_change": 0.0, "prev_day_close": 7.57500004768372}, {"option": "DRAM270416P00084000", "bid": 36.6, "bid_size": 30.0, "ask": 39.3, "ask_size": 102.0, "iv": 0.85, "open_interest": 0.0, "volume": 0.0, "delta": -0.6291, "gamma": 0.0112, "vega": 0.1585, "theta": -0.0234, "rho": -0.294, "theo": 38.1408, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.0500011444092}, {"option": "DRAM270416C00085000", "bid": 5.4, "bid_size": 889.0, "ask": 8.3, "ask_size": 1343.0, "iv": 0.8657, "open_interest": 10.0, "volume": 0.0, "delta": 0.3813, "gamma": 0.0102, "vega": 0.1624, "theta": -0.0262, "rho": 0.0884, "theo": 6.7976, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.6, "last_trade_time": "2026-07-30T09:30:10", "percent_change": 0.0, "prev_day_close": 7.14999985694885}, {"option": "DRAM270416P00085000", "bid": 36.9, "bid_size": 206.0, "ask": 40.7, "ask_size": 222.0, "iv": 0.8504, "open_interest": 0.0, "volume": 0.0, "delta": -0.6357, "gamma": 0.0112, "vega": 0.1573, "theta": -0.0232, "rho": -0.2951, "theo": 38.9874, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.5, "last_trade_time": "2026-07-09T12:03:29", "percent_change": 0.0, "prev_day_close": 38.875}, {"option": "DRAM270416C00086000", "bid": 5.25, "bid_size": 825.0, "ask": 7.45, "ask_size": 836.0, "iv": 0.8436, "open_interest": 0.0, "volume": 0.0, "delta": 0.3754, "gamma": 0.0102, "vega": 0.1616, "theta": -0.0261, "rho": 0.0872, "theo": 6.658, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.02500009536743}, {"option": "DRAM270416P00086000", "bid": 38.8, "bid_size": 37.0, "ask": 41.6, "ask_size": 213.0, "iv": 0.8859, "open_interest": 2.0, "volume": 0.0, "delta": -0.6422, "gamma": 0.0112, "vega": 0.1564, "theta": -0.0229, "rho": -0.2968, "theo": 39.8381, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 42.41, "last_trade_time": "2026-07-28T12:37:22", "percent_change": 0.0, "prev_day_close": 39.7250003814697}, {"option": "DRAM270416C00087000", "bid": 5.15, "bid_size": 896.0, "ask": 8.0, "ask_size": 1388.0, "iv": 0.8665, "open_interest": 0.0, "volume": 0.0, "delta": 0.3696, "gamma": 0.0101, "vega": 0.1608, "theta": -0.026, "rho": 0.0861, "theo": 6.522, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.12499976158142}, {"option": "DRAM270416P00087000", "bid": 38.45, "bid_size": 188.0, "ask": 41.85, "ask_size": 145.0, "iv": 0.8277, "open_interest": 0.0, "volume": 0.0, "delta": -0.6486, "gamma": 0.0111, "vega": 0.1552, "theta": -0.0227, "rho": -0.2993, "theo": 40.6929, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 40.5}, {"option": "DRAM270416C00088000", "bid": 5.0, "bid_size": 896.0, "ask": 8.1, "ask_size": 1382.0, "iv": 0.8736, "open_interest": 1.0, "volume": 0.0, "delta": 0.3638, "gamma": 0.01, "vega": 0.16, "theta": -0.0259, "rho": 0.0849, "theo": 6.3897, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.69, "last_trade_time": "2026-07-24T10:28:08", "percent_change": 0.0, "prev_day_close": 6.72499990463257}, {"option": "DRAM270416P00088000", "bid": 39.55, "bid_size": 151.0, "ask": 43.3, "ask_size": 234.0, "iv": 0.8553, "open_interest": 0.0, "volume": 0.0, "delta": -0.655, "gamma": 0.0111, "vega": 0.1542, "theta": -0.0225, "rho": -0.3012, "theo": 41.5514, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 41.8500003814697}, {"option": "DRAM270416C00089000", "bid": 4.9, "bid_size": 1441.0, "ask": 6.7, "ask_size": 508.0, "iv": 0.8347, "open_interest": 5.0, "volume": 0.0, "delta": 0.3582, "gamma": 0.01, "vega": 0.1591, "theta": -0.0258, "rho": 0.0838, "theo": 6.2608, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.76, "last_trade_time": "2026-06-26T09:30:03", "percent_change": 0.0, "prev_day_close": 6.59999990463257}, {"option": "DRAM270416P00089000", "bid": 41.4, "bid_size": 310.0, "ask": 43.35, "ask_size": 352.0, "iv": 0.8614, "open_interest": 0.0, "volume": 0.0, "delta": -0.6612, "gamma": 0.011, "vega": 0.1527, "theta": -0.0222, "rho": -0.3041, "theo": 42.4139, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 42.5749988555908}, {"option": "DRAM270416C00090000", "bid": 5.45, "bid_size": 729.0, "ask": 7.15, "ask_size": 1431.0, "iv": 0.8747, "open_interest": 191.0, "volume": 6.0, "delta": 0.3527, "gamma": 0.0099, "vega": 0.1582, "theta": -0.0256, "rho": 0.0826, "theo": 6.1353, "change": -1.305, "open": 5.52, "high": 5.52, "low": 5.52, "tick": "down", "last_trade_price": 5.52, "last_trade_time": "2026-08-03T09:56:41", "percent_change": -19.1209, "prev_day_close": 6.82500004768372}, {"option": "DRAM270416P00090000", "bid": 42.25, "bid_size": 301.0, "ask": 44.25, "ask_size": 357.0, "iv": 0.8623, "open_interest": 0.0, "volume": 1.0, "delta": -0.6672, "gamma": 0.011, "vega": 0.1518, "theta": -0.022, "rho": -0.3057, "theo": 43.2799, "change": 1.925, "open": 45.15, "high": 45.15, "low": 45.15, "tick": "up", "last_trade_price": 45.15, "last_trade_time": "2026-08-03T09:52:57", "percent_change": 4.45344, "prev_day_close": 43.2250003814697}, {"option": "DRAM270416C00095000", "bid": 4.2, "bid_size": 1286.0, "ask": 6.3, "ask_size": 1277.0, "iv": 0.8463, "open_interest": 3.0, "volume": 0.0, "delta": 0.3266, "gamma": 0.0096, "vega": 0.1536, "theta": -0.025, "rho": 0.0774, "theo": 5.5546, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.95, "last_trade_time": "2026-07-31T14:38:40", "percent_change": 0.0, "prev_day_close": 5.97499990463257}, {"option": "DRAM270416P00095000", "bid": 46.9, "bid_size": 22.0, "ask": 48.6, "ask_size": 370.0, "iv": 0.8725, "open_interest": 0.0, "volume": 0.0, "delta": -0.6964, "gamma": 0.0108, "vega": 0.1455, "theta": -0.0208, "rho": -0.3092, "theo": 47.6606, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 47.6499996185303}, {"option": "DRAM270416C00100000", "bid": 4.05, "bid_size": 1178.0, "ask": 6.0, "ask_size": 1500.0, "iv": 0.8673, "open_interest": 123.0, "volume": 19.0, "delta": 0.3028, "gamma": 0.0093, "vega": 0.1488, "theta": -0.0243, "rho": 0.0724, "theo": 5.0429, "change": -0.745, "open": 4.68, "high": 5.0, "low": 4.68, "tick": "no_change", "last_trade_price": 4.78, "last_trade_time": "2026-08-03T13:27:05", "percent_change": -13.4842, "prev_day_close": 5.52500009536743}, {"option": "DRAM270416P00100000", "bid": 51.3, "bid_size": 11.0, "ask": 52.95, "ask_size": 222.0, "iv": 0.8689, "open_interest": 0.0, "volume": 0.0, "delta": -0.7233, "gamma": 0.0106, "vega": 0.1385, "theta": -0.0195, "rho": -0.3125, "theo": 52.1195, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 52.3999996185303}, {"option": "DRAM270416C00105000", "bid": 3.95, "bid_size": 587.0, "ask": 5.4, "ask_size": 1408.0, "iv": 0.8765, "open_interest": 5.0, "volume": 0.0, "delta": 0.2811, "gamma": 0.0089, "vega": 0.1436, "theta": -0.0236, "rho": 0.0677, "theo": 4.5915, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.04, "last_trade_time": "2026-07-10T11:41:04", "percent_change": 0.0, "prev_day_close": 4.87499988079071}, {"option": "DRAM270416P00105000", "bid": 55.65, "bid_size": 195.0, "ask": 57.6, "ask_size": 318.0, "iv": 0.8692, "open_interest": 0.0, "volume": 0.0, "delta": -0.7481, "gamma": 0.0103, "vega": 0.1316, "theta": -0.0182, "rho": -0.3107, "theo": 56.6446, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 56.5}, {"option": "DRAM270416C00110000", "bid": 3.1, "bid_size": 1400.0, "ask": 4.6, "ask_size": 918.0, "iv": 0.8479, "open_interest": 106.0, "volume": 1.0, "delta": 0.2613, "gamma": 0.0086, "vega": 0.1385, "theta": -0.0228, "rho": 0.0635, "theo": 4.1918, "change": -0.425, "open": 4.4, "high": 4.4, "low": 4.4, "tick": "up", "last_trade_price": 4.4, "last_trade_time": "2026-08-03T10:59:31", "percent_change": -8.80829, "prev_day_close": 4.82500004768372}, {"option": "DRAM270416P00110000", "bid": 60.25, "bid_size": 201.0, "ask": 62.2, "ask_size": 300.0, "iv": 0.8726, "open_interest": 10.0, "volume": 0.0, "delta": -0.7712, "gamma": 0.0101, "vega": 0.124, "theta": -0.0169, "rho": -0.3084, "theo": 61.2295, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 48.35, "last_trade_time": "2026-06-26T09:30:00", "percent_change": 0.0, "prev_day_close": 61.125}, {"option": "DRAM270416C00115000", "bid": 3.25, "bid_size": 527.0, "ask": 4.75, "ask_size": 1578.0, "iv": 0.8876, "open_interest": 17.0, "volume": 2.0, "delta": 0.2433, "gamma": 0.0083, "vega": 0.1334, "theta": -0.022, "rho": 0.0595, "theo": 3.8363, "change": -0.5, "open": 3.45, "high": 3.9, "low": 3.45, "tick": "up", "last_trade_price": 3.9, "last_trade_time": "2026-08-03T14:34:43", "percent_change": -11.3636, "prev_day_close": 4.40000009536743}, {"option": "DRAM270416P00115000", "bid": 65.05, "bid_size": 105.0, "ask": 66.8, "ask_size": 139.0, "iv": 0.8804, "open_interest": 0.0, "volume": 0.0, "delta": -0.7926, "gamma": 0.0099, "vega": 0.1166, "theta": -0.0155, "rho": -0.3055, "theo": 65.8659, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 65.7249984741211}, {"option": "DRAM270416C00122000", "bid": 2.9, "bid_size": 466.0, "ask": 4.15, "ask_size": 1514.0, "iv": 0.8882, "open_interest": 284.0, "volume": 1.0, "delta": 0.2206, "gamma": 0.0078, "vega": 0.1262, "theta": -0.0209, "rho": 0.0543, "theo": 3.4032, "change": -0.55, "open": 3.45, "high": 3.45, "low": 3.45, "tick": "down", "last_trade_price": 3.45, "last_trade_time": "2026-08-03T14:34:43", "percent_change": -13.75, "prev_day_close": 4.0}, {"option": "DRAM270416P00122000", "bid": 71.6, "bid_size": 116.0, "ask": 73.4, "ask_size": 184.0, "iv": 0.8852, "open_interest": 0.0, "volume": 0.0, "delta": -0.82, "gamma": 0.0096, "vega": 0.1054, "theta": -0.0137, "rho": -0.2952, "theo": 72.431, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 72.2999992370606}, {"option": "DRAM270521C00025000", "bid": 28.15, "bid_size": 84.0, "ask": 31.5, "ask_size": 73.0, "iv": 0.9739, "open_interest": 0.0, "volume": 1.0, "delta": 0.9044, "gamma": 0.004, "vega": 0.0748, "theta": -0.007, "rho": 0.133, "theo": 29.1955, "change": -1.4, "open": 28.35, "high": 28.35, "low": 28.35, "tick": "down", "last_trade_price": 28.35, "last_trade_time": "2026-08-03T12:00:06", "percent_change": -4.70588, "prev_day_close": 29.75}, {"option": "DRAM270521P00025000", "bid": 2.03, "bid_size": 335.0, "ask": 2.74, "ask_size": 1061.0, "iv": 0.8751, "open_interest": 1.0, "volume": 101.0, "delta": -0.0915, "gamma": 0.004, "vega": 0.0751, "theta": -0.0112, "rho": -0.0515, "theo": 2.5097, "change": -0.145, "open": 2.43, "high": 2.48, "low": 2.43, "tick": "up", "last_trade_price": 2.48, "last_trade_time": "2026-08-03T11:24:09", "percent_change": -5.52381, "prev_day_close": 2.625}, {"option": "DRAM270521C00030000", "bid": 24.65, "bid_size": 386.0, "ask": 27.25, "ask_size": 300.0, "iv": 0.8867, "open_interest": 9.0, "volume": 0.0, "delta": 0.8624, "gamma": 0.0053, "vega": 0.098, "theta": -0.0108, "rho": 0.1437, "theo": 25.8547, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.9, "last_trade_time": "2026-07-31T14:47:35", "percent_change": 0.0, "prev_day_close": 25.7000007629395}, {"option": "DRAM270521P00030000", "bid": 3.5, "bid_size": 485.0, "ask": 4.4, "ask_size": 1164.0, "iv": 0.8711, "open_interest": 11.0, "volume": 0.0, "delta": -0.134, "gamma": 0.0054, "vega": 0.0986, "theta": -0.0144, "rho": -0.0762, "theo": 4.0078, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.0, "last_trade_time": "2026-07-31T10:35:49", "percent_change": 0.0, "prev_day_close": 4.0}, {"option": "DRAM270521C00035000", "bid": 21.15, "bid_size": 146.0, "ask": 24.35, "ask_size": 32.0, "iv": 0.8548, "open_interest": 5.0, "volume": 0.0, "delta": 0.8164, "gamma": 0.0066, "vega": 0.1192, "theta": -0.0143, "rho": 0.1492, "theo": 22.8943, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 21.7, "last_trade_time": "2026-07-28T11:26:44", "percent_change": 0.0, "prev_day_close": 23.2250003814697}, {"option": "DRAM270521P00035000", "bid": 5.0, "bid_size": 474.0, "ask": 7.6, "ask_size": 12.0, "iv": 0.8405, "open_interest": 16.0, "volume": 0.0, "delta": -0.1809, "gamma": 0.0067, "vega": 0.1201, "theta": -0.0173, "rho": -0.1038, "theo": 5.892, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.7, "last_trade_time": "2026-07-30T09:30:31", "percent_change": 0.0, "prev_day_close": 5.84999990463257}, {"option": "DRAM270521C00036000", "bid": 20.6, "bid_size": 159.0, "ask": 24.4, "ask_size": 102.0, "iv": 0.8779, "open_interest": 0.0, "volume": 0.0, "delta": 0.8068, "gamma": 0.0068, "vega": 0.1231, "theta": -0.0149, "rho": 0.1497, "theo": 22.3463, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.9250001907349}, {"option": "DRAM270521P00036000", "bid": 5.3, "bid_size": 741.0, "ask": 6.75, "ask_size": 332.0, "iv": 0.8421, "open_interest": 2.0, "volume": 0.0, "delta": -0.1907, "gamma": 0.007, "vega": 0.124, "theta": -0.0178, "rho": -0.1095, "theo": 6.3138, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.02, "last_trade_time": "2026-07-06T10:36:36", "percent_change": 0.0, "prev_day_close": 6.65000009536743}, {"option": "DRAM270521C00037000", "bid": 20.05, "bid_size": 156.0, "ask": 23.25, "ask_size": 30.0, "iv": 0.8512, "open_interest": 1.0, "volume": 0.0, "delta": 0.7972, "gamma": 0.007, "vega": 0.1269, "theta": -0.0155, "rho": 0.1502, "theo": 21.8125, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 30.25, "last_trade_time": "2026-07-07T10:47:23", "percent_change": 0.0, "prev_day_close": 22.375}, {"option": "DRAM270521P00037000", "bid": 6.1, "bid_size": 716.0, "ask": 8.05, "ask_size": 1524.0, "iv": 0.8894, "open_interest": 31.0, "volume": 0.0, "delta": -0.2005, "gamma": 0.0072, "vega": 0.1278, "theta": -0.0183, "rho": -0.115, "theo": 6.7498, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 7.8, "last_trade_time": "2026-07-17T09:45:38", "percent_change": 0.0, "prev_day_close": 6.95000004768372}, {"option": "DRAM270521C00038000", "bid": 19.5, "bid_size": 163.0, "ask": 23.5, "ask_size": 107.0, "iv": 0.8786, "open_interest": 0.0, "volume": 0.0, "delta": 0.7876, "gamma": 0.0072, "vega": 0.1305, "theta": -0.0161, "rho": 0.1505, "theo": 21.2923, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.8500003814697}, {"option": "DRAM270521P00038000", "bid": 5.55, "bid_size": 1429.0, "ask": 8.4, "ask_size": 1084.0, "iv": 0.8456, "open_interest": 0.0, "volume": 0.0, "delta": -0.2104, "gamma": 0.0074, "vega": 0.1315, "theta": -0.0188, "rho": -0.1207, "theo": 7.2002, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.22499990463257}, {"option": "DRAM270521C00039000", "bid": 19.55, "bid_size": 457.0, "ask": 21.85, "ask_size": 255.0, "iv": 0.8551, "open_interest": 1.0, "volume": 0.0, "delta": 0.7779, "gamma": 0.0074, "vega": 0.134, "theta": -0.0167, "rho": 0.1506, "theo": 20.7858, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 29.0, "last_trade_time": "2026-07-14T10:07:21", "percent_change": 0.0, "prev_day_close": 21.125}, {"option": "DRAM270521P00039000", "bid": 6.7, "bid_size": 1448.0, "ask": 8.8, "ask_size": 1627.0, "iv": 0.8678, "open_interest": 3.0, "volume": 0.0, "delta": -0.2203, "gamma": 0.0076, "vega": 0.135, "theta": -0.0192, "rho": -0.1266, "theo": 7.6644, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.35, "last_trade_time": "2026-07-10T15:20:58", "percent_change": 0.0, "prev_day_close": 7.77499985694885}, {"option": "DRAM270521C00040000", "bid": 19.05, "bid_size": 500.0, "ask": 22.05, "ask_size": 461.0, "iv": 0.8792, "open_interest": 43.0, "volume": 1.0, "delta": 0.7682, "gamma": 0.0076, "vega": 0.1374, "theta": -0.0173, "rho": 0.1506, "theo": 20.2927, "change": -0.295, "open": 20.53, "high": 20.53, "low": 20.53, "tick": "down", "last_trade_price": 20.53, "last_trade_time": "2026-08-03T15:34:58", "percent_change": -1.41657, "prev_day_close": 20.8249998092651}, {"option": "DRAM270521P00040000", "bid": 7.0, "bid_size": 1670.0, "ask": 9.3, "ask_size": 1629.0, "iv": 0.861, "open_interest": 18.0, "volume": 1.0, "delta": -0.2303, "gamma": 0.0078, "vega": 0.1384, "theta": -0.0197, "rho": -0.1328, "theo": 8.1427, "change": -0.01, "open": 7.99, "high": 7.99, "low": 7.99, "tick": "down", "last_trade_price": 7.99, "last_trade_time": "2026-08-03T15:00:55", "percent_change": -0.125, "prev_day_close": 8.0}, {"option": "DRAM270521C00041000", "bid": 18.55, "bid_size": 259.0, "ask": 21.0, "ask_size": 140.0, "iv": 0.8567, "open_interest": 4.0, "volume": 0.0, "delta": 0.7584, "gamma": 0.0078, "vega": 0.1406, "theta": -0.0178, "rho": 0.1505, "theo": 19.8129, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.45, "last_trade_time": "2026-07-13T11:38:01", "percent_change": 0.0, "prev_day_close": 20.3499994277954}, {"option": "DRAM270521P00041000", "bid": 7.8, "bid_size": 1040.0, "ask": 9.8, "ask_size": 1608.0, "iv": 0.8711, "open_interest": 0.0, "volume": 0.0, "delta": -0.2403, "gamma": 0.008, "vega": 0.1416, "theta": -0.0201, "rho": -0.1385, "theo": 8.6344, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 8.67499995231628}, {"option": "DRAM270521C00042000", "bid": 17.55, "bid_size": 176.0, "ask": 21.55, "ask_size": 213.0, "iv": 0.8727, "open_interest": 0.0, "volume": 0.0, "delta": 0.7487, "gamma": 0.008, "vega": 0.1437, "theta": -0.0183, "rho": 0.1503, "theo": 19.3461, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.9000005722046}, {"option": "DRAM270521P00042000", "bid": 7.15, "bid_size": 1088.0, "ask": 10.45, "ask_size": 1014.0, "iv": 0.8351, "open_interest": 0.0, "volume": 0.0, "delta": -0.2503, "gamma": 0.0082, "vega": 0.1447, "theta": -0.0205, "rho": -0.1446, "theo": 9.139, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.7, "last_trade_time": "2026-07-30T10:07:26", "percent_change": 0.0, "prev_day_close": 9.10000014305115}, {"option": "DRAM270521C00043000", "bid": 17.0, "bid_size": 609.0, "ask": 20.8, "ask_size": 489.0, "iv": 0.8583, "open_interest": 1.0, "volume": 0.0, "delta": 0.739, "gamma": 0.0082, "vega": 0.1466, "theta": -0.0188, "rho": 0.15, "theo": 18.8917, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.54, "last_trade_time": "2026-07-07T09:33:44", "percent_change": 0.0, "prev_day_close": 19.4250001907349}, {"option": "DRAM270521P00043000", "bid": 8.9, "bid_size": 919.0, "ask": 10.8, "ask_size": 1594.0, "iv": 0.8708, "open_interest": 0.0, "volume": 0.0, "delta": -0.2603, "gamma": 0.0084, "vega": 0.1477, "theta": -0.0209, "rho": -0.1503, "theo": 9.6566, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.82499980926514}, {"option": "DRAM270521C00044000", "bid": 16.6, "bid_size": 688.0, "ask": 20.55, "ask_size": 751.0, "iv": 0.8654, "open_interest": 16.0, "volume": 2.0, "delta": 0.7293, "gamma": 0.0083, "vega": 0.1494, "theta": -0.0193, "rho": 0.1497, "theo": 18.4494, "change": -0.475, "open": 18.25, "high": 18.25, "low": 18.25, "tick": "down", "last_trade_price": 18.25, "last_trade_time": "2026-08-03T12:00:07", "percent_change": -2.53672, "prev_day_close": 18.7250003814697}, {"option": "DRAM270521P00044000", "bid": 9.45, "bid_size": 885.0, "ask": 11.35, "ask_size": 1536.0, "iv": 0.8711, "open_interest": 0.0, "volume": 0.0, "delta": -0.2703, "gamma": 0.0086, "vega": 0.1505, "theta": -0.0212, "rho": -0.1561, "theo": 10.1871, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 10.25}, {"option": "DRAM270521C00045000", "bid": 17.6, "bid_size": 314.0, "ask": 20.1, "ask_size": 686.0, "iv": 0.9111, "open_interest": 0.0, "volume": 1.0, "delta": 0.7196, "gamma": 0.0085, "vega": 0.1521, "theta": -0.0197, "rho": 0.1491, "theo": 18.0191, "change": -0.59, "open": 18.31, "high": 18.31, "low": 18.31, "tick": "down", "last_trade_price": 18.31, "last_trade_time": "2026-08-03T15:12:08", "percent_change": -3.12169, "prev_day_close": 18.8999996185303}, {"option": "DRAM270521P00045000", "bid": 8.5, "bid_size": 1775.0, "ask": 11.85, "ask_size": 1629.0, "iv": 0.8202, "open_interest": 4.0, "volume": 0.0, "delta": -0.2803, "gamma": 0.0088, "vega": 0.1531, "theta": -0.0216, "rho": -0.1618, "theo": 10.7296, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.2, "last_trade_time": "2026-07-30T10:29:38", "percent_change": 0.0, "prev_day_close": 10.4250001907349}, {"option": "DRAM270521C00046000", "bid": 16.25, "bid_size": 994.0, "ask": 18.75, "ask_size": 604.0, "iv": 0.8492, "open_interest": 4.0, "volume": 0.0, "delta": 0.71, "gamma": 0.0086, "vega": 0.1546, "theta": -0.0201, "rho": 0.1485, "theo": 17.6006, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.0, "last_trade_time": "2026-07-30T09:44:00", "percent_change": 0.0, "prev_day_close": 18.2250003814697}, {"option": "DRAM270521P00046000", "bid": 10.25, "bid_size": 1435.0, "ask": 12.4, "ask_size": 1468.0, "iv": 0.8583, "open_interest": 106.0, "volume": 0.0, "delta": -0.2902, "gamma": 0.0089, "vega": 0.1557, "theta": -0.0219, "rho": -0.1682, "theo": 11.2846, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 12.77, "last_trade_time": "2026-07-28T10:49:34", "percent_change": 0.0, "prev_day_close": 11.0999999046326}, {"option": "DRAM270521C00047000", "bid": 15.85, "bid_size": 980.0, "ask": 18.0, "ask_size": 285.0, "iv": 0.8381, "open_interest": 11.0, "volume": 7.0, "delta": 0.7004, "gamma": 0.0088, "vega": 0.157, "theta": -0.0205, "rho": 0.1478, "theo": 17.1936, "change": -2.125, "open": 14.81, "high": 15.55, "low": 14.81, "tick": "up", "last_trade_price": 15.55, "last_trade_time": "2026-08-03T09:40:16", "percent_change": -12.0226, "prev_day_close": 17.6750001907349}, {"option": "DRAM270521P00047000", "bid": 10.9, "bid_size": 1292.0, "ask": 13.0, "ask_size": 1483.0, "iv": 0.8614, "open_interest": 20.0, "volume": 0.0, "delta": -0.3001, "gamma": 0.0091, "vega": 0.158, "theta": -0.0222, "rho": -0.1735, "theo": 11.8513, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.7, "last_trade_time": "2026-07-28T10:31:46", "percent_change": 0.0, "prev_day_close": 11.9249997138977}, {"option": "DRAM270521C00048000", "bid": 14.9, "bid_size": 1087.0, "ask": 18.6, "ask_size": 684.0, "iv": 0.8517, "open_interest": 19.0, "volume": 0.0, "delta": 0.6909, "gamma": 0.0089, "vega": 0.1593, "theta": -0.0209, "rho": 0.1471, "theo": 16.7979, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.75, "last_trade_time": "2026-07-28T11:52:15", "percent_change": 0.0, "prev_day_close": 17.3250002861023}, {"option": "DRAM270521P00048000", "bid": 11.1, "bid_size": 1660.0, "ask": 13.55, "ask_size": 1467.0, "iv": 0.8482, "open_interest": 55.0, "volume": 0.0, "delta": -0.31, "gamma": 0.0092, "vega": 0.1603, "theta": -0.0224, "rho": -0.1796, "theo": 12.4292, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 14.59, "last_trade_time": "2026-07-28T10:38:03", "percent_change": 0.0, "prev_day_close": 12.4749999046326}, {"option": "DRAM270521C00049000", "bid": 15.3, "bid_size": 1011.0, "ask": 17.5, "ask_size": 634.0, "iv": 0.8535, "open_interest": 4.0, "volume": 17.0, "delta": 0.6814, "gamma": 0.009, "vega": 0.1614, "theta": -0.0213, "rho": 0.1463, "theo": 16.413, "change": -1.1, "open": 16.1, "high": 16.2, "low": 15.65, "tick": "down", "last_trade_price": 15.8, "last_trade_time": "2026-08-03T12:10:26", "percent_change": -6.50888, "prev_day_close": 16.9000000953674}, {"option": "DRAM270521P00049000", "bid": 11.6, "bid_size": 1653.0, "ask": 14.15, "ask_size": 1464.0, "iv": 0.8454, "open_interest": 6.0, "volume": 0.0, "delta": -0.3198, "gamma": 0.0094, "vega": 0.1624, "theta": -0.0227, "rho": -0.1849, "theo": 13.0185, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.35, "last_trade_time": "2026-07-29T11:06:48", "percent_change": 0.0, "prev_day_close": 12.9500002861023}, {"option": "DRAM270521C00050000", "bid": 15.1, "bid_size": 1007.0, "ask": 17.15, "ask_size": 949.0, "iv": 0.8592, "open_interest": 76.0, "volume": 14.0, "delta": 0.672, "gamma": 0.0091, "vega": 0.1634, "theta": -0.0216, "rho": 0.1456, "theo": 16.0385, "change": -0.495, "open": 15.0, "high": 16.0, "low": 15.0, "tick": "down", "last_trade_price": 15.88, "last_trade_time": "2026-08-03T13:22:54", "percent_change": -3.0229, "prev_day_close": 16.375}, {"option": "DRAM270521P00050000", "bid": 12.75, "bid_size": 972.0, "ask": 14.75, "ask_size": 1453.0, "iv": 0.8619, "open_interest": 36.0, "volume": 0.0, "delta": -0.3296, "gamma": 0.0095, "vega": 0.1643, "theta": -0.0229, "rho": -0.1903, "theo": 13.6188, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 13.75, "last_trade_time": "2026-07-31T12:10:14", "percent_change": 0.0, "prev_day_close": 13.7750000953674}, {"option": "DRAM270521C00051000", "bid": 15.35, "bid_size": 43.0, "ask": 16.9, "ask_size": 610.0, "iv": 0.8809, "open_interest": 5.0, "volume": 0.0, "delta": 0.6627, "gamma": 0.0092, "vega": 0.1653, "theta": -0.022, "rho": 0.1447, "theo": 15.6742, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.8, "last_trade_time": "2026-07-27T10:48:53", "percent_change": 0.0, "prev_day_close": 16.4249997138977}, {"option": "DRAM270521P00051000", "bid": 13.2, "bid_size": 1334.0, "ask": 15.3, "ask_size": 1467.0, "iv": 0.8548, "open_interest": 1.0, "volume": 0.0, "delta": -0.3393, "gamma": 0.0096, "vega": 0.1661, "theta": -0.0231, "rho": -0.1958, "theo": 14.2296, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.75, "last_trade_time": "2026-07-30T15:07:40", "percent_change": 0.0, "prev_day_close": 14.0750002861023}, {"option": "DRAM270521C00052000", "bid": 15.05, "bid_size": 6.0, "ask": 16.65, "ask_size": 671.0, "iv": 0.8851, "open_interest": 18.0, "volume": 1.0, "delta": 0.6535, "gamma": 0.0093, "vega": 0.167, "theta": -0.0222, "rho": 0.1437, "theo": 15.3199, "change": -2.55, "open": 13.5, "high": 13.5, "low": 13.5, "tick": "down", "last_trade_price": 13.5, "last_trade_time": "2026-08-03T10:06:00", "percent_change": -15.8879, "prev_day_close": 16.0500001907349}, {"option": "DRAM270521P00052000", "bid": 14.1, "bid_size": 734.0, "ask": 15.95, "ask_size": 1346.0, "iv": 0.8637, "open_interest": 2.0, "volume": 0.0, "delta": -0.3489, "gamma": 0.0097, "vega": 0.1678, "theta": -0.0233, "rho": -0.2017, "theo": 14.851, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.47, "last_trade_time": "2026-07-29T12:04:20", "percent_change": 0.0, "prev_day_close": 14.7750000953674}, {"option": "DRAM270521C00053000", "bid": 13.6, "bid_size": 1001.0, "ask": 15.7, "ask_size": 287.0, "iv": 0.8339, "open_interest": 15.0, "volume": 0.0, "delta": 0.6443, "gamma": 0.0094, "vega": 0.1686, "theta": -0.0225, "rho": 0.1426, "theo": 14.9754, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 13.0, "last_trade_time": "2026-07-29T14:00:05", "percent_change": 0.0, "prev_day_close": 15.5250000953674}, {"option": "DRAM270521P00053000", "bid": 14.4, "bid_size": 1153.0, "ask": 16.65, "ask_size": 1350.0, "iv": 0.8556, "open_interest": 0.0, "volume": 0.0, "delta": -0.3584, "gamma": 0.0098, "vega": 0.1694, "theta": -0.0235, "rho": -0.2076, "theo": 15.4825, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 15.6499996185303}, {"option": "DRAM270521C00054000", "bid": 13.5, "bid_size": 1195.0, "ask": 15.7, "ask_size": 948.0, "iv": 0.8506, "open_interest": 52.0, "volume": 1.0, "delta": 0.6352, "gamma": 0.0095, "vega": 0.1702, "theta": -0.0228, "rho": 0.1416, "theo": 14.6406, "change": -0.815, "open": 14.06, "high": 14.06, "low": 14.06, "tick": "up", "last_trade_price": 14.06, "last_trade_time": "2026-08-03T12:10:29", "percent_change": -5.47899, "prev_day_close": 14.875}, {"option": "DRAM270521P00054000", "bid": 15.35, "bid_size": 755.0, "ask": 17.3, "ask_size": 1381.0, "iv": 0.8647, "open_interest": 3.0, "volume": 0.0, "delta": -0.3679, "gamma": 0.01, "vega": 0.1708, "theta": -0.0237, "rho": -0.2127, "theo": 16.124, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.38, "last_trade_time": "2026-07-30T15:15:12", "percent_change": 0.0, "prev_day_close": 16.3249998092651}, {"option": "DRAM270521C00055000", "bid": 13.15, "bid_size": 1117.0, "ask": 15.05, "ask_size": 370.0, "iv": 0.8403, "open_interest": 33.0, "volume": 0.0, "delta": 0.6262, "gamma": 0.0096, "vega": 0.1715, "theta": -0.0231, "rho": 0.1405, "theo": 14.3149, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.9, "last_trade_time": "2026-07-30T10:24:23", "percent_change": 0.0, "prev_day_close": 14.625}, {"option": "DRAM270521P00055000", "bid": 15.5, "bid_size": 1320.0, "ask": 17.9, "ask_size": 1453.0, "iv": 0.8485, "open_interest": 71.0, "volume": 0.0, "delta": -0.3773, "gamma": 0.01, "vega": 0.1722, "theta": -0.0238, "rho": -0.2185, "theo": 16.7746, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.45, "last_trade_time": "2026-07-28T09:30:02", "percent_change": 0.0, "prev_day_close": 16.9499998092651}, {"option": "DRAM270521C00056000", "bid": 12.65, "bid_size": 453.0, "ask": 16.2, "ask_size": 493.0, "iv": 0.8774, "open_interest": 6.0, "volume": 0.0, "delta": 0.6174, "gamma": 0.0097, "vega": 0.1728, "theta": -0.0233, "rho": 0.1394, "theo": 13.9982, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.31, "last_trade_time": "2026-07-28T10:26:07", "percent_change": 0.0, "prev_day_close": 14.6000003814697}, {"option": "DRAM270521P00056000", "bid": 16.5, "bid_size": 197.0, "ask": 19.25, "ask_size": 799.0, "iv": 0.8781, "open_interest": 1.0, "volume": 0.0, "delta": -0.3866, "gamma": 0.0101, "vega": 0.1734, "theta": -0.024, "rho": -0.2229, "theo": 17.4348, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.07, "last_trade_time": "2026-07-15T11:51:42", "percent_change": 0.0, "prev_day_close": 17.875}, {"option": "DRAM270521C00057000", "bid": 12.6, "bid_size": 234.0, "ask": 15.05, "ask_size": 381.0, "iv": 0.8604, "open_interest": 5.0, "volume": 0.0, "delta": 0.6086, "gamma": 0.0097, "vega": 0.174, "theta": -0.0235, "rho": 0.1384, "theo": 13.6901, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.0, "last_trade_time": "2026-07-21T09:38:15", "percent_change": 0.0, "prev_day_close": 14.0999999046326}, {"option": "DRAM270521P00057000", "bid": 17.2, "bid_size": 157.0, "ask": 19.9, "ask_size": 328.0, "iv": 0.8782, "open_interest": 1.0, "volume": 0.0, "delta": -0.3958, "gamma": 0.0102, "vega": 0.1744, "theta": -0.0241, "rho": -0.2283, "theo": 18.1041, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.0, "last_trade_time": "2026-07-28T10:36:46", "percent_change": 0.0, "prev_day_close": 18.75}, {"option": "DRAM270521C00058000", "bid": 13.0, "bid_size": 16.0, "ask": 13.75, "ask_size": 10.0, "iv": 0.8532, "open_interest": 20.0, "volume": 0.0, "delta": 0.5999, "gamma": 0.0098, "vega": 0.1751, "theta": -0.0237, "rho": 0.1372, "theo": 13.3903, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.75, "last_trade_time": "2026-07-30T15:28:40", "percent_change": 0.0, "prev_day_close": 13.8499999046326}, {"option": "DRAM270521P00058000", "bid": 17.15, "bid_size": 572.0, "ask": 19.9, "ask_size": 589.0, "iv": 0.838, "open_interest": 10.0, "volume": 0.0, "delta": -0.4049, "gamma": 0.0103, "vega": 0.1755, "theta": -0.0242, "rho": -0.2337, "theo": 18.7822, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.95, "last_trade_time": "2026-07-17T10:23:25", "percent_change": 0.0, "prev_day_close": 19.1999998092651}, {"option": "DRAM270521C00059000", "bid": 12.3, "bid_size": 867.0, "ask": 13.6, "ask_size": 102.0, "iv": 0.8442, "open_interest": 16.0, "volume": 7.0, "delta": 0.5913, "gamma": 0.0099, "vega": 0.176, "theta": -0.0239, "rho": 0.136, "theo": 13.0987, "change": -1.125, "open": 12.2, "high": 12.7, "low": 12.2, "tick": "no_change", "last_trade_price": 12.7, "last_trade_time": "2026-08-03T12:27:09", "percent_change": -8.13743, "prev_day_close": 13.8250002861023}, {"option": "DRAM270521P00059000", "bid": 18.35, "bid_size": 481.0, "ask": 20.6, "ask_size": 628.0, "iv": 0.853, "open_interest": 1.0, "volume": 0.0, "delta": -0.4139, "gamma": 0.0104, "vega": 0.1763, "theta": -0.0242, "rho": -0.2384, "theo": 19.4688, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.3, "last_trade_time": "2026-06-29T12:27:13", "percent_change": 0.0, "prev_day_close": 19.7249994277954}, {"option": "DRAM270521C00060000", "bid": 11.4, "bid_size": 1445.0, "ask": 13.65, "ask_size": 553.0, "iv": 0.8363, "open_interest": 88.0, "volume": 0.0, "delta": 0.5829, "gamma": 0.0099, "vega": 0.1769, "theta": -0.0241, "rho": 0.1348, "theo": 12.815, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.3, "last_trade_time": "2026-07-31T12:18:47", "percent_change": 0.0, "prev_day_close": 13.2750000953674}, {"option": "DRAM270521P00060000", "bid": 19.3, "bid_size": 422.0, "ask": 21.25, "ask_size": 548.0, "iv": 0.8589, "open_interest": 25.0, "volume": 0.0, "delta": -0.4228, "gamma": 0.0104, "vega": 0.177, "theta": -0.0243, "rho": -0.2438, "theo": 20.1641, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 21.88, "last_trade_time": "2026-07-30T09:30:01", "percent_change": 0.0, "prev_day_close": 20.375}, {"option": "DRAM270521C00061000", "bid": 11.5, "bid_size": 1016.0, "ask": 13.9, "ask_size": 1310.0, "iv": 0.8617, "open_interest": 21.0, "volume": 0.0, "delta": 0.5745, "gamma": 0.01, "vega": 0.1777, "theta": -0.0242, "rho": 0.1335, "theo": 12.5392, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 10.45, "last_trade_time": "2026-07-29T13:07:50", "percent_change": 0.0, "prev_day_close": 12.9249997138977}, {"option": "DRAM270521P00061000", "bid": 19.35, "bid_size": 547.0, "ask": 21.95, "ask_size": 518.0, "iv": 0.8405, "open_interest": 1.0, "volume": 0.0, "delta": -0.4317, "gamma": 0.0105, "vega": 0.1777, "theta": -0.0244, "rho": -0.2483, "theo": 20.8671, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.4, "last_trade_time": "2026-07-02T12:04:06", "percent_change": 0.0, "prev_day_close": 21.0250005722046}, {"option": "DRAM270521C00062000", "bid": 10.8, "bid_size": 1221.0, "ask": 13.3, "ask_size": 1103.0, "iv": 0.8404, "open_interest": 11.0, "volume": 2.0, "delta": 0.5662, "gamma": 0.01, "vega": 0.1783, "theta": -0.0244, "rho": 0.1322, "theo": 12.271, "change": -2.825, "open": 9.85, "high": 9.85, "low": 9.85, "tick": "down", "last_trade_price": 9.85, "last_trade_time": "2026-08-03T09:47:10", "percent_change": -22.288, "prev_day_close": 12.6749997138977}, {"option": "DRAM270521P00062000", "bid": 19.9, "bid_size": 514.0, "ask": 22.7, "ask_size": 515.0, "iv": 0.8372, "open_interest": 0.0, "volume": 0.0, "delta": -0.4404, "gamma": 0.0106, "vega": 0.1783, "theta": -0.0244, "rho": -0.253, "theo": 21.5782, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.7249994277954}, {"option": "DRAM270521C00063000", "bid": 10.55, "bid_size": 1276.0, "ask": 13.7, "ask_size": 1420.0, "iv": 0.8593, "open_interest": 34.0, "volume": 0.0, "delta": 0.5581, "gamma": 0.01, "vega": 0.1789, "theta": -0.0245, "rho": 0.131, "theo": 12.0101, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.0, "last_trade_time": "2026-07-31T11:42:59", "percent_change": 0.0, "prev_day_close": 12.5500001907349}, {"option": "DRAM270521P00063000", "bid": 21.35, "bid_size": 392.0, "ask": 23.4, "ask_size": 537.0, "iv": 0.8572, "open_interest": 0.0, "volume": 0.0, "delta": -0.449, "gamma": 0.0106, "vega": 0.1788, "theta": -0.0244, "rho": -0.2582, "theo": 22.2971, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.4499998092651}, {"option": "DRAM270521C00064000", "bid": 10.45, "bid_size": 630.0, "ask": 13.9, "ask_size": 1246.0, "iv": 0.8764, "open_interest": 28.0, "volume": 0.0, "delta": 0.5501, "gamma": 0.01, "vega": 0.1795, "theta": -0.0246, "rho": 0.1298, "theo": 11.7562, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.1, "last_trade_time": "2026-07-15T11:20:34", "percent_change": 0.0, "prev_day_close": 12.4249997138977}, {"option": "DRAM270521P00064000", "bid": 22.05, "bid_size": 150.0, "ask": 24.8, "ask_size": 277.0, "iv": 0.8755, "open_interest": 2.0, "volume": 0.0, "delta": -0.4575, "gamma": 0.0106, "vega": 0.179, "theta": -0.0244, "rho": -0.2617, "theo": 23.0227, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.55, "last_trade_time": "2026-07-28T10:33:29", "percent_change": 0.0, "prev_day_close": 23.625}, {"option": "DRAM270521C00065000", "bid": 10.7, "bid_size": 1154.0, "ask": 12.15, "ask_size": 462.0, "iv": 0.8485, "open_interest": 125.0, "volume": 0.0, "delta": 0.5422, "gamma": 0.0101, "vega": 0.1799, "theta": -0.0247, "rho": 0.1285, "theo": 11.509, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.04, "last_trade_time": "2026-07-31T11:18:33", "percent_change": 0.0, "prev_day_close": 11.8000001907349}, {"option": "DRAM270521P00065000", "bid": 21.85, "bid_size": 226.0, "ask": 25.5, "ask_size": 298.0, "iv": 0.8486, "open_interest": 1.0, "volume": 0.0, "delta": -0.4659, "gamma": 0.0107, "vega": 0.1794, "theta": -0.0244, "rho": -0.2667, "theo": 23.756, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.87, "last_trade_time": "2026-07-30T13:48:40", "percent_change": 0.0, "prev_day_close": 24.1499996185303}, {"option": "DRAM270521C00066000", "bid": 10.55, "bid_size": 216.0, "ask": 12.7, "ask_size": 1066.0, "iv": 0.8731, "open_interest": 38.0, "volume": 0.0, "delta": 0.5344, "gamma": 0.0101, "vega": 0.1803, "theta": -0.0248, "rho": 0.1273, "theo": 11.2685, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.9, "last_trade_time": "2026-07-27T13:02:23", "percent_change": 0.0, "prev_day_close": 11.6500000953674}, {"option": "DRAM270521P00066000", "bid": 22.85, "bid_size": 199.0, "ask": 25.6, "ask_size": 227.0, "iv": 0.8382, "open_interest": 2.0, "volume": 0.0, "delta": -0.4742, "gamma": 0.0107, "vega": 0.1795, "theta": -0.0244, "rho": -0.2708, "theo": 24.4965, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.16, "last_trade_time": "2026-06-26T15:44:14", "percent_change": 0.0, "prev_day_close": 24.3500003814697}, {"option": "DRAM270521C00067000", "bid": 10.35, "bid_size": 202.0, "ask": 13.15, "ask_size": 1161.0, "iv": 0.8932, "open_interest": 23.0, "volume": 0.0, "delta": 0.5267, "gamma": 0.0101, "vega": 0.1806, "theta": -0.0249, "rho": 0.126, "theo": 11.0343, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.9, "last_trade_time": "2026-07-24T12:41:03", "percent_change": 0.0, "prev_day_close": 11.6750001907349}, {"option": "DRAM270521P00067000", "bid": 23.55, "bid_size": 199.0, "ask": 27.0, "ask_size": 290.0, "iv": 0.8553, "open_interest": 1.0, "volume": 0.0, "delta": -0.4824, "gamma": 0.0108, "vega": 0.1797, "theta": -0.0244, "rho": -0.2744, "theo": 25.2434, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.43, "last_trade_time": "2026-07-01T13:40:37", "percent_change": 0.0, "prev_day_close": 25.1000003814697}, {"option": "DRAM270521C00068000", "bid": 9.35, "bid_size": 809.0, "ask": 12.45, "ask_size": 1246.0, "iv": 0.8589, "open_interest": 22.0, "volume": 0.0, "delta": 0.5191, "gamma": 0.0101, "vega": 0.1808, "theta": -0.025, "rho": 0.1247, "theo": 10.8063, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.0, "last_trade_time": "2026-07-30T15:55:54", "percent_change": 0.0, "prev_day_close": 11.5250000953674}, {"option": "DRAM270521P00068000", "bid": 24.05, "bid_size": 186.0, "ask": 27.75, "ask_size": 275.0, "iv": 0.8483, "open_interest": 0.0, "volume": 0.0, "delta": -0.4904, "gamma": 0.0108, "vega": 0.1797, "theta": -0.0244, "rho": -0.2796, "theo": 25.9973, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.45, "last_trade_time": "2026-06-25T09:31:03", "percent_change": 0.0, "prev_day_close": 25.9250001907349}, {"option": "DRAM270521C00069000", "bid": 9.95, "bid_size": 773.0, "ask": 11.55, "ask_size": 1012.0, "iv": 0.8631, "open_interest": 483.0, "volume": 0.0, "delta": 0.5116, "gamma": 0.0101, "vega": 0.1809, "theta": -0.025, "rho": 0.1234, "theo": 10.5845, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.4, "last_trade_time": "2026-07-31T10:18:57", "percent_change": 0.0, "prev_day_close": 11.2000002861023}, {"option": "DRAM270521P00069000", "bid": 25.15, "bid_size": 173.0, "ask": 27.85, "ask_size": 207.0, "iv": 0.8396, "open_interest": 6.0, "volume": 0.0, "delta": -0.4984, "gamma": 0.0108, "vega": 0.1797, "theta": -0.0244, "rho": -0.284, "theo": 26.7577, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.95, "last_trade_time": "2026-07-21T14:19:52", "percent_change": 0.0, "prev_day_close": 26.5999994277954}, {"option": "DRAM270521C00070000", "bid": 9.35, "bid_size": 1047.0, "ask": 11.35, "ask_size": 1201.0, "iv": 0.8532, "open_interest": 100.0, "volume": 0.0, "delta": 0.5043, "gamma": 0.0101, "vega": 0.181, "theta": -0.0251, "rho": 0.1221, "theo": 10.3686, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 11.3, "last_trade_time": "2026-07-31T10:56:38", "percent_change": 0.0, "prev_day_close": 10.7249999046326}, {"option": "DRAM270521P00070000", "bid": 26.1, "bid_size": 135.0, "ask": 28.6, "ask_size": 204.0, "iv": 0.8445, "open_interest": 18.0, "volume": 0.0, "delta": -0.5063, "gamma": 0.0108, "vega": 0.1796, "theta": -0.0243, "rho": -0.2873, "theo": 27.524, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.9, "last_trade_time": "2026-07-02T12:27:15", "percent_change": 0.0, "prev_day_close": 27.6499996185303}, {"option": "DRAM270521C00071000", "bid": 8.7, "bid_size": 754.0, "ask": 11.55, "ask_size": 899.0, "iv": 0.8526, "open_interest": 31.0, "volume": 0.0, "delta": 0.497, "gamma": 0.0101, "vega": 0.181, "theta": -0.0251, "rho": 0.1207, "theo": 10.1585, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.7, "last_trade_time": "2026-07-28T09:30:01", "percent_change": 0.0, "prev_day_close": 10.5}, {"option": "DRAM270521P00071000", "bid": 27.3, "bid_size": 51.0, "ask": 30.0, "ask_size": 228.0, "iv": 0.8741, "open_interest": 12.0, "volume": 0.0, "delta": -0.514, "gamma": 0.0108, "vega": 0.1794, "theta": -0.0242, "rho": -0.2911, "theo": 28.2966, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 21.57, "last_trade_time": "2026-06-29T15:57:17", "percent_change": 0.0, "prev_day_close": 28.4250001907349}, {"option": "DRAM270521C00072000", "bid": 8.5, "bid_size": 774.0, "ask": 11.35, "ask_size": 1049.0, "iv": 0.8531, "open_interest": 5.0, "volume": 0.0, "delta": 0.4899, "gamma": 0.0101, "vega": 0.1809, "theta": -0.0251, "rho": 0.1194, "theo": 9.9539, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.63, "last_trade_time": "2026-07-02T11:06:09", "percent_change": 0.0, "prev_day_close": 10.3000001907349}, {"option": "DRAM270521P00072000", "bid": 27.9, "bid_size": 123.0, "ask": 30.65, "ask_size": 262.0, "iv": 0.8659, "open_interest": 0.0, "volume": 0.0, "delta": -0.5217, "gamma": 0.0109, "vega": 0.1792, "theta": -0.0242, "rho": -0.2949, "theo": 29.075, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 29.6499996185303}, {"option": "DRAM270521C00073000", "bid": 8.2, "bid_size": 968.0, "ask": 11.35, "ask_size": 1305.0, "iv": 0.8561, "open_interest": 8.0, "volume": 0.0, "delta": 0.4829, "gamma": 0.0101, "vega": 0.1808, "theta": -0.0252, "rho": 0.1182, "theo": 9.7547, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.0, "last_trade_time": "2026-07-27T15:38:17", "percent_change": 0.0, "prev_day_close": 10.0249996185303}, {"option": "DRAM270521P00073000", "bid": 27.45, "bid_size": 205.0, "ask": 31.45, "ask_size": 260.0, "iv": 0.8321, "open_interest": 9.0, "volume": 0.0, "delta": -0.5293, "gamma": 0.0109, "vega": 0.1788, "theta": -0.0241, "rho": -0.2982, "theo": 29.8589, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.6, "last_trade_time": "2026-07-24T15:27:50", "percent_change": 0.0, "prev_day_close": 30.2999992370606}, {"option": "DRAM270521C00074000", "bid": 7.7, "bid_size": 791.0, "ask": 10.95, "ask_size": 977.0, "iv": 0.8423, "open_interest": 15.0, "volume": 0.0, "delta": 0.476, "gamma": 0.0101, "vega": 0.1807, "theta": -0.0252, "rho": 0.1169, "theo": 9.5607, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 20.6, "last_trade_time": "2026-07-01T11:01:42", "percent_change": 0.0, "prev_day_close": 9.90000009536743}, {"option": "DRAM270521P00074000", "bid": 29.25, "bid_size": 121.0, "ask": 31.75, "ask_size": 197.0, "iv": 0.847, "open_interest": 0.0, "volume": 0.0, "delta": -0.5367, "gamma": 0.0109, "vega": 0.1784, "theta": -0.024, "rho": -0.3022, "theo": 30.6488, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 30.9249992370606}, {"option": "DRAM270521C00075000", "bid": 8.65, "bid_size": 244.0, "ask": 11.15, "ask_size": 1312.0, "iv": 0.8849, "open_interest": 130.0, "volume": 0.0, "delta": 0.4692, "gamma": 0.0101, "vega": 0.1805, "theta": -0.0252, "rho": 0.1157, "theo": 9.3716, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.0, "last_trade_time": "2026-07-28T14:11:35", "percent_change": 0.0, "prev_day_close": 9.69999980926514}, {"option": "DRAM270521P00075000", "bid": 29.85, "bid_size": 188.0, "ask": 33.15, "ask_size": 262.0, "iv": 0.8588, "open_interest": 3.0, "volume": 0.0, "delta": -0.544, "gamma": 0.0109, "vega": 0.178, "theta": -0.0239, "rho": -0.3048, "theo": 31.444, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.68, "last_trade_time": "2026-06-25T10:17:47", "percent_change": 0.0, "prev_day_close": 31.625}, {"option": "DRAM270521C00076000", "bid": 7.8, "bid_size": 767.0, "ask": 10.75, "ask_size": 1266.0, "iv": 0.8608, "open_interest": 12.0, "volume": 0.0, "delta": 0.4625, "gamma": 0.01, "vega": 0.1803, "theta": -0.0252, "rho": 0.1145, "theo": 9.1873, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.81, "last_trade_time": "2026-07-13T12:26:51", "percent_change": 0.0, "prev_day_close": 9.75}, {"option": "DRAM270521P00076000", "bid": 30.6, "bid_size": 197.0, "ask": 33.95, "ask_size": 272.0, "iv": 0.8577, "open_interest": 1.0, "volume": 0.0, "delta": -0.5513, "gamma": 0.0109, "vega": 0.1775, "theta": -0.0238, "rho": -0.3088, "theo": 32.2445, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.99, "last_trade_time": "2026-06-25T10:57:33", "percent_change": 0.0, "prev_day_close": 32.4500007629394}, {"option": "DRAM270521C00077000", "bid": 7.55, "bid_size": 824.0, "ask": 10.35, "ask_size": 1148.0, "iv": 0.8531, "open_interest": 10.0, "volume": 0.0, "delta": 0.456, "gamma": 0.01, "vega": 0.18, "theta": -0.0252, "rho": 0.1132, "theo": 9.0078, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.42, "last_trade_time": "2026-07-17T09:50:52", "percent_change": 0.0, "prev_day_close": 9.6749997138977}, {"option": "DRAM270521P00077000", "bid": 30.65, "bid_size": 231.0, "ask": 34.45, "ask_size": 209.0, "iv": 0.8279, "open_interest": 0.0, "volume": 0.0, "delta": -0.5584, "gamma": 0.0109, "vega": 0.1771, "theta": -0.0237, "rho": -0.3107, "theo": 33.0498, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 33.1750001907349}, {"option": "DRAM270521C00078000", "bid": 7.4, "bid_size": 800.0, "ask": 10.2, "ask_size": 1013.0, "iv": 0.8548, "open_interest": 0.0, "volume": 0.0, "delta": 0.4495, "gamma": 0.01, "vega": 0.1796, "theta": -0.0252, "rho": 0.1119, "theo": 8.8329, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 9.125}, {"option": "DRAM270521P00078000", "bid": 31.8, "bid_size": 204.0, "ask": 35.55, "ask_size": 255.0, "iv": 0.8461, "open_interest": 0.0, "volume": 0.0, "delta": -0.5654, "gamma": 0.0109, "vega": 0.1764, "theta": -0.0236, "rho": -0.315, "theo": 33.8603, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 34.0499992370606}, {"option": "DRAM270521C00079000", "bid": 7.2, "bid_size": 1458.0, "ask": 9.65, "ask_size": 936.0, "iv": 0.8437, "open_interest": 7.0, "volume": 0.0, "delta": 0.4431, "gamma": 0.01, "vega": 0.1792, "theta": -0.0251, "rho": 0.1107, "theo": 8.6624, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.1, "last_trade_time": "2026-07-30T10:24:27", "percent_change": 0.0, "prev_day_close": 8.875}, {"option": "DRAM270521P00079000", "bid": 32.95, "bid_size": 515.0, "ask": 35.7, "ask_size": 462.0, "iv": 0.837, "open_interest": 0.0, "volume": 0.0, "delta": -0.5724, "gamma": 0.0109, "vega": 0.1757, "theta": -0.0235, "rho": -0.3181, "theo": 34.6758, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 34.7749996185303}, {"option": "DRAM270521C00080000", "bid": 7.75, "bid_size": 869.0, "ask": 9.6, "ask_size": 1359.0, "iv": 0.8673, "open_interest": 131.0, "volume": 7.0, "delta": 0.4368, "gamma": 0.01, "vega": 0.1788, "theta": -0.0251, "rho": 0.1094, "theo": 8.4964, "change": -1.275, "open": 7.93, "high": 7.93, "low": 7.45, "tick": "down", "last_trade_price": 7.45, "last_trade_time": "2026-08-03T12:40:26", "percent_change": -14.6132, "prev_day_close": 8.72500014305115}, {"option": "DRAM270521P00080000", "bid": 34.55, "bid_size": 268.0, "ask": 36.5, "ask_size": 437.0, "iv": 0.859, "open_interest": 0.0, "volume": 0.0, "delta": -0.5792, "gamma": 0.0109, "vega": 0.1752, "theta": -0.0234, "rho": -0.3213, "theo": 35.4955, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 35.5999984741211}, {"option": "DRAM270521C00081000", "bid": 6.85, "bid_size": 1443.0, "ask": 9.3, "ask_size": 947.0, "iv": 0.8431, "open_interest": 50.0, "volume": 0.0, "delta": 0.4307, "gamma": 0.0099, "vega": 0.1783, "theta": -0.0251, "rho": 0.1081, "theo": 8.3346, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.5, "last_trade_time": "2026-07-14T15:05:23", "percent_change": 0.0, "prev_day_close": 8.64999985694885}, {"option": "DRAM270521P00081000", "bid": 34.7, "bid_size": 498.0, "ask": 37.3, "ask_size": 440.0, "iv": 0.8393, "open_interest": 0.0, "volume": 0.0, "delta": -0.5859, "gamma": 0.0109, "vega": 0.1743, "theta": -0.0232, "rho": -0.3234, "theo": 36.3202, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.8500003814697}, {"option": "DRAM270521C00082000", "bid": 6.7, "bid_size": 813.0, "ask": 10.0, "ask_size": 1323.0, "iv": 0.8678, "open_interest": 5.0, "volume": 0.0, "delta": 0.4246, "gamma": 0.0099, "vega": 0.1778, "theta": -0.025, "rho": 0.1069, "theo": 8.1769, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 23.0, "last_trade_time": "2026-06-26T13:55:49", "percent_change": 0.0, "prev_day_close": 8.40000009536743}, {"option": "DRAM270521P00082000", "bid": 35.55, "bid_size": 213.0, "ask": 38.85, "ask_size": 268.0, "iv": 0.861, "open_interest": 9.0, "volume": 0.0, "delta": -0.5926, "gamma": 0.0109, "vega": 0.1736, "theta": -0.0231, "rho": -0.3258, "theo": 37.1491, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 33.0, "last_trade_time": "2026-07-02T11:49:38", "percent_change": 0.0, "prev_day_close": 37.6000003814697}, {"option": "DRAM270521C00083000", "bid": 6.65, "bid_size": 790.0, "ask": 10.0, "ask_size": 1351.0, "iv": 0.8755, "open_interest": 3.0, "volume": 0.0, "delta": 0.4187, "gamma": 0.0099, "vega": 0.1772, "theta": -0.025, "rho": 0.1057, "theo": 8.0232, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.3, "last_trade_time": "2026-07-14T12:43:57", "percent_change": 0.0, "prev_day_close": 8.32499980926514}, {"option": "DRAM270521P00083000", "bid": 35.6, "bid_size": 202.0, "ask": 39.7, "ask_size": 222.0, "iv": 0.8392, "open_interest": 0.0, "volume": 0.0, "delta": -0.5991, "gamma": 0.0108, "vega": 0.1728, "theta": -0.023, "rho": -0.3288, "theo": 37.9822, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.1749992370606}, {"option": "DRAM270521C00084000", "bid": 6.35, "bid_size": 959.0, "ask": 9.15, "ask_size": 1046.0, "iv": 0.8519, "open_interest": 1.0, "volume": 0.0, "delta": 0.4128, "gamma": 0.0098, "vega": 0.1767, "theta": -0.0249, "rho": 0.1045, "theo": 7.8733, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.57, "last_trade_time": "2026-07-21T13:44:11", "percent_change": 0.0, "prev_day_close": 8.125}, {"option": "DRAM270521P00084000", "bid": 37.3, "bid_size": 166.0, "ask": 40.55, "ask_size": 259.0, "iv": 0.865, "open_interest": 5.0, "volume": 0.0, "delta": -0.6056, "gamma": 0.0108, "vega": 0.1718, "theta": -0.0228, "rho": -0.3304, "theo": 38.8196, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 42.5, "last_trade_time": "2026-07-28T10:17:22", "percent_change": 0.0, "prev_day_close": 38.8249988555908}, {"option": "DRAM270521C00085000", "bid": 6.95, "bid_size": 223.0, "ask": 9.05, "ask_size": 1017.0, "iv": 0.8748, "open_interest": 19.0, "volume": 0.0, "delta": 0.4071, "gamma": 0.0098, "vega": 0.1761, "theta": -0.0249, "rho": 0.1033, "theo": 7.7271, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.57, "last_trade_time": "2026-07-30T09:38:50", "percent_change": 0.0, "prev_day_close": 8.0}, {"option": "DRAM270521P00085000", "bid": 38.15, "bid_size": 149.0, "ask": 41.4, "ask_size": 237.0, "iv": 0.866, "open_interest": 0.0, "volume": 0.0, "delta": -0.6119, "gamma": 0.0108, "vega": 0.1709, "theta": -0.0227, "rho": -0.3334, "theo": 39.6613, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 39.75}, {"option": "DRAM270521C00086000", "bid": 6.85, "bid_size": 204.0, "ask": 9.05, "ask_size": 977.0, "iv": 0.8805, "open_interest": 2.0, "volume": 0.0, "delta": 0.4014, "gamma": 0.0097, "vega": 0.1755, "theta": -0.0248, "rho": 0.1022, "theo": 7.5845, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.23, "last_trade_time": "2026-06-25T10:17:47", "percent_change": 0.0, "prev_day_close": 8.0499997138977}, {"option": "DRAM270521P00086000", "bid": 39.25, "bid_size": 43.0, "ask": 41.5, "ask_size": 142.0, "iv": 0.8519, "open_interest": 8.0, "volume": 0.0, "delta": -0.6182, "gamma": 0.0108, "vega": 0.17, "theta": -0.0225, "rho": -0.3348, "theo": 40.5067, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 36.1, "last_trade_time": "2026-07-02T11:49:31", "percent_change": 0.0, "prev_day_close": 40.6000003814697}, {"option": "DRAM270521C00087000", "bid": 5.95, "bid_size": 832.0, "ask": 8.8, "ask_size": 1193.0, "iv": 0.8561, "open_interest": 0.0, "volume": 0.0, "delta": 0.3959, "gamma": 0.0097, "vega": 0.1749, "theta": -0.0247, "rho": 0.101, "theo": 7.4453, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.95000004768372}, {"option": "DRAM270521P00087000", "bid": 39.1, "bid_size": 217.0, "ask": 43.1, "ask_size": 219.0, "iv": 0.8449, "open_interest": 0.0, "volume": 0.0, "delta": -0.6244, "gamma": 0.0108, "vega": 0.1689, "theta": -0.0223, "rho": -0.3371, "theo": 41.3562, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 41.4500007629394}, {"option": "DRAM270521C00088000", "bid": 5.85, "bid_size": 859.0, "ask": 8.65, "ask_size": 1007.0, "iv": 0.8571, "open_interest": 0.0, "volume": 0.0, "delta": 0.3904, "gamma": 0.0097, "vega": 0.1742, "theta": -0.0247, "rho": 0.0999, "theo": 7.3095, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 7.90000009536743}, {"option": "DRAM270521P00088000", "bid": 39.95, "bid_size": 234.0, "ask": 43.95, "ask_size": 143.0, "iv": 0.845, "open_interest": 0.0, "volume": 0.0, "delta": -0.6305, "gamma": 0.0108, "vega": 0.1682, "theta": -0.0222, "rho": -0.3397, "theo": 42.2091, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 42.2999992370606}, {"option": "DRAM270521C00089000", "bid": 5.7, "bid_size": 897.0, "ask": 8.3, "ask_size": 1039.0, "iv": 0.8507, "open_interest": 9.0, "volume": 0.0, "delta": 0.385, "gamma": 0.0096, "vega": 0.1736, "theta": -0.0246, "rho": 0.0988, "theo": 7.177, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.55, "last_trade_time": "2026-07-02T12:29:42", "percent_change": 0.0, "prev_day_close": 7.34999990463257}, {"option": "DRAM270521P00089000", "bid": 40.7, "bid_size": 151.0, "ask": 44.8, "ask_size": 193.0, "iv": 0.8419, "open_interest": 4.0, "volume": 0.0, "delta": -0.6364, "gamma": 0.0107, "vega": 0.1669, "theta": -0.022, "rho": -0.341, "theo": 43.0658, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.1, "last_trade_time": "2026-06-30T15:16:51", "percent_change": 0.0, "prev_day_close": 43.1749992370606}, {"option": "DRAM270521C00090000", "bid": 5.55, "bid_size": 897.0, "ask": 8.35, "ask_size": 1326.0, "iv": 0.8557, "open_interest": 143.0, "volume": 0.0, "delta": 0.3797, "gamma": 0.0096, "vega": 0.1728, "theta": -0.0245, "rho": 0.0976, "theo": 7.0477, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.41, "last_trade_time": "2026-07-24T13:18:26", "percent_change": 0.0, "prev_day_close": 7.10000014305115}, {"option": "DRAM270521P00090000", "bid": 43.05, "bid_size": 30.0, "ask": 45.65, "ask_size": 114.0, "iv": 0.8868, "open_interest": 2.0, "volume": 0.0, "delta": -0.6424, "gamma": 0.0107, "vega": 0.1659, "theta": -0.0218, "rho": -0.3432, "theo": 43.9261, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 37.3, "last_trade_time": "2026-07-09T12:02:44", "percent_change": 0.0, "prev_day_close": 44.4500007629394}, {"option": "DRAM270521C00095000", "bid": 5.8, "bid_size": 713.0, "ask": 7.45, "ask_size": 1331.0, "iv": 0.8742, "open_interest": 8.0, "volume": 0.0, "delta": 0.3546, "gamma": 0.0093, "vega": 0.1689, "theta": -0.0241, "rho": 0.092, "theo": 6.4466, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.38, "last_trade_time": "2026-07-30T10:16:23", "percent_change": 0.0, "prev_day_close": 6.875}, {"option": "DRAM270521P00095000", "bid": 46.6, "bid_size": 440.0, "ask": 49.25, "ask_size": 369.0, "iv": 0.8414, "open_interest": 0.0, "volume": 0.0, "delta": -0.6706, "gamma": 0.0106, "vega": 0.1604, "theta": -0.021, "rho": -0.3489, "theo": 48.277, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 48.6749992370606}, {"option": "DRAM270521C00100000", "bid": 5.25, "bid_size": 802.0, "ask": 7.35, "ask_size": 1600.0, "iv": 0.8893, "open_interest": 167.0, "volume": 100.0, "delta": 0.3316, "gamma": 0.0091, "vega": 0.1647, "theta": -0.0236, "rho": 0.0869, "theo": 5.913, "change": -1.375, "open": 5.1, "high": 5.1, "low": 5.1, "tick": "down", "last_trade_price": 5.1, "last_trade_time": "2026-08-03T09:42:49", "percent_change": -21.2355, "prev_day_close": 6.47499990463257}, {"option": "DRAM270521P00100000", "bid": 51.3, "bid_size": 447.0, "ask": 53.7, "ask_size": 468.0, "iv": 0.8526, "open_interest": 0.0, "volume": 0.0, "delta": -0.6969, "gamma": 0.0104, "vega": 0.1539, "theta": -0.02, "rho": -0.3535, "theo": 52.7038, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 52.5}, {"option": "DRAM270521C00105000", "bid": 3.95, "bid_size": 1434.0, "ask": 6.5, "ask_size": 1442.0, "iv": 0.8549, "open_interest": 59.0, "volume": 0.0, "delta": 0.3104, "gamma": 0.0088, "vega": 0.1602, "theta": -0.023, "rho": 0.0821, "theo": 5.4373, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 6.0, "last_trade_time": "2026-07-30T11:46:24", "percent_change": 0.0, "prev_day_close": 5.59999990463257}, {"option": "DRAM270521P00105000", "bid": 56.4, "bid_size": 173.0, "ask": 58.15, "ask_size": 262.0, "iv": 0.8736, "open_interest": 0.0, "volume": 0.0, "delta": -0.7214, "gamma": 0.0103, "vega": 0.1474, "theta": -0.019, "rho": -0.356, "theo": 57.1964, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 57.7250003814697}, {"option": "DRAM270521C00110000", "bid": 4.3, "bid_size": 241.0, "ask": 7.0, "ask_size": 1391.0, "iv": 0.9112, "open_interest": 28.0, "volume": 0.0, "delta": 0.291, "gamma": 0.0085, "vega": 0.1555, "theta": -0.0224, "rho": 0.0774, "theo": 5.0127, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.7, "last_trade_time": "2026-07-30T09:33:27", "percent_change": 0.0, "prev_day_close": 5.57500004768372}, {"option": "DRAM270521P00110000", "bid": 59.7, "bid_size": 32.0, "ask": 63.5, "ask_size": 30.0, "iv": 0.8601, "open_interest": 0.0, "volume": 0.0, "delta": -0.7443, "gamma": 0.0101, "vega": 0.1405, "theta": -0.018, "rho": -0.354, "theo": 61.747, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 61.875}, {"option": "DRAM270521C00115000", "bid": 3.95, "bid_size": 247.0, "ask": 6.3, "ask_size": 1425.0, "iv": 0.9054, "open_interest": 35.0, "volume": 0.0, "delta": 0.2731, "gamma": 0.0082, "vega": 0.1509, "theta": -0.0218, "rho": 0.0732, "theo": 4.6324, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.7, "last_trade_time": "2026-07-28T15:27:56", "percent_change": 0.0, "prev_day_close": 5.22499990463257}, {"option": "DRAM270521P00115000", "bid": 64.0, "bid_size": 6.0, "ask": 68.1, "ask_size": 2.0, "iv": 0.8807, "open_interest": 1.0, "volume": 0.0, "delta": -0.7656, "gamma": 0.0099, "vega": 0.1332, "theta": -0.0169, "rho": -0.3511, "theo": 66.3493, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 71.3, "last_trade_time": "2026-07-29T12:33:26", "percent_change": 0.0, "prev_day_close": 66.3000030517578}, {"option": "DRAM270521C00122000", "bid": 3.55, "bid_size": 825.0, "ask": 5.7, "ask_size": 1961.0, "iv": 0.9081, "open_interest": 433.0, "volume": 0.0, "delta": 0.2505, "gamma": 0.0079, "vega": 0.1444, "theta": -0.021, "rho": 0.0678, "theo": 4.1631, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.54, "last_trade_time": "2026-07-31T10:08:31", "percent_change": 0.0, "prev_day_close": 4.80000007152557}, {"option": "DRAM270521P00122000", "bid": 71.3, "bid_size": 30.0, "ask": 74.6, "ask_size": 30.0, "iv": 0.8832, "open_interest": 0.0, "volume": 0.0, "delta": -0.7932, "gamma": 0.0097, "vega": 0.1232, "theta": -0.0154, "rho": -0.3439, "theo": 72.8677, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 72.7750015258789}, {"option": "DRAM270617C00020000", "bid": 31.5, "bid_size": 759.0, "ask": 34.7, "ask_size": 560.0, "iv": 0.8879, "open_interest": 295.0, "volume": 0.0, "delta": 0.9392, "gamma": 0.0027, "vega": 0.055, "theta": -0.0031, "rho": 0.1276, "theo": 33.1656, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 37.5, "last_trade_time": "2026-07-31T09:32:04", "percent_change": 0.0, "prev_day_close": 33.6000003814697}, {"option": "DRAM270617P00020000", "bid": 0.75, "bid_size": 2229.0, "ask": 1.69, "ask_size": 783.0, "iv": 0.8432, "open_interest": 308.0, "volume": 165.0, "delta": -0.0576, "gamma": 0.0027, "vega": 0.0552, "theta": -0.0076, "rho": -0.0355, "theo": 1.5195, "change": 0.12, "open": 1.58, "high": 1.62, "low": 1.58, "tick": "down", "last_trade_price": 1.6, "last_trade_time": "2026-08-03T11:48:43", "percent_change": 8.10811, "prev_day_close": 1.48000001907349}, {"option": "DRAM270617C00021000", "bid": 30.65, "bid_size": 94.0, "ask": 34.0, "ask_size": 14.0, "iv": 0.8815, "open_interest": 28.0, "volume": 1.0, "delta": 0.9327, "gamma": 0.0029, "vega": 0.0598, "theta": -0.0038, "rho": 0.1315, "theo": 32.406, "change": -0.85, "open": 32.0, "high": 32.0, "low": 32.0, "tick": "down", "last_trade_price": 32.0, "last_trade_time": "2026-08-03T12:07:09", "percent_change": -2.58752, "prev_day_close": 32.8500003814697}, {"option": "DRAM270617P00021000", "bid": 1.46, "bid_size": 613.0, "ask": 1.94, "ask_size": 666.0, "iv": 0.8914, "open_interest": 5.0, "volume": 0.0, "delta": -0.0642, "gamma": 0.003, "vega": 0.0601, "theta": -0.0082, "rho": -0.0396, "theo": 1.7229, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 1.98, "last_trade_time": "2026-07-16T13:41:36", "percent_change": 0.0, "prev_day_close": 1.68999999761581}, {"option": "DRAM270617C00022000", "bid": 29.95, "bid_size": 125.0, "ask": 33.35, "ask_size": 15.0, "iv": 0.8891, "open_interest": 36.0, "volume": 0.0, "delta": 0.9259, "gamma": 0.0032, "vega": 0.0646, "theta": -0.0046, "rho": 0.1352, "theo": 31.6617, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 35.85, "last_trade_time": "2026-07-24T10:11:48", "percent_change": 0.0, "prev_day_close": 32.3249988555908}, {"option": "DRAM270617P00022000", "bid": 1.68, "bid_size": 501.0, "ask": 2.16, "ask_size": 577.0, "iv": 0.8875, "open_interest": 52.0, "volume": 0.0, "delta": -0.071, "gamma": 0.0032, "vega": 0.0651, "theta": -0.0089, "rho": -0.044, "theo": 1.9421, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 2.45, "last_trade_time": "2026-07-28T09:49:34", "percent_change": 0.0, "prev_day_close": 1.94499999284744}, {"option": "DRAM270617C00023000", "bid": 29.0, "bid_size": 92.0, "ask": 32.4, "ask_size": 84.0, "iv": 0.8527, "open_interest": 20.0, "volume": 0.0, "delta": 0.9188, "gamma": 0.0034, "vega": 0.0695, "theta": -0.0053, "rho": 0.1387, "theo": 30.9327, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 38.2, "last_trade_time": "2026-07-22T14:37:53", "percent_change": 0.0, "prev_day_close": 31.4249992370606}, {"option": "DRAM270617P00023000", "bid": 1.92, "bid_size": 612.0, "ask": 2.38, "ask_size": 748.0, "iv": 0.8831, "open_interest": 117.0, "volume": 0.0, "delta": -0.0782, "gamma": 0.0035, "vega": 0.0698, "theta": -0.0095, "rho": -0.0485, "theo": 2.1767, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 2.24, "last_trade_time": "2026-07-31T09:55:15", "percent_change": 0.0, "prev_day_close": 2.18500006198883}, {"option": "DRAM270617C00024000", "bid": 29.55, "bid_size": 86.0, "ask": 30.95, "ask_size": 6.0, "iv": 0.8875, "open_interest": 47.0, "volume": 3.0, "delta": 0.9114, "gamma": 0.0037, "vega": 0.0743, "theta": -0.006, "rho": 0.1418, "theo": 30.219, "change": -1.05, "open": 29.35, "high": 29.35, "low": 29.35, "tick": "up", "last_trade_price": 29.35, "last_trade_time": "2026-08-03T11:41:17", "percent_change": -3.45395, "prev_day_close": 30.3999996185303}, {"option": "DRAM270617P00024000", "bid": 2.17, "bid_size": 414.0, "ask": 2.63, "ask_size": 644.0, "iv": 0.8798, "open_interest": 6.0, "volume": 0.0, "delta": -0.0857, "gamma": 0.0037, "vega": 0.0748, "theta": -0.0101, "rho": -0.0532, "theo": 2.4264, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 4.28, "last_trade_time": "2026-04-14T09:51:38", "percent_change": 0.0, "prev_day_close": 2.2600000500679}, {"option": "DRAM270617C00025000", "bid": 27.7, "bid_size": 1325.0, "ask": 31.05, "ask_size": 1025.0, "iv": 0.8614, "open_interest": 1672.0, "volume": 8.0, "delta": 0.9038, "gamma": 0.0039, "vega": 0.0792, "theta": -0.0068, "rho": 0.1447, "theo": 29.5207, "change": -1.1, "open": 27.2, "high": 29.5, "low": 27.2, "tick": "down", "last_trade_price": 28.95, "last_trade_time": "2026-08-03T11:56:29", "percent_change": -3.66057, "prev_day_close": 30.0500001907349}, {"option": "DRAM270617P00025000", "bid": 2.41, "bid_size": 678.0, "ask": 2.91, "ask_size": 922.0, "iv": 0.876, "open_interest": 658.0, "volume": 3.0, "delta": -0.0934, "gamma": 0.004, "vega": 0.0798, "theta": -0.0107, "rho": -0.0581, "theo": 2.6917, "change": 0.335, "open": 3.0, "high": 3.0, "low": 3.0, "tick": "up", "last_trade_price": 3.0, "last_trade_time": "2026-08-03T09:30:38", "percent_change": 12.5704, "prev_day_close": 2.66499996185303}, {"option": "DRAM270617C00026000", "bid": 26.85, "bid_size": 79.0, "ask": 30.4, "ask_size": 80.0, "iv": 0.8512, "open_interest": 7.0, "volume": 1.0, "delta": 0.896, "gamma": 0.0042, "vega": 0.0841, "theta": -0.0075, "rho": 0.1473, "theo": 28.8378, "change": 0.67, "open": 29.27, "high": 29.27, "low": 29.27, "tick": "down", "last_trade_price": 29.27, "last_trade_time": "2026-08-03T13:53:35", "percent_change": 2.34266, "prev_day_close": 28.5999994277954}, {"option": "DRAM270617P00026000", "bid": 2.53, "bid_size": 933.0, "ask": 3.15, "ask_size": 809.0, "iv": 0.861, "open_interest": 2065.0, "volume": 0.0, "delta": -0.1013, "gamma": 0.0043, "vega": 0.0848, "theta": -0.0114, "rho": -0.0633, "theo": 2.9734, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.04, "last_trade_time": "2026-07-31T09:53:08", "percent_change": 0.0, "prev_day_close": 3.20500004291534}, {"option": "DRAM270617C00027000", "bid": 26.5, "bid_size": 499.0, "ask": 30.0, "ask_size": 562.0, "iv": 0.883, "open_interest": 30.0, "volume": 0.0, "delta": 0.888, "gamma": 0.0044, "vega": 0.0889, "theta": -0.0082, "rho": 0.1497, "theo": 28.1705, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 24.45, "last_trade_time": "2026-07-29T10:47:54", "percent_change": 0.0, "prev_day_close": 28.625}, {"option": "DRAM270617P00027000", "bid": 2.84, "bid_size": 650.0, "ask": 3.45, "ask_size": 463.0, "iv": 0.8599, "open_interest": 2.0, "volume": 1.0, "delta": -0.1095, "gamma": 0.0045, "vega": 0.0895, "theta": -0.012, "rho": -0.0684, "theo": 3.2704, "change": -0.21, "open": 3.2, "high": 3.2, "low": 3.2, "tick": "up", "last_trade_price": 3.2, "last_trade_time": "2026-08-03T10:09:42", "percent_change": -6.15836, "prev_day_close": 3.4099999666214}, {"option": "DRAM270617C00028000", "bid": 25.75, "bid_size": 577.0, "ask": 29.1, "ask_size": 614.0, "iv": 0.8614, "open_interest": 44.0, "volume": 0.0, "delta": 0.8797, "gamma": 0.0047, "vega": 0.0936, "theta": -0.009, "rho": 0.1519, "theo": 27.5183, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 34.0, "last_trade_time": "2026-07-15T15:46:23", "percent_change": 0.0, "prev_day_close": 28.0500001907349}, {"option": "DRAM270617P00028000", "bid": 3.3, "bid_size": 10.0, "ask": 3.8, "ask_size": 660.0, "iv": 0.8679, "open_interest": 4.0, "volume": 1.0, "delta": -0.1179, "gamma": 0.0048, "vega": 0.0943, "theta": -0.0126, "rho": -0.0738, "theo": 3.5826, "change": -0.34, "open": 3.4, "high": 3.4, "low": 3.4, "tick": "down", "last_trade_price": 3.4, "last_trade_time": "2026-08-03T15:46:23", "percent_change": -9.09091, "prev_day_close": 3.74000000953674}, {"option": "DRAM270617C00029000", "bid": 25.9, "bid_size": 563.0, "ask": 27.6, "ask_size": 257.0, "iv": 0.8556, "open_interest": 136.0, "volume": 0.0, "delta": 0.8713, "gamma": 0.0049, "vega": 0.0983, "theta": -0.0097, "rho": 0.1537, "theo": 26.8813, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.05, "last_trade_time": "2026-07-20T11:37:45", "percent_change": 0.0, "prev_day_close": 26.9249992370605}, {"option": "DRAM270617P00029000", "bid": 3.5, "bid_size": 853.0, "ask": 4.0, "ask_size": 236.0, "iv": 0.8527, "open_interest": 207.0, "volume": 70.0, "delta": -0.1265, "gamma": 0.005, "vega": 0.0992, "theta": -0.0132, "rho": -0.0793, "theo": 3.9103, "change": -0.6, "open": 3.8, "high": 3.8, "low": 3.65, "tick": "up", "last_trade_price": 3.7, "last_trade_time": "2026-08-03T15:44:58", "percent_change": -13.9535, "prev_day_close": 4.29999995231628}, {"option": "DRAM270617C00030000", "bid": 24.25, "bid_size": 1428.0, "ask": 27.75, "ask_size": 1343.0, "iv": 0.8414, "open_interest": 2982.0, "volume": 7.0, "delta": 0.8627, "gamma": 0.0052, "vega": 0.103, "theta": -0.0103, "rho": 0.1554, "theo": 26.2595, "change": -0.825, "open": 24.6, "high": 25.45, "low": 24.27, "tick": "up", "last_trade_price": 25.45, "last_trade_time": "2026-08-03T11:10:24", "percent_change": -3.13987, "prev_day_close": 26.2750005722046}, {"option": "DRAM270617P00030000", "bid": 4.0, "bid_size": 10.0, "ask": 4.5, "ask_size": 649.0, "iv": 0.8664, "open_interest": 1256.0, "volume": 350.0, "delta": -0.1353, "gamma": 0.0053, "vega": 0.1039, "theta": -0.0137, "rho": -0.085, "theo": 4.2541, "change": -0.3, "open": 4.75, "high": 4.75, "low": 4.05, "tick": "down", "last_trade_price": 4.05, "last_trade_time": "2026-08-03T15:38:26", "percent_change": -6.89655, "prev_day_close": 4.34999990463257}, {"option": "DRAM270617C00031000", "bid": 23.85, "bid_size": 375.0, "ask": 27.5, "ask_size": 238.0, "iv": 0.8668, "open_interest": 35.0, "volume": 0.0, "delta": 0.854, "gamma": 0.0054, "vega": 0.1075, "theta": -0.011, "rho": 0.1568, "theo": 25.6528, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 28.89, "last_trade_time": "2026-07-31T09:43:09", "percent_change": 0.0, "prev_day_close": 26.2750005722046}, {"option": "DRAM270617P00031000", "bid": 4.3, "bid_size": 1.0, "ask": 4.85, "ask_size": 835.0, "iv": 0.8612, "open_interest": 143.0, "volume": 3.0, "delta": -0.1442, "gamma": 0.0056, "vega": 0.1084, "theta": -0.0143, "rho": -0.0906, "theo": 4.613, "change": 0.0, "open": 5.0, "high": 5.0, "low": 5.0, "tick": "no_change", "last_trade_price": 5.0, "last_trade_time": "2026-08-03T10:15:54", "percent_change": 0.0, "prev_day_close": 5.0}, {"option": "DRAM270617C00032000", "bid": 24.05, "bid_size": 938.0, "ask": 26.15, "ask_size": 705.0, "iv": 0.8664, "open_interest": 583.0, "volume": 2.0, "delta": 0.8452, "gamma": 0.0057, "vega": 0.1119, "theta": -0.0117, "rho": 0.1582, "theo": 25.0608, "change": -1.05, "open": 23.9, "high": 24.5, "low": 23.9, "tick": "up", "last_trade_price": 24.5, "last_trade_time": "2026-08-03T11:56:09", "percent_change": -4.10959, "prev_day_close": 25.5500001907349}, {"option": "DRAM270617P00032000", "bid": 4.5, "bid_size": 594.0, "ask": 5.2, "ask_size": 513.0, "iv": 0.8507, "open_interest": 124.0, "volume": 0.0, "delta": -0.1532, "gamma": 0.0058, "vega": 0.1128, "theta": -0.0148, "rho": -0.0965, "theo": 4.9866, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.84, "last_trade_time": "2026-07-28T15:40:52", "percent_change": 0.0, "prev_day_close": 5.34999990463257}, {"option": "DRAM270617C00033000", "bid": 22.65, "bid_size": 653.0, "ask": 26.1, "ask_size": 793.0, "iv": 0.8518, "open_interest": 105.0, "volume": 0.0, "delta": 0.8362, "gamma": 0.0059, "vega": 0.1162, "theta": -0.0123, "rho": 0.1592, "theo": 24.4832, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 24.75, "last_trade_time": "2026-07-31T13:07:36", "percent_change": 0.0, "prev_day_close": 25.3000001907349}, {"option": "DRAM270617P00033000", "bid": 4.4, "bid_size": 1861.0, "ask": 5.55, "ask_size": 418.0, "iv": 0.8268, "open_interest": 8.0, "volume": 0.0, "delta": -0.1624, "gamma": 0.006, "vega": 0.1172, "theta": -0.0154, "rho": -0.1026, "theo": 5.3749, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.33, "last_trade_time": "2026-07-24T12:01:50", "percent_change": 0.0, "prev_day_close": 5.67499995231628}, {"option": "DRAM270617C00034000", "bid": 22.55, "bid_size": 663.0, "ask": 25.1, "ask_size": 731.0, "iv": 0.8516, "open_interest": 137.0, "volume": 0.0, "delta": 0.8271, "gamma": 0.0061, "vega": 0.1204, "theta": -0.0129, "rho": 0.1602, "theo": 23.92, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.2, "last_trade_time": "2026-07-29T11:15:44", "percent_change": 0.0, "prev_day_close": 24.4500007629395}, {"option": "DRAM270617P00034000", "bid": 4.1, "bid_size": 1963.0, "ask": 6.0, "ask_size": 953.0, "iv": 0.7992, "open_interest": 2115.0, "volume": 2.0, "delta": -0.1717, "gamma": 0.0063, "vega": 0.1215, "theta": -0.0159, "rho": -0.1084, "theo": 5.7782, "change": 0.16, "open": 5.95, "high": 6.06, "low": 5.95, "tick": "up", "last_trade_price": 6.06, "last_trade_time": "2026-08-03T12:27:50", "percent_change": 2.71186, "prev_day_close": 5.90000009536743}, {"option": "DRAM270617C00035000", "bid": 21.3, "bid_size": 979.0, "ask": 24.85, "ask_size": 850.0, "iv": 0.8342, "open_interest": 429.0, "volume": 9.0, "delta": 0.818, "gamma": 0.0063, "vega": 0.1245, "theta": -0.0136, "rho": 0.1608, "theo": 23.3712, "change": -0.875, "open": 21.28, "high": 23.0, "low": 21.28, "tick": "no_change", "last_trade_price": 23.0, "last_trade_time": "2026-08-03T12:44:18", "percent_change": -3.66492, "prev_day_close": 23.875}, {"option": "DRAM270617P00035000", "bid": 5.45, "bid_size": 1019.0, "ask": 6.25, "ask_size": 1.0, "iv": 0.8304, "open_interest": 855.0, "volume": 3.0, "delta": -0.1811, "gamma": 0.0065, "vega": 0.1256, "theta": -0.0164, "rho": -0.1147, "theo": 6.1967, "change": -0.025, "open": 6.3, "high": 6.3, "low": 6.25, "tick": "down", "last_trade_price": 6.25, "last_trade_time": "2026-08-03T12:43:37", "percent_change": -0.398408, "prev_day_close": 6.27500009536743}, {"option": "DRAM270617C00036000", "bid": 22.4, "bid_size": 504.0, "ask": 23.5, "ask_size": 344.0, "iv": 0.8656, "open_interest": 214.0, "volume": 6.0, "delta": 0.8088, "gamma": 0.0066, "vega": 0.1284, "theta": -0.0141, "rho": 0.1614, "theo": 22.8364, "change": -0.375, "open": 22.0, "high": 22.6, "low": 22.0, "tick": "up", "last_trade_price": 22.6, "last_trade_time": "2026-08-03T12:46:16", "percent_change": -1.63221, "prev_day_close": 22.9749994277954}, {"option": "DRAM270617P00036000", "bid": 5.4, "bid_size": 1909.0, "ask": 6.85, "ask_size": 710.0, "iv": 0.8178, "open_interest": 73.0, "volume": 0.0, "delta": -0.1905, "gamma": 0.0067, "vega": 0.1295, "theta": -0.0169, "rho": -0.1206, "theo": 6.6292, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.25, "last_trade_time": "2026-07-30T11:04:19", "percent_change": 0.0, "prev_day_close": 7.09999990463257}, {"option": "DRAM270617C00037000", "bid": 20.65, "bid_size": 737.0, "ask": 23.35, "ask_size": 679.0, "iv": 0.8317, "open_interest": 105.0, "volume": 1.0, "delta": 0.7995, "gamma": 0.0068, "vega": 0.1322, "theta": -0.0147, "rho": 0.1619, "theo": 22.3152, "change": -1.8, "open": 21.2, "high": 21.2, "low": 21.2, "tick": "down", "last_trade_price": 21.2, "last_trade_time": "2026-08-03T10:19:00", "percent_change": -7.82609, "prev_day_close": 23.0}, {"option": "DRAM270617P00037000", "bid": 6.4, "bid_size": 921.0, "ask": 7.7, "ask_size": 1626.0, "iv": 0.8536, "open_interest": 27.0, "volume": 2.0, "delta": -0.2, "gamma": 0.0069, "vega": 0.1334, "theta": -0.0174, "rho": -0.1267, "theo": 7.0753, "change": -0.625, "open": 6.9, "high": 6.9, "low": 6.75, "tick": "down", "last_trade_price": 6.75, "last_trade_time": "2026-08-03T15:46:36", "percent_change": -8.47457, "prev_day_close": 7.37499976158142}, {"option": "DRAM270617C00038000", "bid": 20.05, "bid_size": 770.0, "ask": 23.5, "ask_size": 717.0, "iv": 0.852, "open_interest": 219.0, "volume": 1.0, "delta": 0.7902, "gamma": 0.007, "vega": 0.1359, "theta": -0.0153, "rho": 0.1622, "theo": 21.8073, "change": -1.125, "open": 21.2, "high": 21.2, "low": 21.2, "tick": "down", "last_trade_price": 21.2, "last_trade_time": "2026-08-03T09:57:41", "percent_change": -5.03919, "prev_day_close": 22.3249998092651}, {"option": "DRAM270617P00038000", "bid": 6.65, "bid_size": 1066.0, "ask": 8.6, "ask_size": 2367.0, "iv": 0.861, "open_interest": 1488.0, "volume": 0.0, "delta": -0.2096, "gamma": 0.0072, "vega": 0.1371, "theta": -0.0178, "rho": -0.1331, "theo": 7.5351, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.2, "last_trade_time": "2026-07-30T12:28:38", "percent_change": 0.0, "prev_day_close": 7.94999980926514}, {"option": "DRAM270617C00039000", "bid": 19.5, "bid_size": 518.0, "ask": 22.25, "ask_size": 345.0, "iv": 0.822, "open_interest": 93.0, "volume": 0.0, "delta": 0.7809, "gamma": 0.0071, "vega": 0.1395, "theta": -0.0158, "rho": 0.1624, "theo": 21.3125, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.9, "last_trade_time": "2026-07-28T10:03:49", "percent_change": 0.0, "prev_day_close": 21.8249998092651}, {"option": "DRAM270617P00039000", "bid": 7.25, "bid_size": 947.0, "ask": 9.0, "ask_size": 2205.0, "iv": 0.8617, "open_interest": 130.0, "volume": 2.0, "delta": -0.2192, "gamma": 0.0074, "vega": 0.1407, "theta": -0.0182, "rho": -0.1391, "theo": 8.0084, "change": -0.625, "open": 7.75, "high": 7.75, "low": 7.65, "tick": "down", "last_trade_price": 7.65, "last_trade_time": "2026-08-03T15:48:42", "percent_change": -7.55287, "prev_day_close": 8.27500009536743}, {"option": "DRAM270617C00040000", "bid": 20.3, "bid_size": 779.0, "ask": 22.1, "ask_size": 1339.0, "iv": 0.8783, "open_interest": 3398.0, "volume": 31.0, "delta": 0.7716, "gamma": 0.0073, "vega": 0.1429, "theta": -0.0163, "rho": 0.1624, "theo": 20.8307, "change": 0.3, "open": 19.9, "high": 21.0, "low": 19.0, "tick": "up", "last_trade_price": 21.0, "last_trade_time": "2026-08-03T14:35:50", "percent_change": 1.44928, "prev_day_close": 20.6999998092651}, {"option": "DRAM270617P00040000", "bid": 7.15, "bid_size": 919.0, "ask": 9.55, "ask_size": 1535.0, "iv": 0.8424, "open_interest": 11628.0, "volume": 10.0, "delta": -0.2288, "gamma": 0.0076, "vega": 0.1443, "theta": -0.0186, "rho": -0.1456, "theo": 8.4958, "change": -0.36, "open": 8.5, "high": 8.5, "low": 8.24, "tick": "down", "last_trade_price": 8.24, "last_trade_time": "2026-08-03T15:44:33", "percent_change": -4.18605, "prev_day_close": 8.59999990463257}, {"option": "DRAM270617C00041000", "bid": 18.55, "bid_size": 749.0, "ask": 21.15, "ask_size": 574.0, "iv": 0.8167, "open_interest": 140.0, "volume": 0.0, "delta": 0.7622, "gamma": 0.0075, "vega": 0.1462, "theta": -0.0168, "rho": 0.1622, "theo": 20.3617, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.6, "last_trade_time": "2026-07-27T11:51:25", "percent_change": 0.0, "prev_day_close": 21.0500001907349}, {"option": "DRAM270617P00041000", "bid": 8.2, "bid_size": 929.0, "ask": 10.2, "ask_size": 2227.0, "iv": 0.8654, "open_interest": 118.0, "volume": 0.0, "delta": -0.2385, "gamma": 0.0078, "vega": 0.1475, "theta": -0.019, "rho": -0.1517, "theo": 8.9962, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 9.45, "last_trade_time": "2026-07-30T13:31:00", "percent_change": 0.0, "prev_day_close": 9.0}, {"option": "DRAM270617C00042000", "bid": 19.45, "bid_size": 279.0, "ask": 21.25, "ask_size": 743.0, "iv": 0.8807, "open_interest": 65.0, "volume": 0.0, "delta": 0.7529, "gamma": 0.0077, "vega": 0.1494, "theta": -0.0173, "rho": 0.1621, "theo": 19.9051, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.17, "last_trade_time": "2026-07-29T14:30:53", "percent_change": 0.0, "prev_day_close": 19.6500005722046}, {"option": "DRAM270617P00042000", "bid": 8.85, "bid_size": 654.0, "ask": 9.8, "ask_size": 577.0, "iv": 0.8386, "open_interest": 216.0, "volume": 0.0, "delta": -0.2482, "gamma": 0.0079, "vega": 0.1506, "theta": -0.0194, "rho": -0.1577, "theo": 9.5089, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 11.16, "last_trade_time": "2026-07-29T10:34:15", "percent_change": 0.0, "prev_day_close": 9.60000038146973}, {"option": "DRAM270617C00043000", "bid": 19.05, "bid_size": 837.0, "ask": 20.05, "ask_size": 466.0, "iv": 0.856, "open_interest": 3536.0, "volume": 1.0, "delta": 0.7436, "gamma": 0.0078, "vega": 0.1523, "theta": -0.0177, "rho": 0.1618, "theo": 19.4604, "change": -0.87, "open": 19.13, "high": 19.13, "low": 19.13, "tick": "down", "last_trade_price": 19.13, "last_trade_time": "2026-08-03T11:05:00", "percent_change": -4.35, "prev_day_close": 20.0}, {"option": "DRAM270617P00043000", "bid": 9.25, "bid_size": 959.0, "ask": 11.65, "ask_size": 2179.0, "iv": 0.8773, "open_interest": 218.0, "volume": 0.0, "delta": -0.2578, "gamma": 0.0081, "vega": 0.1536, "theta": -0.0198, "rho": -0.1643, "theo": 10.0339, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.3, "last_trade_time": "2026-07-30T15:13:15", "percent_change": 0.0, "prev_day_close": 10.3499999046326}, {"option": "DRAM270617C00044000", "bid": 18.25, "bid_size": 889.0, "ask": 19.8, "ask_size": 860.0, "iv": 0.8494, "open_interest": 382.0, "volume": 1.0, "delta": 0.7342, "gamma": 0.008, "vega": 0.1552, "theta": -0.0182, "rho": 0.1615, "theo": 19.0274, "change": -1.775, "open": 17.8, "high": 17.8, "low": 17.8, "tick": "up", "last_trade_price": 17.8, "last_trade_time": "2026-08-03T10:03:27", "percent_change": -9.06769, "prev_day_close": 19.5750007629395}, {"option": "DRAM270617P00044000", "bid": 9.8, "bid_size": 903.0, "ask": 11.75, "ask_size": 2323.0, "iv": 0.8626, "open_interest": 556.0, "volume": 0.0, "delta": -0.2674, "gamma": 0.0083, "vega": 0.1564, "theta": -0.0201, "rho": -0.1707, "theo": 10.5707, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.7, "last_trade_time": "2026-07-31T12:35:20", "percent_change": 0.0, "prev_day_close": 10.5749998092651}, {"option": "DRAM270617C00045000", "bid": 18.15, "bid_size": 556.0, "ask": 19.95, "ask_size": 1363.0, "iv": 0.8771, "open_interest": 1683.0, "volume": 104.0, "delta": 0.725, "gamma": 0.0081, "vega": 0.1579, "theta": -0.0186, "rho": 0.161, "theo": 18.6058, "change": -0.575, "open": 16.78, "high": 18.8, "low": 16.78, "tick": "up", "last_trade_price": 18.7, "last_trade_time": "2026-08-03T15:40:10", "percent_change": -2.98314, "prev_day_close": 19.2749996185303}, {"option": "DRAM270617P00045000", "bid": 9.75, "bid_size": 1903.0, "ask": 11.45, "ask_size": 1032.0, "iv": 0.8164, "open_interest": 187.0, "volume": 6.0, "delta": -0.277, "gamma": 0.0084, "vega": 0.1592, "theta": -0.0204, "rho": -0.1764, "theo": 11.1197, "change": -0.25, "open": 10.55, "high": 11.1, "low": 10.55, "tick": "up", "last_trade_price": 11.1, "last_trade_time": "2026-08-03T13:40:08", "percent_change": -2.20265, "prev_day_close": 11.3500003814697}, {"option": "DRAM270617C00046000", "bid": 17.75, "bid_size": 560.0, "ask": 19.4, "ask_size": 1288.0, "iv": 0.8721, "open_interest": 909.0, "volume": 0.0, "delta": 0.7158, "gamma": 0.0083, "vega": 0.1605, "theta": -0.019, "rho": 0.1604, "theo": 18.1955, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.6, "last_trade_time": "2026-07-31T10:06:01", "percent_change": 0.0, "prev_day_close": 19.0500001907349}, {"option": "DRAM270617P00046000", "bid": 10.35, "bid_size": 1814.0, "ask": 12.8, "ask_size": 1787.0, "iv": 0.8419, "open_interest": 138.0, "volume": 0.0, "delta": -0.2866, "gamma": 0.0086, "vega": 0.1618, "theta": -0.0207, "rho": -0.183, "theo": 11.6809, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.95, "last_trade_time": "2026-07-31T12:02:36", "percent_change": 0.0, "prev_day_close": 12.125}, {"option": "DRAM270617C00047000", "bid": 17.8, "bid_size": 4.0, "ask": 18.7, "ask_size": 821.0, "iv": 0.8759, "open_interest": 204.0, "volume": 0.0, "delta": 0.7066, "gamma": 0.0084, "vega": 0.163, "theta": -0.0193, "rho": 0.1597, "theo": 17.7962, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.2, "last_trade_time": "2026-07-31T15:16:07", "percent_change": 0.0, "prev_day_close": 18.5}, {"option": "DRAM270617P00047000", "bid": 9.95, "bid_size": 1388.0, "ask": 13.4, "ask_size": 959.0, "iv": 0.8129, "open_interest": 2690.0, "volume": 13.0, "delta": -0.2962, "gamma": 0.0087, "vega": 0.1642, "theta": -0.021, "rho": -0.189, "theo": 12.2536, "change": -0.075, "open": 12.45, "high": 12.5, "low": 12.05, "tick": "down", "last_trade_price": 12.05, "last_trade_time": "2026-08-03T13:44:19", "percent_change": -0.618557, "prev_day_close": 12.125}, {"option": "DRAM270617C00048000", "bid": 16.45, "bid_size": 1121.0, "ask": 18.0, "ask_size": 497.0, "iv": 0.8366, "open_interest": 455.0, "volume": 19.0, "delta": 0.6975, "gamma": 0.0085, "vega": 0.1653, "theta": -0.0197, "rho": 0.159, "theo": 17.4077, "change": -0.39, "open": 15.83, "high": 17.51, "low": 15.73, "tick": "up", "last_trade_price": 17.51, "last_trade_time": "2026-08-03T15:44:56", "percent_change": -2.17877, "prev_day_close": 17.9000005722046}, {"option": "DRAM270617P00048000", "bid": 11.9, "bid_size": 1076.0, "ask": 13.4, "ask_size": 968.0, "iv": 0.8364, "open_interest": 37.0, "volume": 0.0, "delta": -0.3056, "gamma": 0.0089, "vega": 0.1665, "theta": -0.0212, "rho": -0.1952, "theo": 12.8371, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.15, "last_trade_time": "2026-07-31T10:22:07", "percent_change": 0.0, "prev_day_close": 12.875}, {"option": "DRAM270617C00049000", "bid": 16.25, "bid_size": 619.0, "ask": 17.85, "ask_size": 579.0, "iv": 0.8485, "open_interest": 118.0, "volume": 0.0, "delta": 0.6884, "gamma": 0.0086, "vega": 0.1675, "theta": -0.02, "rho": 0.1583, "theo": 17.0296, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.73, "last_trade_time": "2026-07-31T15:34:15", "percent_change": 0.0, "prev_day_close": 17.7249994277954}, {"option": "DRAM270617P00049000", "bid": 12.15, "bid_size": 1684.0, "ask": 14.55, "ask_size": 1977.0, "iv": 0.8425, "open_interest": 1757.0, "volume": 0.0, "delta": -0.3151, "gamma": 0.009, "vega": 0.1686, "theta": -0.0215, "rho": -0.2007, "theo": 13.4309, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.45, "last_trade_time": "2026-07-28T10:34:05", "percent_change": 0.0, "prev_day_close": 13.625}, {"option": "DRAM270617C00050000", "bid": 16.25, "bid_size": 675.0, "ask": 17.2, "ask_size": 313.0, "iv": 0.8508, "open_interest": 11408.0, "volume": 608.0, "delta": 0.6794, "gamma": 0.0088, "vega": 0.1696, "theta": -0.0204, "rho": 0.1575, "theo": 16.6614, "change": -0.275, "open": 15.2, "high": 17.0, "low": 14.85, "tick": "up", "last_trade_price": 16.6, "last_trade_time": "2026-08-03T15:14:49", "percent_change": -1.62963, "prev_day_close": 16.875}, {"option": "DRAM270617P00050000", "bid": 13.15, "bid_size": 1252.0, "ask": 14.3, "ask_size": 581.0, "iv": 0.8289, "open_interest": 1977.0, "volume": 19.0, "delta": -0.3245, "gamma": 0.0091, "vega": 0.1707, "theta": -0.0217, "rho": -0.207, "theo": 14.0352, "change": 0.2, "open": 14.95, "high": 15.0, "low": 14.2, "tick": "up", "last_trade_price": 14.3, "last_trade_time": "2026-08-03T12:33:22", "percent_change": 1.41844, "prev_day_close": 14.1000003814697}, {"option": "DRAM270617C00051000", "bid": 14.15, "bid_size": 1489.0, "ask": 17.2, "ask_size": 924.0, "iv": 0.8103, "open_interest": 216.0, "volume": 9.0, "delta": 0.6705, "gamma": 0.0088, "vega": 0.1716, "theta": -0.0207, "rho": 0.1567, "theo": 16.3029, "change": -0.2, "open": 15.9, "high": 16.45, "low": 15.9, "tick": "up", "last_trade_price": 16.45, "last_trade_time": "2026-08-03T13:47:56", "percent_change": -1.2012, "prev_day_close": 16.6500000953674}, {"option": "DRAM270617P00051000", "bid": 13.35, "bid_size": 1542.0, "ask": 15.15, "ask_size": 812.0, "iv": 0.8237, "open_interest": 18.0, "volume": 1.0, "delta": -0.3338, "gamma": 0.0093, "vega": 0.1726, "theta": -0.0219, "rho": -0.2131, "theo": 14.6494, "change": 0.55, "open": 15.5, "high": 15.5, "low": 15.5, "tick": "up", "last_trade_price": 15.5, "last_trade_time": "2026-08-03T09:38:00", "percent_change": 3.67893, "prev_day_close": 14.9500002861023}, {"option": "DRAM270617C00052000", "bid": 15.2, "bid_size": 534.0, "ask": 17.9, "ask_size": 1099.0, "iv": 0.881, "open_interest": 369.0, "volume": 11.0, "delta": 0.6616, "gamma": 0.009, "vega": 0.1734, "theta": -0.021, "rho": 0.1558, "theo": 15.9539, "change": -0.74, "open": 14.1, "high": 16.06, "low": 14.1, "tick": "up", "last_trade_price": 16.06, "last_trade_time": "2026-08-03T14:31:52", "percent_change": -4.40476, "prev_day_close": 16.7999997138977}, {"option": "DRAM270617P00052000", "bid": 13.0, "bid_size": 1481.0, "ask": 16.45, "ask_size": 1610.0, "iv": 0.8152, "open_interest": 113.0, "volume": 3.0, "delta": -0.3431, "gamma": 0.0094, "vega": 0.1743, "theta": -0.0221, "rho": -0.2188, "theo": 15.2741, "change": 0.845, "open": 15.87, "high": 15.87, "low": 15.87, "tick": "no_change", "last_trade_price": 15.87, "last_trade_time": "2026-08-03T10:24:53", "percent_change": 5.62396, "prev_day_close": 15.0250000953674}, {"option": "DRAM270617C00053000", "bid": 13.5, "bid_size": 1131.0, "ask": 15.9, "ask_size": 10.0, "iv": 0.847, "open_interest": 286.0, "volume": 18.0, "delta": 0.6529, "gamma": 0.009, "vega": 0.1751, "theta": -0.0212, "rho": 0.1547, "theo": 15.6144, "change": -0.1, "open": 14.5, "high": 15.9, "low": 13.5, "tick": "no_change", "last_trade_price": 15.9, "last_trade_time": "2026-08-03T15:59:58", "percent_change": -0.625003, "prev_day_close": 16.0000004768372}, {"option": "DRAM270617P00053000", "bid": 14.45, "bid_size": 1426.0, "ask": 17.75, "ask_size": 1634.0, "iv": 0.8573, "open_interest": 31.0, "volume": 0.0, "delta": -0.3523, "gamma": 0.0095, "vega": 0.176, "theta": -0.0223, "rho": -0.2249, "theo": 15.9088, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.75, "last_trade_time": "2026-07-29T10:05:55", "percent_change": 0.0, "prev_day_close": 15.8250002861023}, {"option": "DRAM270617C00054000", "bid": 13.9, "bid_size": 1277.0, "ask": 15.9, "ask_size": 312.0, "iv": 0.8246, "open_interest": 339.0, "volume": 0.0, "delta": 0.6442, "gamma": 0.0091, "vega": 0.1767, "theta": -0.0215, "rho": 0.1536, "theo": 15.284, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.09, "last_trade_time": "2026-07-31T12:22:48", "percent_change": 0.0, "prev_day_close": 15.8500003814697}, {"option": "DRAM270617P00054000", "bid": 15.55, "bid_size": 901.0, "ask": 17.8, "ask_size": 1600.0, "iv": 0.8531, "open_interest": 64.0, "volume": 0.0, "delta": -0.3614, "gamma": 0.0096, "vega": 0.1775, "theta": -0.0225, "rho": -0.2305, "theo": 16.5532, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.52, "last_trade_time": "2026-07-31T11:05:59", "percent_change": 0.0, "prev_day_close": 16.3250002861023}, {"option": "DRAM270617C00055000", "bid": 13.2, "bid_size": 1536.0, "ask": 16.3, "ask_size": 1497.0, "iv": 0.8343, "open_interest": 1475.0, "volume": 101.0, "delta": 0.6356, "gamma": 0.0092, "vega": 0.1782, "theta": -0.0217, "rho": 0.1526, "theo": 14.9624, "change": -0.235, "open": 13.46, "high": 15.1, "low": 13.0, "tick": "up", "last_trade_price": 15.04, "last_trade_time": "2026-08-03T15:40:10", "percent_change": -1.53846, "prev_day_close": 15.2750000953674}, {"option": "DRAM270617P00055000", "bid": 16.25, "bid_size": 1022.0, "ask": 18.35, "ask_size": 1904.0, "iv": 0.8514, "open_interest": 332.0, "volume": 0.0, "delta": -0.3704, "gamma": 0.0097, "vega": 0.1789, "theta": -0.0226, "rho": -0.2358, "theo": 17.2066, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.09, "last_trade_time": "2026-07-29T10:02:02", "percent_change": 0.0, "prev_day_close": 17.0749998092651}, {"option": "DRAM270617C00056000", "bid": 12.7, "bid_size": 1189.0, "ask": 16.0, "ask_size": 948.0, "iv": 0.8295, "open_interest": 238.0, "volume": 24.0, "delta": 0.6271, "gamma": 0.0093, "vega": 0.1795, "theta": -0.0219, "rho": 0.1515, "theo": 14.6494, "change": -0.95, "open": 13.7, "high": 14.5, "low": 13.7, "tick": "up", "last_trade_price": 14.5, "last_trade_time": "2026-08-03T10:53:12", "percent_change": -6.14887, "prev_day_close": 15.4499998092651}, {"option": "DRAM270617P00056000", "bid": 16.45, "bid_size": 1343.0, "ask": 19.05, "ask_size": 1659.0, "iv": 0.8395, "open_interest": 174.0, "volume": 0.0, "delta": -0.3793, "gamma": 0.0098, "vega": 0.1802, "theta": -0.0228, "rho": -0.2408, "theo": 17.8685, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.69, "last_trade_time": "2026-07-29T11:17:36", "percent_change": 0.0, "prev_day_close": 18.1499996185303}, {"option": "DRAM270617C00057000", "bid": 13.0, "bid_size": 1013.0, "ask": 15.65, "ask_size": 744.0, "iv": 0.845, "open_interest": 139.0, "volume": 0.0, "delta": 0.6187, "gamma": 0.0093, "vega": 0.1808, "theta": -0.0222, "rho": 0.1504, "theo": 14.3446, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.6, "last_trade_time": "2026-07-30T13:18:05", "percent_change": 0.0, "prev_day_close": 14.6749997138977}, {"option": "DRAM270617P00057000", "bid": 17.6, "bid_size": 508.0, "ask": 20.3, "ask_size": 1063.0, "iv": 0.8687, "open_interest": 67.0, "volume": 0.0, "delta": -0.3882, "gamma": 0.0098, "vega": 0.1814, "theta": -0.0229, "rho": -0.2473, "theo": 18.5392, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.09, "last_trade_time": "2026-07-23T11:00:31", "percent_change": 0.0, "prev_day_close": 18.9750003814697}, {"option": "DRAM270617C00058000", "bid": 13.2, "bid_size": 806.0, "ask": 15.1, "ask_size": 1106.0, "iv": 0.8517, "open_interest": 196.0, "volume": 5.0, "delta": 0.6104, "gamma": 0.0094, "vega": 0.182, "theta": -0.0223, "rho": 0.1494, "theo": 14.0478, "change": -0.725, "open": 12.66, "high": 14.25, "low": 12.66, "tick": "down", "last_trade_price": 14.05, "last_trade_time": "2026-08-03T13:41:12", "percent_change": -4.90693, "prev_day_close": 14.7749996185303}, {"option": "DRAM270617P00058000", "bid": 18.25, "bid_size": 640.0, "ask": 20.9, "ask_size": 1371.0, "iv": 0.8656, "open_interest": 360.0, "volume": 0.0, "delta": -0.397, "gamma": 0.0099, "vega": 0.1825, "theta": -0.023, "rho": -0.2528, "theo": 19.2181, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.5, "last_trade_time": "2026-07-15T11:34:28", "percent_change": 0.0, "prev_day_close": 19.8000001907349}, {"option": "DRAM270617C00059000", "bid": 13.35, "bid_size": 249.0, "ask": 15.15, "ask_size": 1181.0, "iv": 0.873, "open_interest": 188.0, "volume": 0.0, "delta": 0.6022, "gamma": 0.0094, "vega": 0.1831, "theta": -0.0225, "rho": 0.1482, "theo": 13.7587, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.0, "last_trade_time": "2026-07-30T09:38:01", "percent_change": 0.0, "prev_day_close": 14.2249999046326}, {"option": "DRAM270617P00059000", "bid": 18.5, "bid_size": 493.0, "ask": 21.65, "ask_size": 572.0, "iv": 0.8554, "open_interest": 13.0, "volume": 0.0, "delta": -0.4057, "gamma": 0.01, "vega": 0.1834, "theta": -0.0231, "rho": -0.2575, "theo": 19.9051, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.95, "last_trade_time": "2026-07-21T12:47:39", "percent_change": 0.0, "prev_day_close": 19.8000001907349}, {"option": "DRAM270617C00060000", "bid": 12.85, "bid_size": 619.0, "ask": 14.6, "ask_size": 1337.0, "iv": 0.8596, "open_interest": 5373.0, "volume": 202.0, "delta": 0.594, "gamma": 0.0095, "vega": 0.184, "theta": -0.0227, "rho": 0.147, "theo": 13.4772, "change": -0.2, "open": 12.7, "high": 14.0, "low": 12.0, "tick": "up", "last_trade_price": 13.65, "last_trade_time": "2026-08-03T15:46:49", "percent_change": -1.44404, "prev_day_close": 13.8499999046326}, {"option": "DRAM270617P00060000", "bid": 19.75, "bid_size": 582.0, "ask": 21.15, "ask_size": 860.0, "iv": 0.838, "open_interest": 1383.0, "volume": 0.0, "delta": -0.4143, "gamma": 0.0101, "vega": 0.1842, "theta": -0.0232, "rho": -0.2631, "theo": 20.6007, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.99, "last_trade_time": "2026-07-30T13:06:11", "percent_change": 0.0, "prev_day_close": 20.3499994277954}, {"option": "DRAM270617C00061000", "bid": 12.8, "bid_size": 312.0, "ask": 13.7, "ask_size": 518.0, "iv": 0.8487, "open_interest": 121.0, "volume": 28.0, "delta": 0.586, "gamma": 0.0096, "vega": 0.1849, "theta": -0.0229, "rho": 0.1457, "theo": 13.2032, "change": -1.12, "open": 12.0, "high": 12.88, "low": 12.0, "tick": "up", "last_trade_price": 12.88, "last_trade_time": "2026-08-03T13:24:39", "percent_change": -8.0, "prev_day_close": 14.0}, {"option": "DRAM270617P00061000", "bid": 20.45, "bid_size": 589.0, "ask": 21.95, "ask_size": 922.0, "iv": 0.8406, "open_interest": 717.0, "volume": 0.0, "delta": -0.4228, "gamma": 0.0101, "vega": 0.185, "theta": -0.0232, "rho": -0.2685, "theo": 21.3042, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.3, "last_trade_time": "2026-07-17T15:14:10", "percent_change": 0.0, "prev_day_close": 21.5}, {"option": "DRAM270617C00062000", "bid": 11.5, "bid_size": 1406.0, "ask": 13.8, "ask_size": 1158.0, "iv": 0.8309, "open_interest": 170.0, "volume": 0.0, "delta": 0.5781, "gamma": 0.0096, "vega": 0.1857, "theta": -0.023, "rho": 0.1445, "theo": 12.9365, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.38, "last_trade_time": "2026-07-30T10:24:19", "percent_change": 0.0, "prev_day_close": 13.4250001907349}, {"option": "DRAM270617P00062000", "bid": 20.65, "bid_size": 661.0, "ask": 23.15, "ask_size": 853.0, "iv": 0.8401, "open_interest": 382.0, "volume": 0.0, "delta": -0.4312, "gamma": 0.0102, "vega": 0.1856, "theta": -0.0233, "rho": -0.2736, "theo": 22.0155, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.0, "last_trade_time": "2026-07-28T09:50:28", "percent_change": 0.0, "prev_day_close": 22.0249996185303}, {"option": "DRAM270617C00063000", "bid": 11.7, "bid_size": 902.0, "ask": 13.2, "ask_size": 351.0, "iv": 0.8343, "open_interest": 226.0, "volume": 0.0, "delta": 0.5703, "gamma": 0.0096, "vega": 0.1864, "theta": -0.0231, "rho": 0.1432, "theo": 12.6768, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.28, "last_trade_time": "2026-07-31T11:12:21", "percent_change": 0.0, "prev_day_close": 13.3499999046326}, {"option": "DRAM270617P00063000", "bid": 21.1, "bid_size": 269.0, "ask": 24.5, "ask_size": 364.0, "iv": 0.85, "open_interest": 87.0, "volume": 0.0, "delta": -0.4395, "gamma": 0.0102, "vega": 0.1862, "theta": -0.0233, "rho": -0.2775, "theo": 22.734, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.37, "last_trade_time": "2026-07-30T09:30:12", "percent_change": 0.0, "prev_day_close": 23.0749998092651}, {"option": "DRAM270617C00064000", "bid": 11.0, "bid_size": 1233.0, "ask": 13.3, "ask_size": 982.0, "iv": 0.8319, "open_interest": 97.0, "volume": 0.0, "delta": 0.5626, "gamma": 0.0096, "vega": 0.187, "theta": -0.0233, "rho": 0.1419, "theo": 12.4238, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.8, "last_trade_time": "2026-07-30T10:54:13", "percent_change": 0.0, "prev_day_close": 12.9250001907349}, {"option": "DRAM270617P00064000", "bid": 22.45, "bid_size": 421.0, "ask": 24.6, "ask_size": 532.0, "iv": 0.8501, "open_interest": 12.0, "volume": 0.0, "delta": -0.4477, "gamma": 0.0103, "vega": 0.1867, "theta": -0.0234, "rho": -0.2827, "theo": 23.4594, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.56, "last_trade_time": "2026-07-17T10:20:35", "percent_change": 0.0, "prev_day_close": 23.625}, {"option": "DRAM270617C00065000", "bid": 11.35, "bid_size": 842.0, "ask": 13.1, "ask_size": 1223.0, "iv": 0.8492, "open_interest": 2555.0, "volume": 215.0, "delta": 0.555, "gamma": 0.0097, "vega": 0.1876, "theta": -0.0234, "rho": 0.1407, "theo": 12.1774, "change": -0.325, "open": 11.5, "high": 12.25, "low": 9.75, "tick": "up", "last_trade_price": 12.25, "last_trade_time": "2026-08-03T15:53:01", "percent_change": -2.58449, "prev_day_close": 12.5749998092651}, {"option": "DRAM270617P00065000", "bid": 23.2, "bid_size": 337.0, "ask": 25.4, "ask_size": 453.0, "iv": 0.8525, "open_interest": 38.0, "volume": 0.0, "delta": -0.4558, "gamma": 0.0103, "vega": 0.187, "theta": -0.0234, "rho": -0.2869, "theo": 24.1918, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.5, "last_trade_time": "2026-07-29T13:06:04", "percent_change": 0.0, "prev_day_close": 24.7999992370605}, {"option": "DRAM270617C00066000", "bid": 10.9, "bid_size": 1153.0, "ask": 12.85, "ask_size": 1190.0, "iv": 0.8436, "open_interest": 114.0, "volume": 0.0, "delta": 0.5475, "gamma": 0.0097, "vega": 0.188, "theta": -0.0235, "rho": 0.1395, "theo": 11.9373, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.49, "last_trade_time": "2026-07-31T12:22:48", "percent_change": 0.0, "prev_day_close": 12.4499998092651}, {"option": "DRAM270617P00066000", "bid": 23.65, "bid_size": 429.0, "ask": 26.25, "ask_size": 527.0, "iv": 0.8479, "open_interest": 18.0, "volume": 0.0, "delta": -0.4639, "gamma": 0.0104, "vega": 0.1874, "theta": -0.0234, "rho": -0.2921, "theo": 24.9308, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.31, "last_trade_time": "2026-07-01T12:42:11", "percent_change": 0.0, "prev_day_close": 25.4250001907349}, {"option": "DRAM270617C00067000", "bid": 11.25, "bid_size": 341.0, "ask": 12.6, "ask_size": 1266.0, "iv": 0.8588, "open_interest": 514.0, "volume": 0.0, "delta": 0.5401, "gamma": 0.0097, "vega": 0.1884, "theta": -0.0236, "rho": 0.1382, "theo": 11.7032, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.7, "last_trade_time": "2026-07-31T13:10:36", "percent_change": 0.0, "prev_day_close": 12.0999999046326}, {"option": "DRAM270617P00067000", "bid": 23.5, "bid_size": 160.0, "ask": 27.45, "ask_size": 272.0, "iv": 0.8364, "open_interest": 40.0, "volume": 0.0, "delta": -0.4718, "gamma": 0.0104, "vega": 0.1877, "theta": -0.0234, "rho": -0.2969, "theo": 25.6762, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 24.85, "last_trade_time": "2026-07-27T09:35:12", "percent_change": 0.0, "prev_day_close": 25.875}, {"option": "DRAM270617C00068000", "bid": 11.15, "bid_size": 288.0, "ask": 12.35, "ask_size": 1364.0, "iv": 0.8618, "open_interest": 376.0, "volume": 0.0, "delta": 0.5328, "gamma": 0.0097, "vega": 0.1888, "theta": -0.0236, "rho": 0.137, "theo": 11.4751, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.5, "last_trade_time": "2026-07-31T15:55:07", "percent_change": 0.0, "prev_day_close": 12.3249998092651}, {"option": "DRAM270617P00068000", "bid": 24.4, "bid_size": 219.0, "ask": 27.6, "ask_size": 215.0, "iv": 0.8245, "open_interest": 26.0, "volume": 0.0, "delta": -0.4796, "gamma": 0.0105, "vega": 0.1877, "theta": -0.0234, "rho": -0.3007, "theo": 26.4279, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.8, "last_trade_time": "2026-06-24T15:06:54", "percent_change": 0.0, "prev_day_close": 26.6000003814697}, {"option": "DRAM270617C00069000", "bid": 10.5, "bid_size": 793.0, "ask": 12.15, "ask_size": 1213.0, "iv": 0.8513, "open_interest": 139.0, "volume": 0.0, "delta": 0.5256, "gamma": 0.0097, "vega": 0.189, "theta": -0.0237, "rho": 0.1357, "theo": 11.2529, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.02, "last_trade_time": "2026-07-29T14:54:19", "percent_change": 0.0, "prev_day_close": 11.8999996185303}, {"option": "DRAM270617P00069000", "bid": 26.35, "bid_size": 419.0, "ask": 29.0, "ask_size": 775.0, "iv": 0.8735, "open_interest": 114.0, "volume": 0.0, "delta": -0.4874, "gamma": 0.0105, "vega": 0.1877, "theta": -0.0234, "rho": -0.3051, "theo": 27.1863, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.4, "last_trade_time": "2026-07-24T09:30:05", "percent_change": 0.0, "prev_day_close": 27.3500003814697}, {"option": "DRAM270617C00070000", "bid": 10.1, "bid_size": 1059.0, "ask": 11.1, "ask_size": 1.0, "iv": 0.8247, "open_interest": 4057.0, "volume": 163.0, "delta": 0.5185, "gamma": 0.0098, "vega": 0.1892, "theta": -0.0238, "rho": 0.1343, "theo": 11.0363, "change": -0.325, "open": 10.8, "high": 11.2, "low": 9.05, "tick": "up", "last_trade_price": 11.2, "last_trade_time": "2026-08-03T15:52:10", "percent_change": -2.81996, "prev_day_close": 11.5250000953674}, {"option": "DRAM270617P00070000", "bid": 26.2, "bid_size": 958.0, "ask": 29.1, "ask_size": 1100.0, "iv": 0.8317, "open_interest": 1068.0, "volume": 0.0, "delta": -0.495, "gamma": 0.0105, "vega": 0.1877, "theta": -0.0234, "rho": -0.3104, "theo": 27.9509, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.7, "last_trade_time": "2026-07-28T10:03:07", "percent_change": 0.0, "prev_day_close": 28.25}, {"option": "DRAM270617C00071000", "bid": 9.45, "bid_size": 1252.0, "ask": 11.7, "ask_size": 1109.0, "iv": 0.8348, "open_interest": 96.0, "volume": 0.0, "delta": 0.5115, "gamma": 0.0098, "vega": 0.1893, "theta": -0.0238, "rho": 0.133, "theo": 10.8253, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.8, "last_trade_time": "2026-07-30T14:08:31", "percent_change": 0.0, "prev_day_close": 11.2750000953674}, {"option": "DRAM270617P00071000", "bid": 27.4, "bid_size": 619.0, "ask": 30.5, "ask_size": 817.0, "iv": 0.8602, "open_interest": 331.0, "volume": 0.0, "delta": -0.5025, "gamma": 0.0105, "vega": 0.1875, "theta": -0.0233, "rho": -0.3141, "theo": 28.7215, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 22.5, "last_trade_time": "2026-06-23T13:35:35", "percent_change": 0.0, "prev_day_close": 28.9249992370606}, {"option": "DRAM270617C00072000", "bid": 8.55, "bid_size": 1633.0, "ask": 11.9, "ask_size": 1575.0, "iv": 0.8274, "open_interest": 161.0, "volume": 11.0, "delta": 0.5047, "gamma": 0.0098, "vega": 0.1894, "theta": -0.0239, "rho": 0.1317, "theo": 10.6197, "change": -1.375, "open": 9.65, "high": 9.7, "low": 9.5, "tick": "up", "last_trade_price": 9.7, "last_trade_time": "2026-08-03T09:57:07", "percent_change": -12.4154, "prev_day_close": 11.0750002861023}, {"option": "DRAM270617P00072000", "bid": 28.5, "bid_size": 294.0, "ask": 31.05, "ask_size": 471.0, "iv": 0.863, "open_interest": 0.0, "volume": 0.0, "delta": -0.51, "gamma": 0.0106, "vega": 0.1873, "theta": -0.0233, "rho": -0.3181, "theo": 29.4978, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 29.6749992370606}, {"option": "DRAM270617C00073000", "bid": 9.05, "bid_size": 1394.0, "ask": 11.3, "ask_size": 1226.0, "iv": 0.8356, "open_interest": 122.0, "volume": 0.0, "delta": 0.4979, "gamma": 0.0098, "vega": 0.1894, "theta": -0.0239, "rho": 0.1304, "theo": 10.4193, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 11.5, "last_trade_time": "2026-07-30T12:20:57", "percent_change": 0.0, "prev_day_close": 10.7999997138977}, {"option": "DRAM270617P00073000", "bid": 29.3, "bid_size": 483.0, "ask": 32.05, "ask_size": 757.0, "iv": 0.8696, "open_interest": 214.0, "volume": 0.0, "delta": -0.5173, "gamma": 0.0106, "vega": 0.1872, "theta": -0.0232, "rho": -0.321, "theo": 30.2795, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 28.29, "last_trade_time": "2026-07-07T10:43:16", "percent_change": 0.0, "prev_day_close": 30.8499994277954}, {"option": "DRAM270617C00074000", "bid": 8.85, "bid_size": 1340.0, "ask": 10.85, "ask_size": 531.0, "iv": 0.829, "open_interest": 963.0, "volume": 0.0, "delta": 0.4912, "gamma": 0.0098, "vega": 0.1894, "theta": -0.0239, "rho": 0.1291, "theo": 10.2239, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.78, "last_trade_time": "2026-07-31T15:34:15", "percent_change": 0.0, "prev_day_close": 10.7249999046326}, {"option": "DRAM270617P00074000", "bid": 30.25, "bid_size": 248.0, "ask": 32.85, "ask_size": 523.0, "iv": 0.8746, "open_interest": 29.0, "volume": 0.0, "delta": -0.5245, "gamma": 0.0106, "vega": 0.187, "theta": -0.0232, "rho": -0.3241, "theo": 31.0664, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.72, "last_trade_time": "2026-07-28T10:12:14", "percent_change": 0.0, "prev_day_close": 31.5999994277954}, {"option": "DRAM270617C00075000", "bid": 9.0, "bid_size": 1006.0, "ask": 11.3, "ask_size": 1597.0, "iv": 0.8553, "open_interest": 1938.0, "volume": 11.0, "delta": 0.4847, "gamma": 0.0097, "vega": 0.1893, "theta": -0.024, "rho": 0.1278, "theo": 10.0333, "change": -0.5, "open": 8.55, "high": 10.0, "low": 8.55, "tick": "up", "last_trade_price": 10.0, "last_trade_time": "2026-08-03T14:56:25", "percent_change": -4.7619, "prev_day_close": 10.5}, {"option": "DRAM270617P00075000", "bid": 31.0, "bid_size": 212.0, "ask": 33.55, "ask_size": 479.0, "iv": 0.8714, "open_interest": 12.0, "volume": 0.0, "delta": -0.5317, "gamma": 0.0106, "vega": 0.1865, "theta": -0.0231, "rho": -0.3282, "theo": 31.8588, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 35.27, "last_trade_time": "2026-07-29T15:52:31", "percent_change": 0.0, "prev_day_close": 31.8999996185303}, {"option": "DRAM270617C00076000", "bid": 8.45, "bid_size": 1175.0, "ask": 10.7, "ask_size": 1099.0, "iv": 0.835, "open_interest": 47.0, "volume": 0.0, "delta": 0.4782, "gamma": 0.0097, "vega": 0.1892, "theta": -0.024, "rho": 0.1266, "theo": 9.8474, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 9.05, "last_trade_time": "2026-07-31T15:36:03", "percent_change": 0.0, "prev_day_close": 10.3000001907349}, {"option": "DRAM270617P00076000", "bid": 31.0, "bid_size": 472.0, "ask": 34.3, "ask_size": 497.0, "iv": 0.8491, "open_interest": 5.0, "volume": 0.0, "delta": -0.5387, "gamma": 0.0106, "vega": 0.1863, "theta": -0.023, "rho": -0.3323, "theo": 32.656, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.9, "last_trade_time": "2026-06-25T11:55:05", "percent_change": 0.0, "prev_day_close": 32.8750009536743}, {"option": "DRAM270617C00077000", "bid": 9.3, "bid_size": 27.0, "ask": 10.3, "ask_size": 520.0, "iv": 0.8568, "open_interest": 137.0, "volume": 0.0, "delta": 0.4718, "gamma": 0.0097, "vega": 0.189, "theta": -0.024, "rho": 0.1253, "theo": 9.666, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 10.81, "last_trade_time": "2026-07-31T10:37:10", "percent_change": 0.0, "prev_day_close": 10.0250000953674}, {"option": "DRAM270617P00077000", "bid": 31.7, "bid_size": 184.0, "ask": 35.25, "ask_size": 260.0, "iv": 0.8506, "open_interest": 3.0, "volume": 0.0, "delta": -0.5457, "gamma": 0.0106, "vega": 0.1859, "theta": -0.023, "rho": -0.336, "theo": 33.458, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.47, "last_trade_time": "2026-07-01T12:39:15", "percent_change": 0.0, "prev_day_close": 33.6000003814697}, {"option": "DRAM270617C00078000", "bid": 7.5, "bid_size": 829.0, "ask": 10.7, "ask_size": 1037.0, "iv": 0.8294, "open_interest": 362.0, "volume": 0.0, "delta": 0.4655, "gamma": 0.0097, "vega": 0.1888, "theta": -0.024, "rho": 0.1241, "theo": 9.4891, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.2, "last_trade_time": "2026-07-20T09:32:13", "percent_change": 0.0, "prev_day_close": 9.90000009536743}, {"option": "DRAM270617P00078000", "bid": 31.85, "bid_size": 246.0, "ask": 36.0, "ask_size": 273.0, "iv": 0.8317, "open_interest": 0.0, "volume": 0.0, "delta": -0.5526, "gamma": 0.0106, "vega": 0.1854, "theta": -0.0229, "rho": -0.3393, "theo": 34.2647, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 34.4500007629394}, {"option": "DRAM270617C00079000", "bid": 7.9, "bid_size": 1365.0, "ask": 10.0, "ask_size": 490.0, "iv": 0.8309, "open_interest": 47.0, "volume": 0.0, "delta": 0.4594, "gamma": 0.0097, "vega": 0.1885, "theta": -0.024, "rho": 0.1228, "theo": 9.3164, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 8.2, "last_trade_time": "2026-07-28T13:49:05", "percent_change": 0.0, "prev_day_close": 9.84999990463257}, {"option": "DRAM270617P00079000", "bid": 33.85, "bid_size": 400.0, "ask": 36.85, "ask_size": 468.0, "iv": 0.8652, "open_interest": 1.0, "volume": 0.0, "delta": -0.5594, "gamma": 0.0106, "vega": 0.1847, "theta": -0.0228, "rho": -0.342, "theo": 35.0764, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.33, "last_trade_time": "2026-06-22T10:56:45", "percent_change": 0.0, "prev_day_close": 35.2250003814697}, {"option": "DRAM270617C00080000", "bid": 9.0, "bid_size": 1.0, "ask": 9.4, "ask_size": 2.0, "iv": 0.8535, "open_interest": 5422.0, "volume": 31.0, "delta": 0.4533, "gamma": 0.0097, "vega": 0.1882, "theta": -0.024, "rho": 0.1216, "theo": 9.148, "change": -0.275, "open": 8.0, "high": 9.15, "low": 7.95, "tick": "up", "last_trade_price": 9.15, "last_trade_time": "2026-08-03T15:36:07", "percent_change": -2.91777, "prev_day_close": 9.42500019073486}, {"option": "DRAM270617P00080000", "bid": 34.7, "bid_size": 356.0, "ask": 36.65, "ask_size": 374.0, "iv": 0.8388, "open_interest": 38.0, "volume": 0.0, "delta": -0.5661, "gamma": 0.0106, "vega": 0.1839, "theta": -0.0227, "rho": -0.3451, "theo": 35.893, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 39.07, "last_trade_time": "2026-07-28T11:42:15", "percent_change": 0.0, "prev_day_close": 36.0}, {"option": "DRAM270617C00081000", "bid": 8.4, "bid_size": 642.0, "ask": 10.2, "ask_size": 1635.0, "iv": 0.8679, "open_interest": 141.0, "volume": 2.0, "delta": 0.4473, "gamma": 0.0096, "vega": 0.1878, "theta": -0.0239, "rho": 0.1203, "theo": 8.9836, "change": -0.745, "open": 8.53, "high": 8.53, "low": 8.53, "tick": "down", "last_trade_price": 8.53, "last_trade_time": "2026-08-03T14:45:03", "percent_change": -8.03234, "prev_day_close": 9.27499961853027}, {"option": "DRAM270617P00081000", "bid": 35.75, "bid_size": 305.0, "ask": 37.8, "ask_size": 469.0, "iv": 0.8544, "open_interest": 10.0, "volume": 0.0, "delta": -0.5727, "gamma": 0.0106, "vega": 0.1834, "theta": -0.0226, "rho": -0.3494, "theo": 36.714, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.65, "last_trade_time": "2026-07-01T15:16:27", "percent_change": 0.0, "prev_day_close": 36.9000015258789}, {"option": "DRAM270617C00082000", "bid": 7.35, "bid_size": 1481.0, "ask": 9.65, "ask_size": 1274.0, "iv": 0.8341, "open_interest": 114.0, "volume": 0.0, "delta": 0.4414, "gamma": 0.0096, "vega": 0.1874, "theta": -0.0239, "rho": 0.119, "theo": 8.8233, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 9.97, "last_trade_time": "2026-07-31T10:37:10", "percent_change": 0.0, "prev_day_close": 9.02500009536743}, {"option": "DRAM270617P00082000", "bid": 36.75, "bid_size": 227.0, "ask": 38.65, "ask_size": 463.0, "iv": 0.8602, "open_interest": 0.0, "volume": 0.0, "delta": -0.5792, "gamma": 0.0106, "vega": 0.1826, "theta": -0.0225, "rho": -0.3514, "theo": 37.5395, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 37.3999996185303}, {"option": "DRAM270617C00083000", "bid": 7.2, "bid_size": 692.0, "ask": 9.95, "ask_size": 1376.0, "iv": 0.8469, "open_interest": 28.0, "volume": 0.0, "delta": 0.4356, "gamma": 0.0096, "vega": 0.1869, "theta": -0.0239, "rho": 0.1177, "theo": 8.6669, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.51, "last_trade_time": "2026-07-24T10:54:42", "percent_change": 0.0, "prev_day_close": 8.9500002861023}, {"option": "DRAM270617P00083000", "bid": 36.7, "bid_size": 168.0, "ask": 40.1, "ask_size": 263.0, "iv": 0.8535, "open_interest": 0.0, "volume": 0.0, "delta": -0.5856, "gamma": 0.0106, "vega": 0.1819, "theta": -0.0224, "rho": -0.3536, "theo": 38.3691, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.8999996185303}, {"option": "DRAM270617C00084000", "bid": 7.05, "bid_size": 1411.0, "ask": 9.4, "ask_size": 1339.0, "iv": 0.8366, "open_interest": 24.0, "volume": 0.0, "delta": 0.4299, "gamma": 0.0096, "vega": 0.1865, "theta": -0.0238, "rho": 0.1165, "theo": 8.5142, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 8.93, "last_trade_time": "2026-07-31T14:38:01", "percent_change": 0.0, "prev_day_close": 8.72499990463257}, {"option": "DRAM270617P00084000", "bid": 37.65, "bid_size": 448.0, "ask": 40.3, "ask_size": 453.0, "iv": 0.8395, "open_interest": 0.0, "volume": 0.0, "delta": -0.5919, "gamma": 0.0106, "vega": 0.1812, "theta": -0.0223, "rho": -0.3551, "theo": 39.2028, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 39.625}, {"option": "DRAM270617C00085000", "bid": 7.1, "bid_size": 1244.0, "ask": 9.1, "ask_size": 1125.0, "iv": 0.8382, "open_interest": 309.0, "volume": 12.0, "delta": 0.4243, "gamma": 0.0095, "vega": 0.186, "theta": -0.0238, "rho": 0.1152, "theo": 8.3652, "change": -0.805, "open": 6.95, "high": 7.62, "low": 6.95, "tick": "up", "last_trade_price": 7.62, "last_trade_time": "2026-08-03T09:54:23", "percent_change": -9.5549, "prev_day_close": 8.42500019073486}, {"option": "DRAM270617P00085000", "bid": 38.5, "bid_size": 471.0, "ask": 41.1, "ask_size": 426.0, "iv": 0.8391, "open_interest": 0.0, "volume": 0.0, "delta": -0.5981, "gamma": 0.0106, "vega": 0.1804, "theta": -0.0222, "rho": -0.358, "theo": 40.0404, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 40.1499996185303}, {"option": "DRAM270617C00086000", "bid": 7.35, "bid_size": 904.0, "ask": 9.1, "ask_size": 1306.0, "iv": 0.8532, "open_interest": 20.0, "volume": 0.0, "delta": 0.4188, "gamma": 0.0095, "vega": 0.1855, "theta": -0.0238, "rho": 0.1141, "theo": 8.2197, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.35, "last_trade_time": "2026-07-21T10:46:00", "percent_change": 0.0, "prev_day_close": 8.59999990463257}, {"option": "DRAM270617P00086000", "bid": 39.7, "bid_size": 428.0, "ask": 42.45, "ask_size": 492.0, "iv": 0.8637, "open_interest": 20.0, "volume": 0.0, "delta": -0.6043, "gamma": 0.0106, "vega": 0.1794, "theta": -0.022, "rho": -0.3593, "theo": 40.8818, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 43.61, "last_trade_time": "2026-07-28T10:18:59", "percent_change": 0.0, "prev_day_close": 41.0249996185303}, {"option": "DRAM270617C00087000", "bid": 7.25, "bid_size": 840.0, "ask": 8.8, "ask_size": 1112.0, "iv": 0.8504, "open_interest": 32.0, "volume": 0.0, "delta": 0.4134, "gamma": 0.0095, "vega": 0.1849, "theta": -0.0237, "rho": 0.1129, "theo": 8.0776, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.13, "last_trade_time": "2026-07-21T10:59:25", "percent_change": 0.0, "prev_day_close": 8.34999990463257}, {"option": "DRAM270617P00087000", "bid": 40.6, "bid_size": 374.0, "ask": 43.45, "ask_size": 518.0, "iv": 0.8699, "open_interest": 0.0, "volume": 0.0, "delta": -0.6104, "gamma": 0.0106, "vega": 0.1785, "theta": -0.0219, "rho": -0.3639, "theo": 41.7272, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 41.7999992370606}, {"option": "DRAM270617C00088000", "bid": 7.15, "bid_size": 789.0, "ask": 9.15, "ask_size": 1800.0, "iv": 0.8651, "open_interest": 70.0, "volume": 20.0, "delta": 0.408, "gamma": 0.0094, "vega": 0.1844, "theta": -0.0237, "rho": 0.1117, "theo": 7.9387, "change": -0.56, "open": 7.64, "high": 7.64, "low": 7.64, "tick": "no_change", "last_trade_price": 7.64, "last_trade_time": "2026-08-03T10:46:31", "percent_change": -6.82927, "prev_day_close": 8.2000002861023}, {"option": "DRAM270617P00088000", "bid": 41.1, "bid_size": 473.0, "ask": 44.3, "ask_size": 514.0, "iv": 0.8606, "open_interest": 0.0, "volume": 0.0, "delta": -0.6164, "gamma": 0.0106, "vega": 0.1779, "theta": -0.0218, "rho": -0.3661, "theo": 42.5758, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 42.6750011444092}, {"option": "DRAM270617C00089000", "bid": 5.85, "bid_size": 1602.0, "ask": 9.05, "ask_size": 1821.0, "iv": 0.8348, "open_interest": 59.0, "volume": 5.0, "delta": 0.4027, "gamma": 0.0094, "vega": 0.1838, "theta": -0.0236, "rho": 0.1106, "theo": 7.8031, "change": -1.2, "open": 6.96, "high": 6.96, "low": 6.9, "tick": "no_change", "last_trade_price": 6.9, "last_trade_time": "2026-08-03T09:41:13", "percent_change": -14.8148, "prev_day_close": 8.09999990463257}, {"option": "DRAM270617P00089000", "bid": 42.2, "bid_size": 326.0, "ask": 45.15, "ask_size": 474.0, "iv": 0.868, "open_interest": 0.0, "volume": 0.0, "delta": -0.6223, "gamma": 0.0106, "vega": 0.177, "theta": -0.0217, "rho": -0.3677, "theo": 43.428, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 43.2250003814697}, {"option": "DRAM270617C00090000", "bid": 7.25, "bid_size": 534.0, "ask": 8.65, "ask_size": 1630.0, "iv": 0.8697, "open_interest": 2678.0, "volume": 2.0, "delta": 0.3976, "gamma": 0.0094, "vega": 0.1832, "theta": -0.0236, "rho": 0.1094, "theo": 7.6706, "change": -0.175, "open": 7.05, "high": 7.25, "low": 7.05, "tick": "up", "last_trade_price": 7.25, "last_trade_time": "2026-08-03T11:06:10", "percent_change": -2.3569, "prev_day_close": 7.42499995231628}, {"option": "DRAM270617P00090000", "bid": 43.35, "bid_size": 514.0, "ask": 45.4, "ask_size": 932.0, "iv": 0.8597, "open_interest": 1740.0, "volume": 0.0, "delta": -0.6281, "gamma": 0.0106, "vega": 0.1759, "theta": -0.0215, "rho": -0.3702, "theo": 44.2836, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 47.65, "last_trade_time": "2026-07-28T11:42:15", "percent_change": 0.0, "prev_day_close": 44.5249996185303}, {"option": "DRAM270617C00095000", "bid": 5.75, "bid_size": 1433.0, "ask": 7.95, "ask_size": 1581.0, "iv": 0.8452, "open_interest": 138.0, "volume": 0.0, "delta": 0.3729, "gamma": 0.0092, "vega": 0.1797, "theta": -0.0232, "rho": 0.1037, "theo": 7.052, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.0, "last_trade_time": "2026-07-31T15:58:09", "percent_change": 0.0, "prev_day_close": 6.89999985694885}, {"option": "DRAM270617P00095000", "bid": 47.75, "bid_size": 305.0, "ask": 50.3, "ask_size": 456.0, "iv": 0.8806, "open_interest": 0.0, "volume": 0.0, "delta": -0.6561, "gamma": 0.0105, "vega": 0.1702, "theta": -0.0208, "rho": -0.3782, "theo": 48.6132, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 49.125}, {"option": "DRAM270617C00100000", "bid": 5.75, "bid_size": 819.0, "ask": 7.75, "ask_size": 2052.0, "iv": 0.8728, "open_interest": 1089.0, "volume": 14.0, "delta": 0.3502, "gamma": 0.009, "vega": 0.1759, "theta": -0.0228, "rho": 0.0983, "theo": 6.5004, "change": -0.185, "open": 6.0, "high": 6.5, "low": 6.0, "tick": "no_change", "last_trade_price": 6.44, "last_trade_time": "2026-08-03T14:26:51", "percent_change": -2.79245, "prev_day_close": 6.625}, {"option": "DRAM270617P00100000", "bid": 52.15, "bid_size": 247.0, "ask": 53.85, "ask_size": 288.0, "iv": 0.8575, "open_interest": 16.0, "volume": 5.0, "delta": -0.6823, "gamma": 0.0104, "vega": 0.164, "theta": -0.02, "rho": -0.3815, "theo": 53.0178, "change": 0.36, "open": 53.46, "high": 53.46, "low": 53.46, "tick": "no_change", "last_trade_price": 53.46, "last_trade_time": "2026-08-03T12:21:02", "percent_change": 0.677965, "prev_day_close": 53.1000003814697}, {"option": "DRAM270617C00105000", "bid": 5.4, "bid_size": 719.0, "ask": 7.85, "ask_size": 2176.0, "iv": 0.8965, "open_interest": 2346.0, "volume": 202.0, "delta": 0.3292, "gamma": 0.0087, "vega": 0.1718, "theta": -0.0224, "rho": 0.0933, "theo": 6.0062, "change": -0.35, "open": 5.75, "high": 6.0, "low": 5.75, "tick": "no_change", "last_trade_price": 6.0, "last_trade_time": "2026-08-03T15:19:17", "percent_change": -5.51181, "prev_day_close": 6.35000014305115}, {"option": "DRAM270617P00105000", "bid": 56.65, "bid_size": 205.0, "ask": 58.6, "ask_size": 328.0, "iv": 0.8695, "open_interest": 2.0, "volume": 0.0, "delta": -0.7068, "gamma": 0.0103, "vega": 0.1579, "theta": -0.0192, "rho": -0.3844, "theo": 57.4867, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 49.7, "last_trade_time": "2026-07-01T14:49:02", "percent_change": 0.0, "prev_day_close": 57.5}, {"option": "DRAM270617C00110000", "bid": 4.8, "bid_size": 912.0, "ask": 5.85, "ask_size": 302.0, "iv": 0.8487, "open_interest": 504.0, "volume": 0.0, "delta": 0.3098, "gamma": 0.0085, "vega": 0.1674, "theta": -0.0219, "rho": 0.0885, "theo": 5.5623, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 6.1, "last_trade_time": "2026-07-31T10:31:32", "percent_change": 0.0, "prev_day_close": 6.04999995231628}, {"option": "DRAM270617P00110000", "bid": 61.0, "bid_size": 215.0, "ask": 63.65, "ask_size": 276.0, "iv": 0.8833, "open_interest": 0.0, "volume": 0.0, "delta": -0.7298, "gamma": 0.0101, "vega": 0.1508, "theta": -0.0183, "rho": -0.3864, "theo": 62.0161, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 62.5499992370606}, {"option": "DRAM270617C00115000", "bid": 4.85, "bid_size": 6.0, "ask": 5.8, "ask_size": 1187.0, "iv": 0.8751, "open_interest": 1260.0, "volume": 2.0, "delta": 0.292, "gamma": 0.0082, "vega": 0.1629, "theta": -0.0214, "rho": 0.0839, "theo": 5.163, "change": -0.475, "open": 5.1, "high": 5.1, "low": 5.1, "tick": "down", "last_trade_price": 5.1, "last_trade_time": "2026-08-03T13:53:28", "percent_change": -8.52018, "prev_day_close": 5.57500004768372}, {"option": "DRAM270617P00115000", "bid": 65.05, "bid_size": 273.0, "ask": 68.0, "ask_size": 309.0, "iv": 0.8602, "open_interest": 1.0, "volume": 1.0, "delta": -0.7512, "gamma": 0.01, "vega": 0.1441, "theta": -0.0174, "rho": -0.3822, "theo": 66.5962, "change": -0.5, "open": 66.1, "high": 66.1, "low": 66.1, "tick": "down", "last_trade_price": 66.1, "last_trade_time": "2026-08-03T14:09:25", "percent_change": -0.750748, "prev_day_close": 66.5999984741211}, {"option": "DRAM270617C00122000", "bid": 4.0, "bid_size": 1151.0, "ask": 5.25, "ask_size": 1326.0, "iv": 0.8655, "open_interest": 1804.0, "volume": 228.0, "delta": 0.2692, "gamma": 0.0079, "vega": 0.1568, "theta": -0.0207, "rho": 0.0782, "theo": 4.6678, "change": -0.025, "open": 4.0, "high": 4.7, "low": 4.0, "tick": "up", "last_trade_price": 4.7, "last_trade_time": "2026-08-03T14:53:23", "percent_change": -0.529099, "prev_day_close": 4.72499990463257}, {"option": "DRAM270617P00122000", "bid": 71.85, "bid_size": 170.0, "ask": 73.85, "ask_size": 160.0, "iv": 0.8502, "open_interest": 1.0, "volume": 0.0, "delta": -0.7793, "gamma": 0.0098, "vega": 0.1333, "theta": -0.0162, "rho": -0.3746, "theo": 73.0848, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 72.25, "last_trade_time": "2026-07-16T09:49:40", "percent_change": 0.0, "prev_day_close": 72.9249992370606}, {"option": "DRAM271217C00025000", "bid": 30.95, "bid_size": 65.0, "ask": 32.8, "ask_size": 92.0, "iv": 0.8892, "open_interest": 0.0, "volume": 10.0, "delta": 0.8959, "gamma": 0.0034, "vega": 0.106, "theta": -0.0053, "rho": 0.1955, "theo": 31.5291, "change": -0.375, "open": 31.7, "high": 32.0, "low": 31.5, "tick": "up", "last_trade_price": 32.0, "last_trade_time": "2026-08-03T15:57:47", "percent_change": -1.1583, "prev_day_close": 32.375}, {"option": "DRAM271217P00025000", "bid": 2.68, "bid_size": 1219.0, "ask": 4.25, "ask_size": 146.0, "iv": 0.7937, "open_interest": 2.0, "volume": 1.0, "delta": -0.1027, "gamma": 0.0035, "vega": 0.1075, "theta": -0.0089, "rho": -0.1104, "theo": 4.13, "change": -0.595, "open": 3.98, "high": 3.98, "low": 3.98, "tick": "down", "last_trade_price": 3.98, "last_trade_time": "2026-08-03T13:21:53", "percent_change": -13.0055, "prev_day_close": 4.57499992847443}, {"option": "DRAM271217C00030000", "bid": 28.25, "bid_size": 233.0, "ask": 30.0, "ask_size": 826.0, "iv": 0.8771, "open_interest": 498.0, "volume": 18.0, "delta": 0.8606, "gamma": 0.0043, "vega": 0.131, "theta": -0.0077, "rho": 0.2089, "theo": 28.7591, "change": -0.515, "open": 27.0, "high": 29.5, "low": 26.97, "tick": "down", "last_trade_price": 28.91, "last_trade_time": "2026-08-03T15:50:01", "percent_change": -1.75021, "prev_day_close": 29.4250001907349}, {"option": "DRAM271217P00030000", "bid": 5.8, "bid_size": 1.0, "ask": 6.3, "ask_size": 385.0, "iv": 0.8461, "open_interest": 369.0, "volume": 4.0, "delta": -0.1394, "gamma": 0.0044, "vega": 0.133, "theta": -0.0109, "rho": -0.1513, "theo": 6.0922, "change": -0.115, "open": 6.6, "high": 6.6, "low": 5.9, "tick": "up", "last_trade_price": 5.91, "last_trade_time": "2026-08-03T15:37:51", "percent_change": -1.90872, "prev_day_close": 6.02500009536743}, {"option": "DRAM271217C00035000", "bid": 25.35, "bid_size": 417.0, "ask": 27.75, "ask_size": 576.0, "iv": 0.8603, "open_interest": 81.0, "volume": 2.0, "delta": 0.8241, "gamma": 0.005, "vega": 0.1532, "theta": -0.0098, "rho": 0.2168, "theo": 26.3093, "change": -0.175, "open": 25.35, "high": 26.85, "low": 25.35, "tick": "up", "last_trade_price": 26.85, "last_trade_time": "2026-08-03T14:14:43", "percent_change": -0.647547, "prev_day_close": 27.0249996185303}, {"option": "DRAM271217P00035000", "bid": 7.7, "bid_size": 510.0, "ask": 8.9, "ask_size": 1120.0, "iv": 0.839, "open_interest": 189.0, "volume": 3.0, "delta": -0.1774, "gamma": 0.0053, "vega": 0.1556, "theta": -0.0126, "rho": -0.1941, "theo": 8.387, "change": -0.375, "open": 8.4, "high": 8.4, "low": 8.2, "tick": "no_change", "last_trade_price": 8.2, "last_trade_time": "2026-08-03T15:37:51", "percent_change": -4.37318, "prev_day_close": 8.5750002861023}, {"option": "DRAM271217C00040000", "bid": 23.05, "bid_size": 602.0, "ask": 25.5, "ask_size": 826.0, "iv": 0.8496, "open_interest": 207.0, "volume": 15.0, "delta": 0.7876, "gamma": 0.0057, "vega": 0.1723, "theta": -0.0117, "rho": 0.2208, "theo": 24.1417, "change": -0.77, "open": 22.3, "high": 24.75, "low": 22.3, "tick": "down", "last_trade_price": 24.08, "last_trade_time": "2026-08-03T15:54:19", "percent_change": -3.09859, "prev_day_close": 24.8500003814697}, {"option": "DRAM271217P00040000", "bid": 8.75, "bid_size": 1616.0, "ask": 11.6, "ask_size": 1165.0, "iv": 0.7962, "open_interest": 184.0, "volume": 24.0, "delta": -0.2158, "gamma": 0.006, "vega": 0.1748, "theta": -0.0141, "rho": -0.2377, "theo": 10.9773, "change": -0.13, "open": 11.1, "high": 11.1, "low": 10.62, "tick": "down", "last_trade_price": 10.62, "last_trade_time": "2026-08-03T15:44:35", "percent_change": -1.2093, "prev_day_close": 10.75}, {"option": "DRAM271217C00045000", "bid": 20.0, "bid_size": 482.0, "ask": 24.85, "ask_size": 1310.0, "iv": 0.8511, "open_interest": 218.0, "volume": 54.0, "delta": 0.7518, "gamma": 0.0062, "vega": 0.1882, "theta": -0.0132, "rho": 0.222, "theo": 22.2212, "change": -1.56, "open": 20.7, "high": 22.1, "low": 20.7, "tick": "no_change", "last_trade_price": 21.44, "last_trade_time": "2026-08-03T12:00:06", "percent_change": -6.78261, "prev_day_close": 23.0}, {"option": "DRAM271217P00045000", "bid": 11.75, "bid_size": 1496.0, "ask": 15.15, "ask_size": 1647.0, "iv": 0.8205, "open_interest": 120.0, "volume": 5.0, "delta": -0.2538, "gamma": 0.0066, "vega": 0.1908, "theta": -0.0153, "rho": -0.2807, "theo": 13.8283, "change": -0.305, "open": 13.67, "high": 13.67, "low": 13.6, "tick": "up", "last_trade_price": 13.67, "last_trade_time": "2026-08-03T15:37:51", "percent_change": -2.18247, "prev_day_close": 13.9750003814697}, {"option": "DRAM271217C00046000", "bid": 20.0, "bid_size": 536.0, "ask": 22.9, "ask_size": 427.0, "iv": 0.8185, "open_interest": 9.0, "volume": 0.0, "delta": 0.7448, "gamma": 0.0063, "vega": 0.1911, "theta": -0.0135, "rho": 0.2218, "theo": 21.8639, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.65, "last_trade_time": "2026-07-30T11:55:41", "percent_change": 0.0, "prev_day_close": 22.25}, {"option": "DRAM271217P00046000", "bid": 13.85, "bid_size": 148.0, "ask": 15.75, "ask_size": 1437.0, "iv": 0.8594, "open_interest": 46.0, "volume": 0.0, "delta": -0.2613, "gamma": 0.0067, "vega": 0.1937, "theta": -0.0155, "rho": -0.2888, "theo": 14.4271, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 16.34, "last_trade_time": "2026-07-28T10:38:03", "percent_change": 0.0, "prev_day_close": 14.8499999046326}, {"option": "DRAM271217C00047000", "bid": 20.55, "bid_size": 825.0, "ask": 22.55, "ask_size": 957.0, "iv": 0.8417, "open_interest": 158.0, "volume": 101.0, "delta": 0.7378, "gamma": 0.0064, "vega": 0.1938, "theta": -0.0138, "rho": 0.2216, "theo": 21.515, "change": -0.975, "open": 20.3, "high": 21.0, "low": 20.3, "tick": "up", "last_trade_price": 21.0, "last_trade_time": "2026-08-03T12:26:52", "percent_change": -4.43686, "prev_day_close": 21.9750003814697}, {"option": "DRAM271217P00047000", "bid": 14.35, "bid_size": 337.0, "ask": 15.7, "ask_size": 648.0, "iv": 0.8395, "open_interest": 6.0, "volume": 1.0, "delta": -0.2687, "gamma": 0.0068, "vega": 0.1964, "theta": -0.0157, "rho": -0.2969, "theo": 15.0345, "change": -0.045, "open": 15.23, "high": 15.23, "low": 15.23, "tick": "down", "last_trade_price": 15.23, "last_trade_time": "2026-08-03T10:47:01", "percent_change": -0.2946, "prev_day_close": 15.2750000953674}, {"option": "DRAM271217C00048000", "bid": 20.45, "bid_size": 415.0, "ask": 22.15, "ask_size": 514.0, "iv": 0.8462, "open_interest": 27.0, "volume": 2.0, "delta": 0.7309, "gamma": 0.0065, "vega": 0.1965, "theta": -0.014, "rho": 0.2214, "theo": 21.1743, "change": -1.375, "open": 20.55, "high": 20.55, "low": 20.55, "tick": "up", "last_trade_price": 20.55, "last_trade_time": "2026-08-03T12:05:54", "percent_change": -6.27138, "prev_day_close": 21.9250001907349}, {"option": "DRAM271217P00048000", "bid": 14.8, "bid_size": 420.0, "ask": 16.25, "ask_size": 657.0, "iv": 0.8335, "open_interest": 16.0, "volume": 1.0, "delta": -0.2761, "gamma": 0.0069, "vega": 0.199, "theta": -0.0159, "rho": -0.3056, "theo": 15.6503, "change": 0.015, "open": 15.74, "high": 15.74, "low": 15.74, "tick": "down", "last_trade_price": 15.74, "last_trade_time": "2026-08-03T11:04:54", "percent_change": 0.0953901, "prev_day_close": 15.7249999046326}, {"option": "DRAM271217C00049000", "bid": 20.2, "bid_size": 462.0, "ask": 23.25, "ask_size": 1111.0, "iv": 0.8843, "open_interest": 73.0, "volume": 4.0, "delta": 0.724, "gamma": 0.0066, "vega": 0.1989, "theta": -0.0143, "rho": 0.2212, "theo": 20.8415, "change": -1.375, "open": 21.4, "high": 21.4, "low": 20.15, "tick": "up", "last_trade_price": 20.25, "last_trade_time": "2026-08-03T12:16:10", "percent_change": -6.35838, "prev_day_close": 21.625}, {"option": "DRAM271217P00049000", "bid": 14.5, "bid_size": 1149.0, "ask": 17.75, "ask_size": 1573.0, "iv": 0.8323, "open_interest": 53.0, "volume": 0.0, "delta": -0.2835, "gamma": 0.007, "vega": 0.2014, "theta": -0.016, "rho": -0.3125, "theo": 16.2747, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 15.21, "last_trade_time": "2026-07-15T11:44:31", "percent_change": 0.0, "prev_day_close": 16.8000001907349}, {"option": "DRAM271217C00050000", "bid": 20.0, "bid_size": 475.0, "ask": 21.45, "ask_size": 917.0, "iv": 0.85, "open_interest": 418.0, "volume": 110.0, "delta": 0.7172, "gamma": 0.0066, "vega": 0.2014, "theta": -0.0145, "rho": 0.2209, "theo": 20.5162, "change": 0.6, "open": 18.3, "high": 21.3, "low": 18.3, "tick": "up", "last_trade_price": 21.3, "last_trade_time": "2026-08-03T15:48:06", "percent_change": 2.89855, "prev_day_close": 20.6999998092651}, {"option": "DRAM271217P00050000", "bid": 15.5, "bid_size": 891.0, "ask": 18.25, "ask_size": 1640.0, "iv": 0.838, "open_interest": 595.0, "volume": 2.0, "delta": -0.2908, "gamma": 0.0071, "vega": 0.2038, "theta": -0.0162, "rho": -0.3209, "theo": 16.9077, "change": -0.28, "open": 16.85, "high": 16.85, "low": 16.62, "tick": "down", "last_trade_price": 16.62, "last_trade_time": "2026-08-03T14:57:15", "percent_change": -1.6568, "prev_day_close": 16.8999996185303}, {"option": "DRAM271217C00051000", "bid": 19.15, "bid_size": 495.0, "ask": 20.6, "ask_size": 85.0, "iv": 0.8238, "open_interest": 38.0, "volume": 12.0, "delta": 0.7105, "gamma": 0.0067, "vega": 0.2036, "theta": -0.0148, "rho": 0.2205, "theo": 20.1983, "change": -1.775, "open": 19.0, "high": 19.0, "low": 19.0, "tick": "no_change", "last_trade_price": 19.0, "last_trade_time": "2026-08-03T11:28:32", "percent_change": -8.54392, "prev_day_close": 20.7749996185303}, {"option": "DRAM271217P00051000", "bid": 16.45, "bid_size": 645.0, "ask": 18.25, "ask_size": 931.0, "iv": 0.83, "open_interest": 4.0, "volume": 0.0, "delta": -0.2981, "gamma": 0.0072, "vega": 0.206, "theta": -0.0164, "rho": -0.329, "theo": 17.5482, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.2, "last_trade_time": "2026-07-28T11:04:56", "percent_change": 0.0, "prev_day_close": 17.75}, {"option": "DRAM271217C00052000", "bid": 19.45, "bid_size": 311.0, "ask": 21.1, "ask_size": 903.0, "iv": 0.8584, "open_interest": 51.0, "volume": 21.0, "delta": 0.7038, "gamma": 0.0068, "vega": 0.2058, "theta": -0.015, "rho": 0.2201, "theo": 19.8876, "change": -0.575, "open": 18.5, "high": 19.65, "low": 18.5, "tick": "up", "last_trade_price": 19.65, "last_trade_time": "2026-08-03T12:16:22", "percent_change": -2.84301, "prev_day_close": 20.2249994277954}, {"option": "DRAM271217P00052000", "bid": 17.45, "bid_size": 463.0, "ask": 18.9, "ask_size": 915.0, "iv": 0.8385, "open_interest": 18.0, "volume": 0.0, "delta": -0.3053, "gamma": 0.0073, "vega": 0.2081, "theta": -0.0166, "rho": -0.3362, "theo": 18.1969, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.4, "last_trade_time": "2026-07-30T15:06:48", "percent_change": 0.0, "prev_day_close": 18.3000001907349}, {"option": "DRAM271217C00053000", "bid": 17.55, "bid_size": 772.0, "ask": 21.95, "ask_size": 1060.0, "iv": 0.8475, "open_interest": 158.0, "volume": 5.0, "delta": 0.6972, "gamma": 0.0068, "vega": 0.208, "theta": -0.0152, "rho": 0.2195, "theo": 19.5839, "change": -2.65, "open": 16.65, "high": 17.7, "low": 16.65, "tick": "up", "last_trade_price": 17.7, "last_trade_time": "2026-08-03T11:17:11", "percent_change": -13.0221, "prev_day_close": 20.3500003814697}, {"option": "DRAM271217P00053000", "bid": 18.15, "bid_size": 429.0, "ask": 20.1, "ask_size": 1299.0, "iv": 0.8525, "open_interest": 27.0, "volume": 0.0, "delta": -0.3125, "gamma": 0.0074, "vega": 0.2102, "theta": -0.0167, "rho": -0.345, "theo": 18.8532, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.2, "last_trade_time": "2026-07-27T14:53:24", "percent_change": 0.0, "prev_day_close": 18.75}, {"option": "DRAM271217C00054000", "bid": 17.0, "bid_size": 319.0, "ask": 20.0, "ask_size": 214.0, "iv": 0.8023, "open_interest": 20.0, "volume": 0.0, "delta": 0.6906, "gamma": 0.0069, "vega": 0.21, "theta": -0.0154, "rho": 0.2189, "theo": 19.2872, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.1, "last_trade_time": "2026-07-24T12:27:52", "percent_change": 0.0, "prev_day_close": 20.0500001907349}, {"option": "DRAM271217P00054000", "bid": 18.85, "bid_size": 89.0, "ask": 21.5, "ask_size": 898.0, "iv": 0.8704, "open_interest": 4.0, "volume": 0.0, "delta": -0.3198, "gamma": 0.0075, "vega": 0.2121, "theta": -0.0168, "rho": -0.3535, "theo": 19.5237, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.99, "last_trade_time": "2026-07-29T11:17:36", "percent_change": 0.0, "prev_day_close": 20.3500003814697}, {"option": "DRAM271217C00055000", "bid": 17.0, "bid_size": 1685.0, "ask": 20.25, "ask_size": 1226.0, "iv": 0.8221, "open_interest": 1092.0, "volume": 53.0, "delta": 0.6841, "gamma": 0.007, "vega": 0.2119, "theta": -0.0156, "rho": 0.2182, "theo": 18.9972, "change": -0.445, "open": 17.48, "high": 18.88, "low": 17.48, "tick": "up", "last_trade_price": 18.88, "last_trade_time": "2026-08-03T14:49:53", "percent_change": -2.30272, "prev_day_close": 19.3249998092651}, {"option": "DRAM271217P00055000", "bid": 19.55, "bid_size": 184.0, "ask": 20.8, "ask_size": 516.0, "iv": 0.839, "open_interest": 456.0, "volume": 0.0, "delta": -0.3267, "gamma": 0.0076, "vega": 0.2139, "theta": -0.017, "rho": -0.3607, "theo": 20.1874, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.5, "last_trade_time": "2026-07-31T10:18:37", "percent_change": 0.0, "prev_day_close": 20.1500005722046}, {"option": "DRAM271217C00056000", "bid": 17.0, "bid_size": 1152.0, "ask": 20.0, "ask_size": 1168.0, "iv": 0.8297, "open_interest": 193.0, "volume": 4.0, "delta": 0.6776, "gamma": 0.007, "vega": 0.2137, "theta": -0.0158, "rho": 0.2175, "theo": 18.7137, "change": -0.475, "open": 16.9, "high": 19.0, "low": 16.9, "tick": "up", "last_trade_price": 19.0, "last_trade_time": "2026-08-03T14:55:33", "percent_change": -2.43903, "prev_day_close": 19.4750003814697}, {"option": "DRAM271217P00056000", "bid": 19.6, "bid_size": 620.0, "ask": 23.0, "ask_size": 1144.0, "iv": 0.8598, "open_interest": 44.0, "volume": 0.0, "delta": -0.3337, "gamma": 0.0077, "vega": 0.2157, "theta": -0.0171, "rho": -0.3678, "theo": 20.8649, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.5, "last_trade_time": "2026-07-28T10:36:46", "percent_change": 0.0, "prev_day_close": 21.2749996185303}, {"option": "DRAM271217C00057000", "bid": 17.2, "bid_size": 903.0, "ask": 19.7, "ask_size": 948.0, "iv": 0.8403, "open_interest": 36.0, "volume": 20.0, "delta": 0.6713, "gamma": 0.0071, "vega": 0.2154, "theta": -0.016, "rho": 0.2168, "theo": 18.4366, "change": -2.025, "open": 17.0, "high": 17.0, "low": 17.0, "tick": "down", "last_trade_price": 17.0, "last_trade_time": "2026-08-03T09:30:52", "percent_change": -10.6439, "prev_day_close": 19.0249996185303}, {"option": "DRAM271217P00057000", "bid": 20.5, "bid_size": 354.0, "ask": 22.85, "ask_size": 572.0, "iv": 0.8455, "open_interest": 2.0, "volume": 0.0, "delta": -0.3406, "gamma": 0.0077, "vega": 0.2173, "theta": -0.0172, "rho": -0.3758, "theo": 21.549, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.1, "last_trade_time": "2026-06-10T15:34:08", "percent_change": 0.0, "prev_day_close": 21.0500001907349}, {"option": "DRAM271217C00058000", "bid": 17.25, "bid_size": 636.0, "ask": 19.7, "ask_size": 1018.0, "iv": 0.854, "open_interest": 67.0, "volume": 3.0, "delta": 0.665, "gamma": 0.0072, "vega": 0.2171, "theta": -0.0161, "rho": 0.2161, "theo": 18.1655, "change": -0.275, "open": 18.2, "high": 18.2, "low": 18.2, "tick": "down", "last_trade_price": 18.2, "last_trade_time": "2026-08-03T13:13:04", "percent_change": -1.4885, "prev_day_close": 18.4750003814697}, {"option": "DRAM271217P00058000", "bid": 20.75, "bid_size": 431.0, "ask": 23.85, "ask_size": 433.0, "iv": 0.8425, "open_interest": 3.0, "volume": 0.0, "delta": -0.3475, "gamma": 0.0078, "vega": 0.2188, "theta": -0.0173, "rho": -0.3829, "theo": 22.2401, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.2, "last_trade_time": "2026-07-15T11:13:41", "percent_change": 0.0, "prev_day_close": 21.7249994277954}, {"option": "DRAM271217C00059000", "bid": 17.55, "bid_size": 9.0, "ask": 18.5, "ask_size": 299.0, "iv": 0.8456, "open_interest": 47.0, "volume": 0.0, "delta": 0.6587, "gamma": 0.0072, "vega": 0.2187, "theta": -0.0163, "rho": 0.2153, "theo": 17.9004, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.58, "last_trade_time": "2026-07-28T13:25:55", "percent_change": 0.0, "prev_day_close": 18.9499998092651}, {"option": "DRAM271217P00059000", "bid": 21.25, "bid_size": 599.0, "ask": 24.65, "ask_size": 1013.0, "iv": 0.8404, "open_interest": 68.0, "volume": 0.0, "delta": -0.3543, "gamma": 0.0079, "vega": 0.2201, "theta": -0.0174, "rho": -0.3888, "theo": 22.9378, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.75, "last_trade_time": "2026-07-23T09:53:27", "percent_change": 0.0, "prev_day_close": 23.2250003814697}, {"option": "DRAM271217C00060000", "bid": 16.2, "bid_size": 897.0, "ask": 19.6, "ask_size": 1333.0, "iv": 0.8518, "open_interest": 1901.0, "volume": 354.0, "delta": 0.6525, "gamma": 0.0072, "vega": 0.2202, "theta": -0.0165, "rho": 0.2146, "theo": 17.6409, "change": -0.425, "open": 16.05, "high": 17.7, "low": 15.95, "tick": "up", "last_trade_price": 17.7, "last_trade_time": "2026-08-03T15:33:23", "percent_change": -2.34483, "prev_day_close": 18.125}, {"option": "DRAM271217P00060000", "bid": 22.05, "bid_size": 833.0, "ask": 24.45, "ask_size": 1036.0, "iv": 0.8224, "open_interest": 2094.0, "volume": 0.0, "delta": -0.3611, "gamma": 0.008, "vega": 0.2216, "theta": -0.0175, "rho": -0.3974, "theo": 23.6418, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.79, "last_trade_time": "2026-07-30T13:06:11", "percent_change": 0.0, "prev_day_close": 23.3000001907349}, {"option": "DRAM271217C00061000", "bid": 15.0, "bid_size": 513.0, "ask": 18.5, "ask_size": 1111.0, "iv": 0.8115, "open_interest": 195.0, "volume": 0.0, "delta": 0.6464, "gamma": 0.0073, "vega": 0.2216, "theta": -0.0166, "rho": 0.2138, "theo": 17.3871, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.33, "last_trade_time": "2026-07-27T11:52:22", "percent_change": 0.0, "prev_day_close": 17.9750003814697}, {"option": "DRAM271217P00061000", "bid": 23.15, "bid_size": 426.0, "ask": 26.25, "ask_size": 577.0, "iv": 0.8558, "open_interest": 14.0, "volume": 0.0, "delta": -0.3678, "gamma": 0.008, "vega": 0.2228, "theta": -0.0176, "rho": -0.4042, "theo": 24.3516, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.52, "last_trade_time": "2026-07-23T10:43:15", "percent_change": 0.0, "prev_day_close": 24.5}, {"option": "DRAM271217C00062000", "bid": 15.0, "bid_size": 322.0, "ask": 19.05, "ask_size": 507.0, "iv": 0.8352, "open_interest": 43.0, "volume": 0.0, "delta": 0.6404, "gamma": 0.0073, "vega": 0.2229, "theta": -0.0168, "rho": 0.213, "theo": 17.1386, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.99, "last_trade_time": "2026-07-29T15:57:44", "percent_change": 0.0, "prev_day_close": 17.5}, {"option": "DRAM271217P00062000", "bid": 22.5, "bid_size": 269.0, "ask": 27.5, "ask_size": 302.0, "iv": 0.8372, "open_interest": 4.0, "volume": 0.0, "delta": -0.3745, "gamma": 0.0081, "vega": 0.224, "theta": -0.0177, "rho": -0.4093, "theo": 25.0677, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.8, "last_trade_time": "2026-07-28T14:47:01", "percent_change": 0.0, "prev_day_close": 25.4250001907349}, {"option": "DRAM271217C00063000", "bid": 14.5, "bid_size": 394.0, "ask": 18.2, "ask_size": 859.0, "iv": 0.8162, "open_interest": 42.0, "volume": 0.0, "delta": 0.6344, "gamma": 0.0074, "vega": 0.2242, "theta": -0.0169, "rho": 0.212, "theo": 16.8955, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.0, "last_trade_time": "2026-07-31T12:06:51", "percent_change": 0.0, "prev_day_close": 16.9750003814697}, {"option": "DRAM271217P00063000", "bid": 23.15, "bid_size": 215.0, "ask": 28.0, "ask_size": 235.0, "iv": 0.8309, "open_interest": 1.0, "volume": 0.0, "delta": -0.3811, "gamma": 0.0081, "vega": 0.225, "theta": -0.0178, "rho": -0.4175, "theo": 25.7898, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.87, "last_trade_time": "2026-06-12T09:32:45", "percent_change": 0.0, "prev_day_close": 26.4499998092651}, {"option": "DRAM271217C00064000", "bid": 14.5, "bid_size": 1032.0, "ask": 17.95, "ask_size": 972.0, "iv": 0.8214, "open_interest": 52.0, "volume": 0.0, "delta": 0.6285, "gamma": 0.0074, "vega": 0.2254, "theta": -0.017, "rho": 0.2111, "theo": 16.6576, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.25, "last_trade_time": "2026-07-28T09:59:20", "percent_change": 0.0, "prev_day_close": 17.0}, {"option": "DRAM271217P00064000", "bid": 25.75, "bid_size": 145.0, "ask": 28.35, "ask_size": 515.0, "iv": 0.8641, "open_interest": 10.0, "volume": 0.0, "delta": -0.3876, "gamma": 0.0082, "vega": 0.2262, "theta": -0.0179, "rho": -0.4257, "theo": 26.5172, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 24.58, "last_trade_time": "2026-07-02T15:14:32", "percent_change": 0.0, "prev_day_close": 26.5499992370605}, {"option": "DRAM271217C00065000", "bid": 14.0, "bid_size": 1279.0, "ask": 17.85, "ask_size": 1361.0, "iv": 0.8188, "open_interest": 500.0, "volume": 4.0, "delta": 0.6227, "gamma": 0.0074, "vega": 0.2265, "theta": -0.0172, "rho": 0.2101, "theo": 16.4248, "change": -0.9, "open": 14.8, "high": 16.0, "low": 14.0, "tick": "up", "last_trade_price": 16.0, "last_trade_time": "2026-08-03T12:51:07", "percent_change": -5.32544, "prev_day_close": 16.9000000953674}, {"option": "DRAM271217P00065000", "bid": 26.05, "bid_size": 408.0, "ask": 29.2, "ask_size": 572.0, "iv": 0.8572, "open_interest": 427.0, "volume": 0.0, "delta": -0.3941, "gamma": 0.0083, "vega": 0.227, "theta": -0.0179, "rho": -0.4319, "theo": 27.2502, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.35, "last_trade_time": "2026-07-30T12:08:39", "percent_change": 0.0, "prev_day_close": 27.3249998092651}, {"option": "DRAM271217C00066000", "bid": 15.0, "bid_size": 865.0, "ask": 17.1, "ask_size": 823.0, "iv": 0.8345, "open_interest": 75.0, "volume": 4.0, "delta": 0.6169, "gamma": 0.0075, "vega": 0.2276, "theta": -0.0173, "rho": 0.2091, "theo": 16.1969, "change": -0.58, "open": 15.8, "high": 15.82, "low": 15.8, "tick": "up", "last_trade_price": 15.82, "last_trade_time": "2026-08-03T11:28:06", "percent_change": -3.53659, "prev_day_close": 16.4000000953674}, {"option": "DRAM271217P00066000", "bid": 26.8, "bid_size": 342.0, "ask": 29.9, "ask_size": 451.0, "iv": 0.8568, "open_interest": 2.0, "volume": 0.0, "delta": -0.4005, "gamma": 0.0083, "vega": 0.2279, "theta": -0.018, "rho": -0.4368, "theo": 27.9888, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.5, "last_trade_time": "2026-06-23T09:30:16", "percent_change": 0.0, "prev_day_close": 27.75}, {"option": "DRAM271217C00067000", "bid": 14.8, "bid_size": 790.0, "ask": 16.75, "ask_size": 424.0, "iv": 0.8324, "open_interest": 30.0, "volume": 0.0, "delta": 0.6112, "gamma": 0.0075, "vega": 0.2286, "theta": -0.0174, "rho": 0.2081, "theo": 15.9739, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.0, "last_trade_time": "2026-07-28T10:16:02", "percent_change": 0.0, "prev_day_close": 16.0749998092651}, {"option": "DRAM271217P00067000", "bid": 27.55, "bid_size": 379.0, "ask": 30.55, "ask_size": 507.0, "iv": 0.855, "open_interest": 21.0, "volume": 0.0, "delta": -0.4068, "gamma": 0.0084, "vega": 0.2287, "theta": -0.0181, "rho": -0.4436, "theo": 28.7324, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.39, "last_trade_time": "2026-06-29T11:04:44", "percent_change": 0.0, "prev_day_close": 29.0249996185303}, {"option": "DRAM271217C00068000", "bid": 14.9, "bid_size": 548.0, "ask": 16.45, "ask_size": 341.0, "iv": 0.8378, "open_interest": 63.0, "volume": 0.0, "delta": 0.6055, "gamma": 0.0076, "vega": 0.2295, "theta": -0.0175, "rho": 0.2071, "theo": 15.7555, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.18, "last_trade_time": "2026-07-30T12:42:41", "percent_change": 0.0, "prev_day_close": 16.3000001907349}, {"option": "DRAM271217P00068000", "bid": 28.05, "bid_size": 409.0, "ask": 31.5, "ask_size": 526.0, "iv": 0.8541, "open_interest": 2.0, "volume": 0.0, "delta": -0.4131, "gamma": 0.0084, "vega": 0.2295, "theta": -0.0181, "rho": -0.4507, "theo": 29.4809, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.8, "last_trade_time": "2026-06-26T09:40:21", "percent_change": 0.0, "prev_day_close": 29.3999996185303}, {"option": "DRAM271217C00069000", "bid": 15.3, "bid_size": 2.0, "ask": 16.3, "ask_size": 402.0, "iv": 0.8527, "open_interest": 76.0, "volume": 4.0, "delta": 0.6, "gamma": 0.0076, "vega": 0.2304, "theta": -0.0176, "rho": 0.2061, "theo": 15.5417, "change": -1.285, "open": 14.5, "high": 14.69, "low": 14.41, "tick": "up", "last_trade_price": 14.69, "last_trade_time": "2026-08-03T11:49:36", "percent_change": -8.04382, "prev_day_close": 15.9749994277954}, {"option": "DRAM271217P00069000", "bid": 28.8, "bid_size": 419.0, "ask": 32.45, "ask_size": 469.0, "iv": 0.8585, "open_interest": 5.0, "volume": 0.0, "delta": -0.4194, "gamma": 0.0085, "vega": 0.2301, "theta": -0.0182, "rho": -0.4562, "theo": 30.2346, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.99, "last_trade_time": "2026-07-02T11:45:57", "percent_change": 0.0, "prev_day_close": 29.5999994277954}, {"option": "DRAM271217C00070000", "bid": 13.0, "bid_size": 733.0, "ask": 16.65, "ask_size": 1280.0, "iv": 0.8198, "open_interest": 1043.0, "volume": 106.0, "delta": 0.5944, "gamma": 0.0076, "vega": 0.2312, "theta": -0.0177, "rho": 0.2051, "theo": 15.3322, "change": -0.1, "open": 13.65, "high": 15.15, "low": 13.65, "tick": "no_change", "last_trade_price": 15.15, "last_trade_time": "2026-08-03T15:42:09", "percent_change": -0.655738, "prev_day_close": 15.25}, {"option": "DRAM271217P00070000", "bid": 29.8, "bid_size": 480.0, "ask": 32.1, "ask_size": 633.0, "iv": 0.8398, "open_interest": 265.0, "volume": 0.0, "delta": -0.4255, "gamma": 0.0085, "vega": 0.2306, "theta": -0.0182, "rho": -0.4591, "theo": 30.9933, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 29.68, "last_trade_time": "2026-07-31T09:31:30", "percent_change": 0.0, "prev_day_close": 30.8500003814697}, {"option": "DRAM271217C00075000", "bid": 12.05, "bid_size": 1296.0, "ask": 15.45, "ask_size": 1162.0, "iv": 0.8175, "open_interest": 328.0, "volume": 8.0, "delta": 0.5679, "gamma": 0.0077, "vega": 0.2345, "theta": -0.0181, "rho": 0.2, "theo": 14.346, "change": -0.07, "open": 12.9, "high": 14.43, "low": 12.9, "tick": "up", "last_trade_price": 14.43, "last_trade_time": "2026-08-03T13:49:14", "percent_change": -0.482759, "prev_day_close": 14.5}, {"option": "DRAM271217P00075000", "bid": 33.75, "bid_size": 329.0, "ask": 36.0, "ask_size": 440.0, "iv": 0.8436, "open_interest": 32.0, "volume": 0.0, "delta": -0.4556, "gamma": 0.0087, "vega": 0.2324, "theta": -0.0183, "rho": -0.4894, "theo": 34.8569, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 37.92, "last_trade_time": "2026-07-29T15:53:13", "percent_change": 0.0, "prev_day_close": 35.25}, {"option": "DRAM271217C00080000", "bid": 12.4, "bid_size": 1003.0, "ask": 14.55, "ask_size": 1166.0, "iv": 0.8445, "open_interest": 977.0, "volume": 158.0, "delta": 0.543, "gamma": 0.0078, "vega": 0.2366, "theta": -0.0184, "rho": 0.1945, "theo": 13.4651, "change": -0.47, "open": 12.2, "high": 13.4, "low": 12.2, "tick": "down", "last_trade_price": 13.28, "last_trade_time": "2026-08-03T15:54:10", "percent_change": -3.41818, "prev_day_close": 13.75}, {"option": "DRAM271217P00080000", "bid": 36.95, "bid_size": 547.0, "ask": 39.75, "ask_size": 663.0, "iv": 0.8232, "open_interest": 123.0, "volume": 0.0, "delta": -0.4843, "gamma": 0.0089, "vega": 0.233, "theta": -0.0184, "rho": -0.5148, "theo": 38.8367, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 38.05, "last_trade_time": "2026-07-20T12:22:13", "percent_change": 0.0, "prev_day_close": 38.6749992370606}, {"option": "DRAM271217C00085000", "bid": 11.15, "bid_size": 1058.0, "ask": 13.9, "ask_size": 1223.0, "iv": 0.84, "open_interest": 88.0, "volume": 0.0, "delta": 0.5195, "gamma": 0.0078, "vega": 0.2378, "theta": -0.0186, "rho": 0.1891, "theo": 12.6554, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.3, "last_trade_time": "2026-07-30T11:42:52", "percent_change": 0.0, "prev_day_close": 12.9499998092651}, {"option": "DRAM271217P00085000", "bid": 41.8, "bid_size": 371.0, "ask": 45.0, "ask_size": 199.0, "iv": 0.8671, "open_interest": 4.0, "volume": 0.0, "delta": -0.5115, "gamma": 0.0091, "vega": 0.2319, "theta": -0.0183, "rho": -0.536, "theo": 42.9001, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.85, "last_trade_time": "2026-06-26T09:36:34", "percent_change": 0.0, "prev_day_close": 43.4750003814697}, {"option": "DRAM271217C00090000", "bid": 10.7, "bid_size": 798.0, "ask": 13.4, "ask_size": 1427.0, "iv": 0.8525, "open_interest": 338.0, "volume": 7.0, "delta": 0.4974, "gamma": 0.0078, "vega": 0.2381, "theta": -0.0188, "rho": 0.1837, "theo": 11.9178, "change": -0.235, "open": 11.35, "high": 11.69, "low": 11.35, "tick": "no_change", "last_trade_price": 11.69, "last_trade_time": "2026-08-03T14:25:03", "percent_change": -1.97065, "prev_day_close": 11.9250001907349}, {"option": "DRAM271217P00090000", "bid": 46.1, "bid_size": 307.0, "ask": 48.85, "ask_size": 420.0, "iv": 0.8655, "open_interest": 17.0, "volume": 0.0, "delta": -0.5375, "gamma": 0.0092, "vega": 0.2301, "theta": -0.0182, "rho": -0.5552, "theo": 47.0473, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 46.63, "last_trade_time": "2026-07-16T12:35:06", "percent_change": 0.0, "prev_day_close": 46.75}, {"option": "DRAM271217C00095000", "bid": 9.8, "bid_size": 783.0, "ask": 11.55, "ask_size": 1.0, "iv": 0.8248, "open_interest": 215.0, "volume": 0.0, "delta": 0.4765, "gamma": 0.0077, "vega": 0.2375, "theta": -0.0188, "rho": 0.1779, "theo": 11.235, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 11.7, "last_trade_time": "2026-07-31T12:56:37", "percent_change": 0.0, "prev_day_close": 11.5250000953674}, {"option": "DRAM271217P00095000", "bid": 50.2, "bid_size": 381.0, "ask": 52.35, "ask_size": 564.0, "iv": 0.8487, "open_interest": 132.0, "volume": 0.0, "delta": -0.5622, "gamma": 0.0093, "vega": 0.2275, "theta": -0.018, "rho": -0.5706, "theo": 51.2687, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 54.12, "last_trade_time": "2026-07-29T14:49:51", "percent_change": 0.0, "prev_day_close": 51.5}, {"option": "DRAM271217C00100000", "bid": 9.65, "bid_size": 714.0, "ask": 11.85, "ask_size": 1311.0, "iv": 0.855, "open_interest": 670.0, "volume": 106.0, "delta": 0.4571, "gamma": 0.0077, "vega": 0.2366, "theta": -0.0189, "rho": 0.1727, "theo": 10.6291, "change": -0.575, "open": 10.8, "high": 10.8, "low": 9.35, "tick": "down", "last_trade_price": 10.2, "last_trade_time": "2026-08-03T11:28:11", "percent_change": -5.33643, "prev_day_close": 10.7750000953674}, {"option": "DRAM271217P00100000", "bid": 54.45, "bid_size": 394.0, "ask": 56.7, "ask_size": 544.0, "iv": 0.8508, "open_interest": 18.0, "volume": 37.0, "delta": -0.5858, "gamma": 0.0094, "vega": 0.2239, "theta": -0.0178, "rho": -0.5803, "theo": 55.5572, "change": 0.025, "open": 56.05, "high": 56.1, "low": 56.05, "tick": "no_change", "last_trade_price": 56.1, "last_trade_time": "2026-08-03T10:32:04", "percent_change": 0.0445818, "prev_day_close": 56.0750007629394}, {"option": "DRAM271217C00105000", "bid": 9.0, "bid_size": 831.0, "ask": 11.65, "ask_size": 1525.0, "iv": 0.8626, "open_interest": 236.0, "volume": 4.0, "delta": 0.4387, "gamma": 0.0076, "vega": 0.2353, "theta": -0.0188, "rho": 0.1676, "theo": 10.0639, "change": 0.075, "open": 10.2, "high": 10.2, "low": 10.2, "tick": "down", "last_trade_price": 10.2, "last_trade_time": "2026-08-03T14:38:12", "percent_change": 0.740741, "prev_day_close": 10.125}, {"option": "DRAM271217P00105000", "bid": 59.1, "bid_size": 228.0, "ask": 62.0, "ask_size": 466.0, "iv": 0.8805, "open_interest": 32.0, "volume": 0.0, "delta": -0.6083, "gamma": 0.0094, "vega": 0.2201, "theta": -0.0175, "rho": -0.5963, "theo": 59.9079, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 64.23, "last_trade_time": "2026-07-29T11:44:07", "percent_change": 0.0, "prev_day_close": 60.0249996185303}, {"option": "DRAM271217C00110000", "bid": 8.5, "bid_size": 554.0, "ask": 10.8, "ask_size": 1404.0, "iv": 0.8576, "open_interest": 2077.0, "volume": 1.0, "delta": 0.4214, "gamma": 0.0076, "vega": 0.2334, "theta": -0.0188, "rho": 0.1625, "theo": 9.5436, "change": -0.845, "open": 9.03, "high": 9.03, "low": 9.03, "tick": "down", "last_trade_price": 9.03, "last_trade_time": "2026-08-03T12:50:49", "percent_change": -8.55696, "prev_day_close": 9.875}, {"option": "DRAM271217P00110000", "bid": 62.85, "bid_size": 370.0, "ask": 66.5, "ask_size": 393.0, "iv": 0.8698, "open_interest": 0.0, "volume": 0.0, "delta": -0.6298, "gamma": 0.0095, "vega": 0.2154, "theta": -0.0172, "rho": -0.6071, "theo": 64.3133, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 63.8499984741211}, {"option": "DRAM271217C00115000", "bid": 8.05, "bid_size": 670.0, "ask": 10.3, "ask_size": 1210.0, "iv": 0.8594, "open_interest": 24.0, "volume": 2.0, "delta": 0.4051, "gamma": 0.0075, "vega": 0.2312, "theta": -0.0187, "rho": 0.1575, "theo": 9.0644, "change": -0.475, "open": 8.6, "high": 8.6, "low": 8.6, "tick": "down", "last_trade_price": 8.6, "last_trade_time": "2026-08-03T12:48:57", "percent_change": -5.23416, "prev_day_close": 9.07499980926514}, {"option": "DRAM271217P00115000", "bid": 68.15, "bid_size": 113.0, "ask": 70.65, "ask_size": 368.0, "iv": 0.8845, "open_interest": 1.0, "volume": 0.0, "delta": -0.6505, "gamma": 0.0095, "vega": 0.2094, "theta": -0.0169, "rho": -0.6056, "theo": 68.7681, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 59.8, "last_trade_time": "2026-06-29T09:58:23", "percent_change": 0.0, "prev_day_close": 69.2000007629394}, {"option": "DRAM271217C00122000", "bid": 7.45, "bid_size": 714.0, "ask": 9.5, "ask_size": 1243.0, "iv": 0.8577, "open_interest": 507.0, "volume": 38.0, "delta": 0.3839, "gamma": 0.0074, "vega": 0.2278, "theta": -0.0185, "rho": 0.1509, "theo": 8.4541, "change": -0.35, "open": 8.14, "high": 8.38, "low": 8.14, "tick": "no_change", "last_trade_price": 8.15, "last_trade_time": "2026-08-03T14:27:01", "percent_change": -4.11764, "prev_day_close": 8.49999976158142}, {"option": "DRAM271217P00122000", "bid": 74.45, "bid_size": 120.0, "ask": 76.25, "ask_size": 309.0, "iv": 0.8702, "open_interest": 1.0, "volume": 0.0, "delta": -0.6779, "gamma": 0.0096, "vega": 0.2004, "theta": -0.0164, "rho": -0.6047, "theo": 75.0805, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 65.04, "last_trade_time": "2026-06-23T14:39:53", "percent_change": 0.0, "prev_day_close": 75.375}, {"option": "DRAM280121C00020000", "bid": 34.3, "bid_size": 967.0, "ask": 36.0, "ask_size": 925.0, "iv": 0.8898, "open_interest": 1904.0, "volume": 25.0, "delta": 0.9288, "gamma": 0.0025, "vega": 0.0824, "theta": -0.0022, "rho": 0.1838, "theo": 34.925, "change": -0.3, "open": 32.66, "high": 35.15, "low": 32.66, "tick": "down", "last_trade_price": 35.0, "last_trade_time": "2026-08-03T14:28:20", "percent_change": -0.849862, "prev_day_close": 35.3000011444092}, {"option": "DRAM280121P00020000", "bid": 2.5, "bid_size": 1.0, "ask": 2.81, "ask_size": 6.0, "iv": 0.8576, "open_interest": 1219.0, "volume": 30.0, "delta": -0.07, "gamma": 0.0025, "vega": 0.0836, "theta": -0.0065, "rho": -0.0808, "theo": 2.6974, "change": -0.045, "open": 3.0, "high": 3.0, "low": 2.61, "tick": "down", "last_trade_price": 2.68, "last_trade_time": "2026-08-03T15:59:08", "percent_change": -1.65138, "prev_day_close": 2.72500002384186}, {"option": "DRAM280121C00021000", "bid": 32.5, "bid_size": 1015.0, "ask": 35.75, "ask_size": 864.0, "iv": 0.8416, "open_interest": 206.0, "volume": 0.0, "delta": 0.9226, "gamma": 0.0026, "vega": 0.088, "theta": -0.0028, "rho": 0.1885, "theo": 34.2861, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 35.15, "last_trade_time": "2026-07-31T10:32:40", "percent_change": 0.0, "prev_day_close": 34.7749996185303}, {"option": "DRAM280121P00021000", "bid": 2.74, "bid_size": 48.0, "ask": 3.6, "ask_size": 772.0, "iv": 0.8789, "open_interest": 25.0, "volume": 0.0, "delta": -0.0765, "gamma": 0.0027, "vega": 0.0894, "theta": -0.0069, "rho": -0.0885, "theo": 3.0014, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 3.2, "last_trade_time": "2026-07-31T09:45:03", "percent_change": 0.0, "prev_day_close": 3.29999995231628}, {"option": "DRAM280121C00022000", "bid": 32.0, "bid_size": 680.0, "ask": 35.0, "ask_size": 762.0, "iv": 0.8403, "open_interest": 154.0, "volume": 0.0, "delta": 0.9163, "gamma": 0.0028, "vega": 0.0936, "theta": -0.0033, "rho": 0.1929, "theo": 33.6624, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 28.85, "last_trade_time": "2026-07-29T12:45:59", "percent_change": 0.0, "prev_day_close": 34.25}, {"option": "DRAM280121P00022000", "bid": 2.89, "bid_size": 586.0, "ask": 4.5, "ask_size": 2091.0, "iv": 0.8972, "open_interest": 7.0, "volume": 3.0, "delta": -0.0831, "gamma": 0.0029, "vega": 0.0951, "theta": -0.0073, "rho": -0.0962, "theo": 3.3183, "change": -0.225, "open": 3.6, "high": 3.6, "low": 3.2, "tick": "down", "last_trade_price": 3.2, "last_trade_time": "2026-08-03T14:16:47", "percent_change": -6.56934, "prev_day_close": 3.42500007152557}, {"option": "DRAM280121C00023000", "bid": 32.5, "bid_size": 381.0, "ask": 33.85, "ask_size": 349.0, "iv": 0.868, "open_interest": 225.0, "volume": 0.0, "delta": 0.9098, "gamma": 0.003, "vega": 0.0991, "theta": -0.0038, "rho": 0.197, "theo": 33.0537, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 33.6, "last_trade_time": "2026-07-31T14:25:31", "percent_change": 0.0, "prev_day_close": 33.3500003814697}, {"option": "DRAM280121P00023000", "bid": 3.25, "bid_size": 439.0, "ask": 4.2, "ask_size": 978.0, "iv": 0.8632, "open_interest": 13.0, "volume": 0.0, "delta": -0.0898, "gamma": 0.0031, "vega": 0.1006, "theta": -0.0077, "rho": -0.1044, "theo": 3.65, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 3.72, "last_trade_time": "2026-07-31T09:45:03", "percent_change": 0.0, "prev_day_close": 3.77999997138977}, {"option": "DRAM280121C00024000", "bid": 31.9, "bid_size": 81.0, "ask": 33.5, "ask_size": 69.0, "iv": 0.8768, "open_interest": 40.0, "volume": 0.0, "delta": 0.9032, "gamma": 0.0032, "vega": 0.1045, "theta": -0.0043, "rho": 0.2009, "theo": 32.4595, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 37.05, "last_trade_time": "2026-07-31T09:30:39", "percent_change": 0.0, "prev_day_close": 32.8999996185303}, {"option": "DRAM280121P00024000", "bid": 3.45, "bid_size": 761.0, "ask": 4.2, "ask_size": 362.0, "iv": 0.8376, "open_interest": 92.0, "volume": 2.0, "delta": -0.0966, "gamma": 0.0033, "vega": 0.1061, "theta": -0.0081, "rho": -0.1126, "theo": 3.9966, "change": 0.07, "open": 4.37, "high": 4.37, "low": 4.37, "tick": "up", "last_trade_price": 4.37, "last_trade_time": "2026-08-03T09:53:20", "percent_change": 1.62791, "prev_day_close": 4.29999995231628}, {"option": "DRAM280121C00025000", "bid": 30.9, "bid_size": 921.0, "ask": 32.95, "ask_size": 749.0, "iv": 0.8563, "open_interest": 411.0, "volume": 0.0, "delta": 0.8966, "gamma": 0.0033, "vega": 0.1099, "theta": -0.0048, "rho": 0.2044, "theo": 31.8793, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.0, "last_trade_time": "2026-07-30T09:53:39", "percent_change": 0.0, "prev_day_close": 32.3999996185303}, {"option": "DRAM280121P00025000", "bid": 3.55, "bid_size": 876.0, "ask": 4.3, "ask_size": 1.0, "iv": 0.8129, "open_interest": 159.0, "volume": 672.0, "delta": -0.1035, "gamma": 0.0035, "vega": 0.1116, "theta": -0.0085, "rho": -0.1208, "theo": 4.3582, "change": -0.3, "open": 4.77, "high": 4.77, "low": 4.15, "tick": "no_change", "last_trade_price": 4.2, "last_trade_time": "2026-08-03T15:19:59", "percent_change": -6.66667, "prev_day_close": 4.5}, {"option": "DRAM280121C00026000", "bid": 29.7, "bid_size": 344.0, "ask": 32.85, "ask_size": 293.0, "iv": 0.8472, "open_interest": 21.0, "volume": 0.0, "delta": 0.8898, "gamma": 0.0035, "vega": 0.1152, "theta": -0.0052, "rho": 0.2076, "theo": 31.3132, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 47.0, "last_trade_time": "2026-06-23T09:30:17", "percent_change": 0.0, "prev_day_close": 31.9000005722046}, {"option": "DRAM280121P00026000", "bid": 4.3, "bid_size": 403.0, "ask": 5.25, "ask_size": 644.0, "iv": 0.854, "open_interest": 8.0, "volume": 0.0, "delta": -0.1105, "gamma": 0.0036, "vega": 0.1172, "theta": -0.0089, "rho": -0.1292, "theo": 4.7345, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 4.96, "last_trade_time": "2026-07-30T15:04:38", "percent_change": 0.0, "prev_day_close": 4.85000014305115}, {"option": "DRAM280121C00027000", "bid": 28.5, "bid_size": 148.0, "ask": 33.5, "ask_size": 162.0, "iv": 0.869, "open_interest": 37.0, "volume": 0.0, "delta": 0.883, "gamma": 0.0037, "vega": 0.1204, "theta": -0.0057, "rho": 0.2105, "theo": 30.7609, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 33.92, "last_trade_time": "2026-07-17T14:45:46", "percent_change": 0.0, "prev_day_close": 31.4750003814697}, {"option": "DRAM280121P00027000", "bid": 4.55, "bid_size": 256.0, "ask": 5.55, "ask_size": 388.0, "iv": 0.8429, "open_interest": 65.0, "volume": 0.0, "delta": -0.1176, "gamma": 0.0038, "vega": 0.1222, "theta": -0.0093, "rho": -0.1378, "theo": 5.1253, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 5.85, "last_trade_time": "2026-07-29T09:46:51", "percent_change": 0.0, "prev_day_close": 5.375}, {"option": "DRAM280121C00028000", "bid": 29.6, "bid_size": 433.0, "ask": 31.0, "ask_size": 473.0, "iv": 0.854, "open_interest": 145.0, "volume": 0.0, "delta": 0.8761, "gamma": 0.0038, "vega": 0.1254, "theta": -0.0062, "rho": 0.2133, "theo": 30.222, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.55, "last_trade_time": "2026-07-28T12:25:27", "percent_change": 0.0, "prev_day_close": 30.625}, {"option": "DRAM280121P00028000", "bid": 5.15, "bid_size": 165.0, "ask": 6.8, "ask_size": 2072.0, "iv": 0.8832, "open_interest": 214.0, "volume": 0.0, "delta": -0.1246, "gamma": 0.004, "vega": 0.1274, "theta": -0.0097, "rho": -0.1466, "theo": 5.5235, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 5.81, "last_trade_time": "2026-07-30T15:04:38", "percent_change": 0.0, "prev_day_close": 5.84999990463257}, {"option": "DRAM280121C00029000", "bid": 29.35, "bid_size": 97.0, "ask": 30.85, "ask_size": 276.0, "iv": 0.8776, "open_interest": 13.0, "volume": 3.0, "delta": 0.8691, "gamma": 0.004, "vega": 0.1303, "theta": -0.0066, "rho": 0.2158, "theo": 29.6961, "change": -0.88, "open": 29.55, "high": 29.55, "low": 29.52, "tick": "down", "last_trade_price": 29.52, "last_trade_time": "2026-08-03T15:17:06", "percent_change": -2.89474, "prev_day_close": 30.3999996185303}, {"option": "DRAM280121P00029000", "bid": 5.35, "bid_size": 726.0, "ask": 7.2, "ask_size": 2223.0, "iv": 0.8719, "open_interest": 18.0, "volume": 60.0, "delta": -0.1318, "gamma": 0.0042, "vega": 0.1324, "theta": -0.01, "rho": -0.1554, "theo": 5.9407, "change": -0.425, "open": 5.7, "high": 5.84, "low": 5.7, "tick": "down", "last_trade_price": 5.7, "last_trade_time": "2026-08-03T15:37:51", "percent_change": -6.93878, "prev_day_close": 6.125}, {"option": "DRAM280121C00030000", "bid": 27.95, "bid_size": 927.0, "ask": 30.2, "ask_size": 697.0, "iv": 0.8376, "open_interest": 929.0, "volume": 13.0, "delta": 0.8621, "gamma": 0.0041, "vega": 0.1351, "theta": -0.007, "rho": 0.2182, "theo": 29.1827, "change": -0.15, "open": 27.52, "high": 29.3, "low": 26.6, "tick": "up", "last_trade_price": 29.3, "last_trade_time": "2026-08-03T15:46:41", "percent_change": -0.509337, "prev_day_close": 29.4499998092651}, {"option": "DRAM280121P00030000", "bid": 6.0, "bid_size": 239.0, "ask": 6.55, "ask_size": 250.0, "iv": 0.8386, "open_interest": 4405.0, "volume": 28.0, "delta": -0.1391, "gamma": 0.0043, "vega": 0.1374, "theta": -0.0104, "rho": -0.1641, "theo": 6.3713, "change": -0.79, "open": 6.55, "high": 6.61, "low": 6.11, "tick": "down", "last_trade_price": 6.11, "last_trade_time": "2026-08-03T15:37:51", "percent_change": -11.4493, "prev_day_close": 6.90000009536743}, {"option": "DRAM280121C00031000", "bid": 28.3, "bid_size": 212.0, "ask": 29.7, "ask_size": 633.0, "iv": 0.8673, "open_interest": 94.0, "volume": 1.0, "delta": 0.8551, "gamma": 0.0043, "vega": 0.1398, "theta": -0.0075, "rho": 0.2202, "theo": 28.6817, "change": -0.55, "open": 28.5, "high": 28.5, "low": 28.5, "tick": "down", "last_trade_price": 28.5, "last_trade_time": "2026-08-03T13:24:27", "percent_change": -1.89328, "prev_day_close": 29.0499992370606}, {"option": "DRAM280121P00031000", "bid": 5.6, "bid_size": 1309.0, "ask": 7.55, "ask_size": 1702.0, "iv": 0.8272, "open_interest": 1092.0, "volume": 2.0, "delta": -0.1467, "gamma": 0.0045, "vega": 0.1423, "theta": -0.0107, "rho": -0.173, "theo": 6.8217, "change": -0.7, "open": 6.65, "high": 6.65, "low": 6.65, "tick": "no_change", "last_trade_price": 6.65, "last_trade_time": "2026-08-03T15:37:51", "percent_change": -9.52381, "prev_day_close": 7.34999990463257}, {"option": "DRAM280121C00032000", "bid": 27.8, "bid_size": 272.0, "ask": 29.6, "ask_size": 740.0, "iv": 0.8788, "open_interest": 80.0, "volume": 1.0, "delta": 0.8481, "gamma": 0.0044, "vega": 0.1445, "theta": -0.0079, "rho": 0.222, "theo": 28.1929, "change": -0.25, "open": 28.5, "high": 28.5, "low": 28.5, "tick": "down", "last_trade_price": 28.5, "last_trade_time": "2026-08-03T13:56:47", "percent_change": -0.869565, "prev_day_close": 28.75}, {"option": "DRAM280121P00032000", "bid": 6.55, "bid_size": 728.0, "ask": 7.5, "ask_size": 309.0, "iv": 0.8264, "open_interest": 25.0, "volume": 0.0, "delta": -0.1541, "gamma": 0.0046, "vega": 0.1469, "theta": -0.0111, "rho": -0.1821, "theo": 7.2789, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 7.49, "last_trade_time": "2026-07-30T15:04:38", "percent_change": 0.0, "prev_day_close": 7.35000014305115}, {"option": "DRAM280121C00033000", "bid": 26.0, "bid_size": 481.0, "ask": 28.65, "ask_size": 218.0, "iv": 0.8166, "open_interest": 31.0, "volume": 0.0, "delta": 0.841, "gamma": 0.0046, "vega": 0.149, "theta": -0.0083, "rho": 0.2236, "theo": 27.7161, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.69, "last_trade_time": "2026-07-29T13:10:58", "percent_change": 0.0, "prev_day_close": 28.25}, {"option": "DRAM280121P00033000", "bid": 6.95, "bid_size": 839.0, "ask": 7.9, "ask_size": 127.0, "iv": 0.8215, "open_interest": 183.0, "volume": 0.0, "delta": -0.1615, "gamma": 0.0048, "vega": 0.1514, "theta": -0.0114, "rho": -0.1911, "theo": 7.7479, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 8.0, "last_trade_time": "2026-07-30T15:04:38", "percent_change": 0.0, "prev_day_close": 7.70000004768372}, {"option": "DRAM280121C00034000", "bid": 26.55, "bid_size": 323.0, "ask": 28.25, "ask_size": 541.0, "iv": 0.8519, "open_interest": 53.0, "volume": 1.0, "delta": 0.8339, "gamma": 0.0047, "vega": 0.1533, "theta": -0.0087, "rho": 0.2252, "theo": 27.2507, "change": -1.5, "open": 26.1, "high": 26.1, "low": 26.1, "tick": "up", "last_trade_price": 26.1, "last_trade_time": "2026-08-03T09:54:32", "percent_change": -5.43478, "prev_day_close": 27.6000003814697}, {"option": "DRAM280121P00034000", "bid": 7.3, "bid_size": 865.0, "ask": 8.75, "ask_size": 1072.0, "iv": 0.829, "open_interest": 20.0, "volume": 0.0, "delta": -0.1689, "gamma": 0.005, "vega": 0.1558, "theta": -0.0117, "rho": -0.2003, "theo": 8.2286, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 9.3, "last_trade_time": "2026-07-28T10:16:09", "percent_change": 0.0, "prev_day_close": 8.4500002861023}, {"option": "DRAM280121C00035000", "bid": 25.6, "bid_size": 1124.0, "ask": 27.75, "ask_size": 782.0, "iv": 0.8338, "open_interest": 818.0, "volume": 5.0, "delta": 0.8269, "gamma": 0.0048, "vega": 0.1575, "theta": -0.0091, "rho": 0.2266, "theo": 26.7963, "change": 0.125, "open": 26.3, "high": 27.0, "low": 25.9, "tick": "no_change", "last_trade_price": 27.0, "last_trade_time": "2026-08-03T14:33:41", "percent_change": 0.465116, "prev_day_close": 26.875}, {"option": "DRAM280121P00035000", "bid": 7.8, "bid_size": 933.0, "ask": 9.75, "ask_size": 2375.0, "iv": 0.8448, "open_interest": 1221.0, "volume": 26.0, "delta": -0.1764, "gamma": 0.0051, "vega": 0.1601, "theta": -0.012, "rho": -0.2092, "theo": 8.7211, "change": -0.125, "open": 8.93, "high": 9.0, "low": 8.58, "tick": "up", "last_trade_price": 9.0, "last_trade_time": "2026-08-03T14:31:54", "percent_change": -1.36986, "prev_day_close": 9.125}, {"option": "DRAM280121C00036000", "bid": 25.15, "bid_size": 1033.0, "ask": 27.3, "ask_size": 782.0, "iv": 0.833, "open_interest": 331.0, "volume": 25.0, "delta": 0.8198, "gamma": 0.005, "vega": 0.1615, "theta": -0.0094, "rho": 0.2278, "theo": 26.3527, "change": -0.45, "open": 24.8, "high": 26.3, "low": 24.8, "tick": "up", "last_trade_price": 26.3, "last_trade_time": "2026-08-03T14:20:58", "percent_change": -1.68224, "prev_day_close": 26.75}, {"option": "DRAM280121P00036000", "bid": 8.15, "bid_size": 682.0, "ask": 10.0, "ask_size": 1198.0, "iv": 0.8317, "open_interest": 1026.0, "volume": 0.0, "delta": -0.1838, "gamma": 0.0052, "vega": 0.1642, "theta": -0.0123, "rho": -0.2184, "theo": 9.2252, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.3, "last_trade_time": "2026-07-28T09:30:30", "percent_change": 0.0, "prev_day_close": 9.60000038146973}, {"option": "DRAM280121C00037000", "bid": 24.7, "bid_size": 662.0, "ask": 26.9, "ask_size": 672.0, "iv": 0.8331, "open_interest": 96.0, "volume": 13.0, "delta": 0.8128, "gamma": 0.0051, "vega": 0.1655, "theta": -0.0098, "rho": 0.2288, "theo": 25.9197, "change": -1.615, "open": 24.1, "high": 24.46, "low": 24.1, "tick": "up", "last_trade_price": 24.46, "last_trade_time": "2026-08-03T10:27:02", "percent_change": -6.19368, "prev_day_close": 26.0750007629395}, {"option": "DRAM280121P00037000", "bid": 8.25, "bid_size": 1644.0, "ask": 10.6, "ask_size": 1664.0, "iv": 0.8216, "open_interest": 45.0, "volume": 0.0, "delta": -0.1913, "gamma": 0.0054, "vega": 0.1683, "theta": -0.0126, "rho": -0.2272, "theo": 9.7405, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 10.7, "last_trade_time": "2026-07-29T15:06:47", "percent_change": 0.0, "prev_day_close": 9.5}, {"option": "DRAM280121C00038000", "bid": 24.8, "bid_size": 409.0, "ask": 27.4, "ask_size": 748.0, "iv": 0.8755, "open_interest": 135.0, "volume": 1.0, "delta": 0.8057, "gamma": 0.0052, "vega": 0.1694, "theta": -0.0102, "rho": 0.2296, "theo": 25.4971, "change": -1.635, "open": 24.39, "high": 24.39, "low": 24.39, "tick": "down", "last_trade_price": 24.39, "last_trade_time": "2026-08-03T11:26:14", "percent_change": -6.28242, "prev_day_close": 26.0249996185303}, {"option": "DRAM280121P00038000", "bid": 9.6, "bid_size": 608.0, "ask": 10.25, "ask_size": 1.0, "iv": 0.82, "open_interest": 3068.0, "volume": 11.0, "delta": -0.1987, "gamma": 0.0055, "vega": 0.1722, "theta": -0.0128, "rho": -0.2366, "theo": 10.2672, "change": -0.27, "open": 10.58, "high": 10.58, "low": 10.05, "tick": "up", "last_trade_price": 10.18, "last_trade_time": "2026-08-03T14:38:34", "percent_change": -2.58373, "prev_day_close": 10.4499998092651}, {"option": "DRAM280121C00039000", "bid": 24.5, "bid_size": 344.0, "ask": 25.8, "ask_size": 340.0, "iv": 0.8432, "open_interest": 94.0, "volume": 0.0, "delta": 0.7987, "gamma": 0.0053, "vega": 0.1731, "theta": -0.0105, "rho": 0.2303, "theo": 25.0846, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 25.72, "last_trade_time": "2026-07-31T15:00:12", "percent_change": 0.0, "prev_day_close": 25.4499998092651}, {"option": "DRAM280121P00039000", "bid": 9.25, "bid_size": 1536.0, "ask": 11.3, "ask_size": 970.0, "iv": 0.8094, "open_interest": 30.0, "volume": 0.0, "delta": -0.2061, "gamma": 0.0057, "vega": 0.1759, "theta": -0.0131, "rho": -0.2453, "theo": 10.8044, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 10.7, "last_trade_time": "2026-07-20T13:03:22", "percent_change": 0.0, "prev_day_close": 10.6500000953674}, {"option": "DRAM280121C00040000", "bid": 23.95, "bid_size": 592.0, "ask": 25.55, "ask_size": 855.0, "iv": 0.8428, "open_interest": 24260.0, "volume": 23.0, "delta": 0.7917, "gamma": 0.0054, "vega": 0.1767, "theta": -0.0108, "rho": 0.2309, "theo": 24.6819, "change": -0.8, "open": 22.9, "high": 24.4, "low": 22.9, "tick": "up", "last_trade_price": 24.15, "last_trade_time": "2026-08-03T12:42:32", "percent_change": -3.20641, "prev_day_close": 24.9499998092651}, {"option": "DRAM280121P00040000", "bid": 10.65, "bid_size": 604.0, "ask": 11.7, "ask_size": 781.0, "iv": 0.8292, "open_interest": 4544.0, "volume": 6.0, "delta": -0.2136, "gamma": 0.0058, "vega": 0.1795, "theta": -0.0133, "rho": -0.2547, "theo": 11.3513, "change": 0.025, "open": 12.15, "high": 12.15, "low": 11.3, "tick": "no_change", "last_trade_price": 11.35, "last_trade_time": "2026-08-03T14:58:28", "percent_change": 0.220752, "prev_day_close": 11.3249998092651}, {"option": "DRAM280121C00041000", "bid": 23.45, "bid_size": 575.0, "ask": 25.05, "ask_size": 553.0, "iv": 0.8365, "open_interest": 178.0, "volume": 0.0, "delta": 0.7848, "gamma": 0.0056, "vega": 0.1802, "theta": -0.0111, "rho": 0.2315, "theo": 24.2886, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.0, "last_trade_time": "2026-07-30T14:39:08", "percent_change": 0.0, "prev_day_close": 24.3249998092651}, {"option": "DRAM280121P00041000", "bid": 10.85, "bid_size": 853.0, "ask": 13.25, "ask_size": 1952.0, "iv": 0.8464, "open_interest": 777.0, "volume": 0.0, "delta": -0.221, "gamma": 0.0059, "vega": 0.183, "theta": -0.0136, "rho": -0.2637, "theo": 11.9081, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 11.89, "last_trade_time": "2026-07-20T11:10:40", "percent_change": 0.0, "prev_day_close": 11.625}, {"option": "DRAM280121C00042000", "bid": 22.65, "bid_size": 1308.0, "ask": 25.1, "ask_size": 1026.0, "iv": 0.8367, "open_interest": 957.0, "volume": 3.0, "delta": 0.7778, "gamma": 0.0057, "vega": 0.1835, "theta": -0.0114, "rho": 0.232, "theo": 23.9044, "change": -1.115, "open": 22.25, "high": 23.61, "low": 22.25, "tick": "up", "last_trade_price": 23.61, "last_trade_time": "2026-08-03T13:29:32", "percent_change": -4.50961, "prev_day_close": 24.7250003814697}, {"option": "DRAM280121P00042000", "bid": 11.6, "bid_size": 678.0, "ask": 13.8, "ask_size": 1578.0, "iv": 0.8504, "open_interest": 17.0, "volume": 0.0, "delta": -0.2283, "gamma": 0.006, "vega": 0.1863, "theta": -0.0138, "rho": -0.2726, "theo": 12.4747, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 14.39, "last_trade_time": "2026-07-29T11:07:02", "percent_change": 0.0, "prev_day_close": 12.375}, {"option": "DRAM280121C00043000", "bid": 21.5, "bid_size": 1253.0, "ask": 24.55, "ask_size": 848.0, "iv": 0.8112, "open_interest": 382.0, "volume": 1.0, "delta": 0.771, "gamma": 0.0058, "vega": 0.1867, "theta": -0.0117, "rho": 0.2323, "theo": 23.529, "change": -1.95, "open": 22.05, "high": 22.05, "low": 22.05, "tick": "down", "last_trade_price": 22.05, "last_trade_time": "2026-08-03T09:57:41", "percent_change": -8.125, "prev_day_close": 24.0}, {"option": "DRAM280121P00043000", "bid": 11.5, "bid_size": 628.0, "ask": 14.45, "ask_size": 1263.0, "iv": 0.834, "open_interest": 8284.0, "volume": 0.0, "delta": -0.2357, "gamma": 0.0062, "vega": 0.1896, "theta": -0.014, "rho": -0.282, "theo": 13.0511, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.6, "last_trade_time": "2026-07-30T15:42:47", "percent_change": 0.0, "prev_day_close": 13.1750001907349}, {"option": "DRAM280121C00044000", "bid": 22.55, "bid_size": 572.0, "ask": 23.9, "ask_size": 587.0, "iv": 0.8411, "open_interest": 333.0, "volume": 121.0, "delta": 0.7641, "gamma": 0.0059, "vega": 0.1898, "theta": -0.012, "rho": 0.2325, "theo": 23.1624, "change": -0.87, "open": 22.17, "high": 22.88, "low": 22.1, "tick": "up", "last_trade_price": 22.88, "last_trade_time": "2026-08-03T13:26:09", "percent_change": -3.66316, "prev_day_close": 23.75}, {"option": "DRAM280121P00044000", "bid": 12.15, "bid_size": 1470.0, "ask": 14.95, "ask_size": 1820.0, "iv": 0.8333, "open_interest": 65.0, "volume": 0.0, "delta": -0.243, "gamma": 0.0063, "vega": 0.1927, "theta": -0.0142, "rho": -0.2902, "theo": 13.6366, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.51, "last_trade_time": "2026-07-20T11:43:00", "percent_change": 0.0, "prev_day_close": 13.5499997138977}, {"option": "DRAM280121C00045000", "bid": 21.35, "bid_size": 1346.0, "ask": 24.15, "ask_size": 1341.0, "iv": 0.8348, "open_interest": 21021.0, "volume": 30.0, "delta": 0.7573, "gamma": 0.006, "vega": 0.1928, "theta": -0.0123, "rho": 0.2326, "theo": 22.8042, "change": -0.325, "open": 21.5, "high": 22.7, "low": 20.98, "tick": "up", "last_trade_price": 22.7, "last_trade_time": "2026-08-03T12:58:16", "percent_change": -1.41151, "prev_day_close": 23.0249996185303}, {"option": "DRAM280121P00045000", "bid": 13.1, "bid_size": 895.0, "ask": 14.6, "ask_size": 758.0, "iv": 0.8182, "open_interest": 288.0, "volume": 0.0, "delta": -0.2503, "gamma": 0.0064, "vega": 0.1957, "theta": -0.0145, "rho": -0.2991, "theo": 14.2317, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.0, "last_trade_time": "2026-07-31T12:52:16", "percent_change": 0.0, "prev_day_close": 14.3000001907349}, {"option": "DRAM280121C00046000", "bid": 20.25, "bid_size": 1434.0, "ask": 25.0, "ask_size": 1093.0, "iv": 0.8462, "open_interest": 521.0, "volume": 9.0, "delta": 0.7506, "gamma": 0.006, "vega": 0.1957, "theta": -0.0126, "rho": 0.2326, "theo": 22.4543, "change": -1.35, "open": 20.76, "high": 21.5, "low": 20.76, "tick": "up", "last_trade_price": 21.5, "last_trade_time": "2026-08-03T11:32:41", "percent_change": -5.9081, "prev_day_close": 22.8500003814697}, {"option": "DRAM280121P00046000", "bid": 14.25, "bid_size": 419.0, "ask": 16.0, "ask_size": 1548.0, "iv": 0.852, "open_interest": 22.0, "volume": 0.0, "delta": -0.2575, "gamma": 0.0065, "vega": 0.1986, "theta": -0.0146, "rho": -0.3081, "theo": 14.8356, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.1, "last_trade_time": "2026-07-28T12:20:05", "percent_change": 0.0, "prev_day_close": 15.0500001907349}, {"option": "DRAM280121C00047000", "bid": 20.0, "bid_size": 1350.0, "ask": 23.45, "ask_size": 1249.0, "iv": 0.8178, "open_interest": 319.0, "volume": 3.0, "delta": 0.7439, "gamma": 0.0061, "vega": 0.1985, "theta": -0.0128, "rho": 0.2324, "theo": 22.1125, "change": -2.075, "open": 21.2, "high": 21.2, "low": 20.54, "tick": "up", "last_trade_price": 20.55, "last_trade_time": "2026-08-03T10:09:23", "percent_change": -9.17127, "prev_day_close": 22.625}, {"option": "DRAM280121P00047000", "bid": 14.9, "bid_size": 303.0, "ask": 16.55, "ask_size": 1583.0, "iv": 0.8511, "open_interest": 80.0, "volume": 0.0, "delta": -0.2647, "gamma": 0.0066, "vega": 0.2013, "theta": -0.0148, "rho": -0.3164, "theo": 15.448, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.8, "last_trade_time": "2026-07-29T14:47:37", "percent_change": 0.0, "prev_day_close": 15.4250001907349}, {"option": "DRAM280121C00048000", "bid": 20.3, "bid_size": 966.0, "ask": 24.0, "ask_size": 1344.0, "iv": 0.8557, "open_interest": 370.0, "volume": 15.0, "delta": 0.7372, "gamma": 0.0062, "vega": 0.2012, "theta": -0.0131, "rho": 0.2323, "theo": 21.7786, "change": -0.475, "open": 20.26, "high": 22.0, "low": 20.25, "tick": "up", "last_trade_price": 22.0, "last_trade_time": "2026-08-03T14:19:33", "percent_change": -2.11346, "prev_day_close": 22.4750003814697}, {"option": "DRAM280121P00048000", "bid": 14.95, "bid_size": 989.0, "ask": 17.35, "ask_size": 1497.0, "iv": 0.8412, "open_interest": 330.0, "volume": 0.0, "delta": -0.2719, "gamma": 0.0067, "vega": 0.2039, "theta": -0.015, "rho": -0.3252, "theo": 16.0681, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.53, "last_trade_time": "2026-07-30T09:56:59", "percent_change": 0.0, "prev_day_close": 15.8249998092651}, {"option": "DRAM280121C00049000", "bid": 21.05, "bid_size": 354.0, "ask": 22.15, "ask_size": 609.0, "iv": 0.8443, "open_interest": 133.0, "volume": 26.0, "delta": 0.7306, "gamma": 0.0063, "vega": 0.2037, "theta": -0.0133, "rho": 0.2322, "theo": 21.4521, "change": -0.66, "open": 19.97, "high": 21.04, "low": 19.97, "tick": "up", "last_trade_price": 21.04, "last_trade_time": "2026-08-03T10:49:55", "percent_change": -3.04147, "prev_day_close": 21.6999998092651}, {"option": "DRAM280121P00049000", "bid": 15.85, "bid_size": 460.0, "ask": 17.5, "ask_size": 941.0, "iv": 0.836, "open_interest": 19.0, "volume": 0.0, "delta": -0.279, "gamma": 0.0068, "vega": 0.2064, "theta": -0.0152, "rho": -0.334, "theo": 16.6962, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.35, "last_trade_time": "2026-07-24T10:59:16", "percent_change": 0.0, "prev_day_close": 16.6749992370605}, {"option": "DRAM280121C00050000", "bid": 20.85, "bid_size": 23.0, "ask": 21.85, "ask_size": 726.0, "iv": 0.8475, "open_interest": 12647.0, "volume": 158.0, "delta": 0.7241, "gamma": 0.0064, "vega": 0.2062, "theta": -0.0136, "rho": 0.232, "theo": 21.1329, "change": 0.1, "open": 19.0, "high": 21.6, "low": 19.0, "tick": "no_change", "last_trade_price": 21.25, "last_trade_time": "2026-08-03T15:59:11", "percent_change": 0.472815, "prev_day_close": 21.1499996185303}, {"option": "DRAM280121P00050000", "bid": 16.65, "bid_size": 514.0, "ask": 17.6, "ask_size": 481.0, "iv": 0.8271, "open_interest": 4387.0, "volume": 2.0, "delta": -0.2861, "gamma": 0.0069, "vega": 0.2088, "theta": -0.0154, "rho": -0.3423, "theo": 17.3324, "change": 0.45, "open": 17.6, "high": 17.7, "low": 17.6, "tick": "up", "last_trade_price": 17.7, "last_trade_time": "2026-08-03T11:30:26", "percent_change": 2.6087, "prev_day_close": 17.25}, {"option": "DRAM280121C00051000", "bid": 20.1, "bid_size": 569.0, "ask": 21.5, "ask_size": 477.0, "iv": 0.836, "open_interest": 352.0, "volume": 5.0, "delta": 0.7176, "gamma": 0.0064, "vega": 0.2085, "theta": -0.0138, "rho": 0.2317, "theo": 20.8207, "change": 0.0, "open": 21.75, "high": 21.75, "low": 19.6, "tick": "up", "last_trade_price": 20.75, "last_trade_time": "2026-08-03T13:07:47", "percent_change": 0.0, "prev_day_close": 20.75}, {"option": "DRAM280121P00051000", "bid": 17.3, "bid_size": 493.0, "ask": 18.7, "ask_size": 1222.0, "iv": 0.8381, "open_interest": 622.0, "volume": 0.0, "delta": -0.2931, "gamma": 0.007, "vega": 0.2111, "theta": -0.0155, "rho": -0.3501, "theo": 17.9762, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.85, "last_trade_time": "2026-07-31T11:06:52", "percent_change": 0.0, "prev_day_close": 18.0}, {"option": "DRAM280121C00052000", "bid": 20.0, "bid_size": 500.0, "ask": 21.45, "ask_size": 995.0, "iv": 0.8469, "open_interest": 4289.0, "volume": 107.0, "delta": 0.7112, "gamma": 0.0065, "vega": 0.2108, "theta": -0.014, "rho": 0.2314, "theo": 20.5154, "change": 0.5, "open": 20.45, "high": 21.35, "low": 19.25, "tick": "up", "last_trade_price": 21.35, "last_trade_time": "2026-08-03T15:42:01", "percent_change": 2.39808, "prev_day_close": 20.8500003814697}, {"option": "DRAM280121P00052000", "bid": 17.8, "bid_size": 578.0, "ask": 19.85, "ask_size": 1204.0, "iv": 0.8462, "open_interest": 12.0, "volume": 0.0, "delta": -0.3001, "gamma": 0.0071, "vega": 0.2133, "theta": -0.0156, "rho": -0.3588, "theo": 18.6277, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 19.11, "last_trade_time": "2026-07-30T14:45:32", "percent_change": 0.0, "prev_day_close": 18.625}, {"option": "DRAM280121C00053000", "bid": 18.0, "bid_size": 1472.0, "ask": 22.5, "ask_size": 1188.0, "iv": 0.8385, "open_interest": 289.0, "volume": 19.0, "delta": 0.7048, "gamma": 0.0066, "vega": 0.213, "theta": -0.0142, "rho": 0.2309, "theo": 20.2168, "change": -0.75, "open": 18.61, "high": 19.55, "low": 18.61, "tick": "no_change", "last_trade_price": 19.55, "last_trade_time": "2026-08-03T12:05:28", "percent_change": -3.69458, "prev_day_close": 20.3000001907349}, {"option": "DRAM280121P00053000", "bid": 18.0, "bid_size": 719.0, "ask": 20.45, "ask_size": 1148.0, "iv": 0.8341, "open_interest": 16.0, "volume": 0.0, "delta": -0.3071, "gamma": 0.0072, "vega": 0.2154, "theta": -0.0158, "rho": -0.3662, "theo": 19.2864, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.5, "last_trade_time": "2026-07-30T15:36:11", "percent_change": 0.0, "prev_day_close": 19.125}, {"option": "DRAM280121C00054000", "bid": 18.35, "bid_size": 1110.0, "ask": 22.1, "ask_size": 1579.0, "iv": 0.8509, "open_interest": 224.0, "volume": 1.0, "delta": 0.6985, "gamma": 0.0066, "vega": 0.215, "theta": -0.0144, "rho": 0.2304, "theo": 19.9248, "change": -0.975, "open": 19.25, "high": 19.25, "low": 19.25, "tick": "down", "last_trade_price": 19.25, "last_trade_time": "2026-08-03T10:43:43", "percent_change": -4.82077, "prev_day_close": 20.2250003814697}, {"option": "DRAM280121P00054000", "bid": 19.2, "bid_size": 475.0, "ask": 21.2, "ask_size": 1665.0, "iv": 0.8483, "open_interest": 122.0, "volume": 0.0, "delta": -0.314, "gamma": 0.0073, "vega": 0.2174, "theta": -0.0159, "rho": -0.3751, "theo": 19.9529, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.26, "last_trade_time": "2026-07-31T15:37:08", "percent_change": 0.0, "prev_day_close": 20.25}, {"option": "DRAM280121C00055000", "bid": 18.65, "bid_size": 1211.0, "ask": 20.25, "ask_size": 585.0, "iv": 0.8282, "open_interest": 4855.0, "volume": 102.0, "delta": 0.6922, "gamma": 0.0067, "vega": 0.217, "theta": -0.0146, "rho": 0.2298, "theo": 19.6393, "change": -0.2, "open": 17.8, "high": 20.05, "low": 17.8, "tick": "down", "last_trade_price": 19.6, "last_trade_time": "2026-08-03T15:56:21", "percent_change": -1.0101, "prev_day_close": 19.8000001907349}, {"option": "DRAM280121P00055000", "bid": 20.05, "bid_size": 228.0, "ask": 21.75, "ask_size": 663.0, "iv": 0.8267, "open_interest": 573.0, "volume": 10.0, "delta": -0.3208, "gamma": 0.0073, "vega": 0.2193, "theta": -0.016, "rho": -0.3832, "theo": 20.6262, "change": -0.21, "open": 20.3, "high": 20.39, "low": 20.27, "tick": "up", "last_trade_price": 20.39, "last_trade_time": "2026-08-03T15:52:41", "percent_change": -1.01942, "prev_day_close": 20.6000003814697}, {"option": "DRAM280121C00056000", "bid": 19.0, "bid_size": 32.0, "ask": 21.8, "ask_size": 1384.0, "iv": 0.8848, "open_interest": 191.0, "volume": 2.0, "delta": 0.686, "gamma": 0.0068, "vega": 0.2189, "theta": -0.0148, "rho": 0.2291, "theo": 19.36, "change": 0.4, "open": 17.8, "high": 19.55, "low": 17.8, "tick": "up", "last_trade_price": 19.55, "last_trade_time": "2026-08-03T15:12:57", "percent_change": 2.08877, "prev_day_close": 19.1499996185303}, {"option": "DRAM280121P00056000", "bid": 19.75, "bid_size": 942.0, "ask": 23.1, "ask_size": 1371.0, "iv": 0.8424, "open_interest": 42.0, "volume": 0.0, "delta": -0.3276, "gamma": 0.0074, "vega": 0.221, "theta": -0.0162, "rho": -0.3901, "theo": 21.3061, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 21.81, "last_trade_time": "2026-07-30T13:46:53", "percent_change": 0.0, "prev_day_close": 21.1500005722046}, {"option": "DRAM280121C00057000", "bid": 17.25, "bid_size": 1232.0, "ask": 20.45, "ask_size": 1325.0, "iv": 0.8263, "open_interest": 170.0, "volume": 0.0, "delta": 0.6799, "gamma": 0.0068, "vega": 0.2207, "theta": -0.015, "rho": 0.2284, "theo": 19.0868, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.26, "last_trade_time": "2026-07-31T09:33:56", "percent_change": 0.0, "prev_day_close": 19.3499994277954}, {"option": "DRAM280121P00057000", "bid": 21.2, "bid_size": 364.0, "ask": 23.8, "ask_size": 913.0, "iv": 0.8599, "open_interest": 37.0, "volume": 0.0, "delta": -0.3343, "gamma": 0.0075, "vega": 0.2228, "theta": -0.0163, "rho": -0.3982, "theo": 21.9922, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.3, "last_trade_time": "2026-07-30T14:23:00", "percent_change": 0.0, "prev_day_close": 22.4749994277954}, {"option": "DRAM280121C00058000", "bid": 16.5, "bid_size": 941.0, "ask": 21.5, "ask_size": 1206.0, "iv": 0.8452, "open_interest": 367.0, "volume": 4.0, "delta": 0.6738, "gamma": 0.0069, "vega": 0.2225, "theta": -0.0151, "rho": 0.2278, "theo": 18.8195, "change": -1.145, "open": 18.32, "high": 18.33, "low": 18.32, "tick": "up", "last_trade_price": 18.33, "last_trade_time": "2026-08-03T11:28:06", "percent_change": -5.87933, "prev_day_close": 19.4749994277954}, {"option": "DRAM280121P00058000", "bid": 22.0, "bid_size": 346.0, "ask": 24.65, "ask_size": 1256.0, "iv": 0.8657, "open_interest": 131.0, "volume": 0.0, "delta": -0.341, "gamma": 0.0076, "vega": 0.2244, "theta": -0.0164, "rho": -0.4069, "theo": 22.6845, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.08, "last_trade_time": "2026-07-22T12:37:08", "percent_change": 0.0, "prev_day_close": 22.1750001907349}, {"option": "DRAM280121C00059000", "bid": 18.15, "bid_size": 245.0, "ask": 19.1, "ask_size": 270.0, "iv": 0.8402, "open_interest": 141.0, "volume": 0.0, "delta": 0.6678, "gamma": 0.0069, "vega": 0.2241, "theta": -0.0153, "rho": 0.2271, "theo": 18.5578, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.58, "last_trade_time": "2026-07-29T14:02:35", "percent_change": 0.0, "prev_day_close": 18.7749996185303}, {"option": "DRAM280121P00059000", "bid": 22.0, "bid_size": 388.0, "ask": 24.65, "ask_size": 533.0, "iv": 0.8346, "open_interest": 17.0, "volume": 0.0, "delta": -0.3476, "gamma": 0.0076, "vega": 0.2259, "theta": -0.0165, "rho": -0.4139, "theo": 23.3829, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.9, "last_trade_time": "2026-07-23T14:54:15", "percent_change": 0.0, "prev_day_close": 23.125}, {"option": "DRAM280121C00060000", "bid": 17.9, "bid_size": 447.0, "ask": 19.6, "ask_size": 1311.0, "iv": 0.8572, "open_interest": 13822.0, "volume": 794.0, "delta": 0.6619, "gamma": 0.007, "vega": 0.2257, "theta": -0.0154, "rho": 0.2265, "theo": 18.3016, "change": -0.295, "open": 17.0, "high": 18.6, "low": 16.59, "tick": "no_change", "last_trade_price": 18.13, "last_trade_time": "2026-08-03T15:25:01", "percent_change": -1.60108, "prev_day_close": 18.4249992370605}, {"option": "DRAM280121P00060000", "bid": 23.25, "bid_size": 393.0, "ask": 24.95, "ask_size": 904.0, "iv": 0.8378, "open_interest": 274.0, "volume": 0.0, "delta": -0.3541, "gamma": 0.0077, "vega": 0.2273, "theta": -0.0166, "rho": -0.4218, "theo": 24.0876, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 23.82, "last_trade_time": "2026-07-31T15:40:46", "percent_change": 0.0, "prev_day_close": 23.875}, {"option": "DRAM280121C00061000", "bid": 17.2, "bid_size": 717.0, "ask": 19.1, "ask_size": 1067.0, "iv": 0.8418, "open_interest": 250.0, "volume": 0.0, "delta": 0.656, "gamma": 0.007, "vega": 0.2272, "theta": -0.0156, "rho": 0.2258, "theo": 18.0507, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.15, "last_trade_time": "2026-07-29T09:54:46", "percent_change": 0.0, "prev_day_close": 17.8500003814697}, {"option": "DRAM280121P00061000", "bid": 23.6, "bid_size": 357.0, "ask": 26.45, "ask_size": 869.0, "iv": 0.8473, "open_interest": 107.0, "volume": 0.0, "delta": -0.3607, "gamma": 0.0078, "vega": 0.2286, "theta": -0.0167, "rho": -0.4278, "theo": 24.7981, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 23.45, "last_trade_time": "2026-07-15T15:20:03", "percent_change": 0.0, "prev_day_close": 25.25}, {"option": "DRAM280121C00062000", "bid": 15.5, "bid_size": 868.0, "ask": 19.1, "ask_size": 677.0, "iv": 0.8155, "open_interest": 239.0, "volume": 0.0, "delta": 0.6502, "gamma": 0.0071, "vega": 0.2286, "theta": -0.0157, "rho": 0.225, "theo": 17.805, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 15.0, "last_trade_time": "2026-07-29T12:00:04", "percent_change": 0.0, "prev_day_close": 18.0}, {"option": "DRAM280121P00062000", "bid": 23.1, "bid_size": 214.0, "ask": 28.0, "ask_size": 266.0, "iv": 0.8394, "open_interest": 24.0, "volume": 0.0, "delta": -0.3669, "gamma": 0.0078, "vega": 0.2299, "theta": -0.0167, "rho": -0.4363, "theo": 25.5066, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.17, "last_trade_time": "2026-07-21T12:15:48", "percent_change": 0.0, "prev_day_close": 25.375}, {"option": "DRAM280121C00063000", "bid": 16.35, "bid_size": 880.0, "ask": 18.85, "ask_size": 1115.0, "iv": 0.8392, "open_interest": 105.0, "volume": 0.0, "delta": 0.6444, "gamma": 0.0071, "vega": 0.23, "theta": -0.0159, "rho": 0.2242, "theo": 17.5644, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.5, "last_trade_time": "2026-07-31T12:18:25", "percent_change": 0.0, "prev_day_close": 18.25}, {"option": "DRAM280121P00063000", "bid": 23.5, "bid_size": 284.0, "ask": 28.45, "ask_size": 207.0, "iv": 0.8267, "open_interest": 19.0, "volume": 0.0, "delta": -0.3733, "gamma": 0.0079, "vega": 0.231, "theta": -0.0168, "rho": -0.4416, "theo": 26.2285, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 24.08, "last_trade_time": "2026-07-21T13:15:21", "percent_change": 0.0, "prev_day_close": 25.8249998092651}, {"option": "DRAM280121C00064000", "bid": 16.75, "bid_size": 390.0, "ask": 18.1, "ask_size": 695.0, "iv": 0.8419, "open_interest": 595.0, "volume": 0.0, "delta": 0.6388, "gamma": 0.0071, "vega": 0.2312, "theta": -0.016, "rho": 0.2233, "theo": 17.3287, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 14.4, "last_trade_time": "2026-07-29T12:21:32", "percent_change": 0.0, "prev_day_close": 17.625}, {"option": "DRAM280121P00064000", "bid": 24.5, "bid_size": 343.0, "ask": 28.45, "ask_size": 1342.0, "iv": 0.8171, "open_interest": 475.0, "volume": 0.0, "delta": -0.3797, "gamma": 0.008, "vega": 0.232, "theta": -0.0169, "rho": -0.4485, "theo": 26.9563, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 25.0, "last_trade_time": "2026-07-08T09:33:17", "percent_change": 0.0, "prev_day_close": 26.5749998092651}, {"option": "DRAM280121C00065000", "bid": 15.95, "bid_size": 1002.0, "ask": 18.5, "ask_size": 1424.0, "iv": 0.8434, "open_interest": 2497.0, "volume": 11.0, "delta": 0.6331, "gamma": 0.0072, "vega": 0.2324, "theta": -0.0161, "rho": 0.2224, "theo": 17.098, "change": -0.275, "open": 15.5, "high": 17.0, "low": 15.5, "tick": "up", "last_trade_price": 17.0, "last_trade_time": "2026-08-03T14:32:35", "percent_change": -1.59189, "prev_day_close": 17.2749996185303}, {"option": "DRAM280121P00065000", "bid": 27.0, "bid_size": 216.0, "ask": 28.65, "ask_size": 984.0, "iv": 0.8437, "open_interest": 360.0, "volume": 0.0, "delta": -0.386, "gamma": 0.008, "vega": 0.2332, "theta": -0.017, "rho": -0.4573, "theo": 27.6896, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 29.53, "last_trade_time": "2026-07-29T10:40:28", "percent_change": 0.0, "prev_day_close": 27.7749996185303}, {"option": "DRAM280121C00066000", "bid": 15.4, "bid_size": 1251.0, "ask": 18.15, "ask_size": 1398.0, "iv": 0.8339, "open_interest": 277.0, "volume": 11.0, "delta": 0.6276, "gamma": 0.0072, "vega": 0.2336, "theta": -0.0163, "rho": 0.2214, "theo": 16.872, "change": -0.4, "open": 15.25, "high": 16.65, "low": 15.25, "tick": "up", "last_trade_price": 16.65, "last_trade_time": "2026-08-03T14:36:37", "percent_change": -2.34604, "prev_day_close": 17.0500001907349}, {"option": "DRAM280121P00066000", "bid": 27.25, "bid_size": 574.0, "ask": 30.2, "ask_size": 1133.0, "iv": 0.8507, "open_interest": 611.0, "volume": 0.0, "delta": -0.3922, "gamma": 0.0081, "vega": 0.234, "theta": -0.017, "rho": -0.4638, "theo": 28.4282, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 22.85, "last_trade_time": "2026-06-29T12:25:37", "percent_change": 0.0, "prev_day_close": 28.4749994277954}, {"option": "DRAM280121C00067000", "bid": 15.35, "bid_size": 1072.0, "ask": 19.0, "ask_size": 1253.0, "iv": 0.8606, "open_interest": 225.0, "volume": 0.0, "delta": 0.622, "gamma": 0.0072, "vega": 0.2347, "theta": -0.0164, "rho": 0.2205, "theo": 16.6506, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 17.7, "last_trade_time": "2026-07-31T13:47:22", "percent_change": 0.0, "prev_day_close": 16.75}, {"option": "DRAM280121P00067000", "bid": 28.2, "bid_size": 367.0, "ask": 30.95, "ask_size": 653.0, "iv": 0.8554, "open_interest": 24.0, "volume": 0.0, "delta": -0.3984, "gamma": 0.0081, "vega": 0.2348, "theta": -0.0171, "rho": -0.469, "theo": 29.1717, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.4, "last_trade_time": "2026-07-10T09:31:40", "percent_change": 0.0, "prev_day_close": 29.3249998092651}, {"option": "DRAM280121C00068000", "bid": 14.9, "bid_size": 1213.0, "ask": 17.75, "ask_size": 1380.0, "iv": 0.8338, "open_interest": 183.0, "volume": 2.0, "delta": 0.6166, "gamma": 0.0073, "vega": 0.2357, "theta": -0.0165, "rho": 0.2195, "theo": 16.4337, "change": -0.2, "open": 14.75, "high": 16.6, "low": 14.75, "tick": "up", "last_trade_price": 16.6, "last_trade_time": "2026-08-03T14:53:54", "percent_change": -1.19048, "prev_day_close": 16.8000001907349}, {"option": "DRAM280121P00068000", "bid": 28.6, "bid_size": 437.0, "ask": 32.0, "ask_size": 227.0, "iv": 0.8545, "open_interest": 4.0, "volume": 0.0, "delta": -0.4045, "gamma": 0.0082, "vega": 0.2358, "theta": -0.0171, "rho": -0.4755, "theo": 29.92, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.93, "last_trade_time": "2026-07-23T12:49:25", "percent_change": 0.0, "prev_day_close": 29.8500003814697}, {"option": "DRAM280121C00069000", "bid": 15.3, "bid_size": 376.0, "ask": 18.5, "ask_size": 1132.0, "iv": 0.8673, "open_interest": 116.0, "volume": 5.0, "delta": 0.6112, "gamma": 0.0073, "vega": 0.2366, "theta": -0.0166, "rho": 0.2186, "theo": 16.2212, "change": -0.1, "open": 16.3, "high": 16.3, "low": 16.3, "tick": "up", "last_trade_price": 16.3, "last_trade_time": "2026-08-03T14:51:49", "percent_change": -0.609754, "prev_day_close": 16.3999996185303}, {"option": "DRAM280121P00069000", "bid": 29.3, "bid_size": 372.0, "ask": 32.1, "ask_size": 571.0, "iv": 0.8397, "open_interest": 24.0, "volume": 0.0, "delta": -0.4106, "gamma": 0.0082, "vega": 0.2365, "theta": -0.0172, "rho": -0.483, "theo": 30.6729, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.01, "last_trade_time": "2026-07-06T13:27:32", "percent_change": 0.0, "prev_day_close": 30.4750003814697}, {"option": "DRAM280121C00070000", "bid": 14.95, "bid_size": 851.0, "ask": 16.7, "ask_size": 818.0, "iv": 0.8308, "open_interest": 4298.0, "volume": 59.0, "delta": 0.6059, "gamma": 0.0073, "vega": 0.2376, "theta": -0.0167, "rho": 0.2176, "theo": 16.013, "change": 0.2, "open": 13.6, "high": 16.2, "low": 13.6, "tick": "up", "last_trade_price": 16.2, "last_trade_time": "2026-08-03T15:45:03", "percent_change": 1.25, "prev_day_close": 15.9999995231628}, {"option": "DRAM280121P00070000", "bid": 30.3, "bid_size": 402.0, "ask": 32.2, "ask_size": 511.0, "iv": 0.8312, "open_interest": 112.0, "volume": 0.0, "delta": -0.4166, "gamma": 0.0083, "vega": 0.2373, "theta": -0.0172, "rho": -0.4909, "theo": 31.4303, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 33.5, "last_trade_time": "2026-07-29T14:44:13", "percent_change": 0.0, "prev_day_close": 31.4249992370606}, {"option": "DRAM280121C00071000", "bid": 14.9, "bid_size": 711.0, "ask": 16.6, "ask_size": 812.0, "iv": 0.8365, "open_interest": 360.0, "volume": 6.0, "delta": 0.6007, "gamma": 0.0074, "vega": 0.2384, "theta": -0.0168, "rho": 0.2167, "theo": 15.8088, "change": -0.025, "open": 15.94, "high": 15.94, "low": 15.7, "tick": "no_change", "last_trade_price": 15.7, "last_trade_time": "2026-08-03T14:51:03", "percent_change": -0.158982, "prev_day_close": 15.7249999046326}, {"option": "DRAM280121P00071000", "bid": 30.9, "bid_size": 373.0, "ask": 34.0, "ask_size": 532.0, "iv": 0.8498, "open_interest": 3.0, "volume": 0.0, "delta": -0.4225, "gamma": 0.0083, "vega": 0.2378, "theta": -0.0172, "rho": -0.4952, "theo": 32.1924, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.0, "last_trade_time": "2026-07-02T12:37:14", "percent_change": 0.0, "prev_day_close": 32.3249998092651}, {"option": "DRAM280121C00072000", "bid": 13.5, "bid_size": 1330.0, "ask": 16.2, "ask_size": 617.0, "iv": 0.8076, "open_interest": 118.0, "volume": 0.0, "delta": 0.5955, "gamma": 0.0074, "vega": 0.2392, "theta": -0.0169, "rho": 0.2157, "theo": 15.6085, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.3, "last_trade_time": "2026-07-28T09:38:41", "percent_change": 0.0, "prev_day_close": 16.0250005722046}, {"option": "DRAM280121P00072000", "bid": 32.0, "bid_size": 318.0, "ask": 34.25, "ask_size": 487.0, "iv": 0.8461, "open_interest": 16.0, "volume": 0.0, "delta": -0.4284, "gamma": 0.0084, "vega": 0.2383, "theta": -0.0173, "rho": -0.5026, "theo": 32.9592, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 33.0, "last_trade_time": "2026-07-30T10:13:11", "percent_change": 0.0, "prev_day_close": 33.0749988555908}, {"option": "DRAM280121C00073000", "bid": 13.1, "bid_size": 588.0, "ask": 16.75, "ask_size": 811.0, "iv": 0.8191, "open_interest": 93.0, "volume": 0.0, "delta": 0.5903, "gamma": 0.0074, "vega": 0.24, "theta": -0.017, "rho": 0.2148, "theo": 15.4121, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 13.9, "last_trade_time": "2026-07-28T10:10:24", "percent_change": 0.0, "prev_day_close": 16.2249999046326}, {"option": "DRAM280121P00073000", "bid": 31.0, "bid_size": 232.0, "ask": 35.95, "ask_size": 212.0, "iv": 0.8286, "open_interest": 21.0, "volume": 0.0, "delta": -0.4343, "gamma": 0.0084, "vega": 0.2387, "theta": -0.0173, "rho": -0.5061, "theo": 33.7302, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 26.8, "last_trade_time": "2026-06-30T15:24:15", "percent_change": 0.0, "prev_day_close": 34.2250003814697}, {"option": "DRAM280121C00074000", "bid": 13.9, "bid_size": 589.0, "ask": 17.1, "ask_size": 1376.0, "iv": 0.8512, "open_interest": 69.0, "volume": 0.0, "delta": 0.5852, "gamma": 0.0074, "vega": 0.2407, "theta": -0.017, "rho": 0.2138, "theo": 15.2195, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.3, "last_trade_time": "2026-07-30T12:23:28", "percent_change": 0.0, "prev_day_close": 15.5000004768372}, {"option": "DRAM280121P00074000", "bid": 33.65, "bid_size": 244.0, "ask": 35.8, "ask_size": 487.0, "iv": 0.8487, "open_interest": 1.0, "volume": 0.0, "delta": -0.4401, "gamma": 0.0085, "vega": 0.239, "theta": -0.0173, "rho": -0.5142, "theo": 34.506, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.93, "last_trade_time": "2026-06-30T14:04:43", "percent_change": 0.0, "prev_day_close": 34.6499996185303}, {"option": "DRAM280121C00075000", "bid": 13.95, "bid_size": 804.0, "ask": 16.05, "ask_size": 1091.0, "iv": 0.8385, "open_interest": 1604.0, "volume": 36.0, "delta": 0.5802, "gamma": 0.0074, "vega": 0.2413, "theta": -0.0171, "rho": 0.2128, "theo": 15.0305, "change": -0.35, "open": 13.62, "high": 15.0, "low": 13.62, "tick": "up", "last_trade_price": 15.0, "last_trade_time": "2026-08-03T15:15:54", "percent_change": -2.28013, "prev_day_close": 15.3499999046326}, {"option": "DRAM280121P00075000", "bid": 34.55, "bid_size": 261.0, "ask": 36.35, "ask_size": 664.0, "iv": 0.8466, "open_interest": 62.0, "volume": 0.0, "delta": -0.4458, "gamma": 0.0085, "vega": 0.2395, "theta": -0.0173, "rho": -0.5187, "theo": 35.2856, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 34.71, "last_trade_time": "2026-07-17T15:21:37", "percent_change": 0.0, "prev_day_close": 35.5}, {"option": "DRAM280121C00076000", "bid": 13.45, "bid_size": 1147.0, "ask": 15.65, "ask_size": 941.0, "iv": 0.8278, "open_interest": 166.0, "volume": 0.0, "delta": 0.5753, "gamma": 0.0074, "vega": 0.2419, "theta": -0.0172, "rho": 0.2118, "theo": 14.8452, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.0, "last_trade_time": "2026-07-29T12:14:52", "percent_change": 0.0, "prev_day_close": 15.1750001907349}, {"option": "DRAM280121P00076000", "bid": 34.6, "bid_size": 431.0, "ask": 38.0, "ask_size": 464.0, "iv": 0.8496, "open_interest": 1.0, "volume": 0.0, "delta": -0.4515, "gamma": 0.0086, "vega": 0.2396, "theta": -0.0173, "rho": -0.5227, "theo": 36.0695, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.6, "last_trade_time": "2026-06-25T15:59:04", "percent_change": 0.0, "prev_day_close": 36.1000003814697}, {"option": "DRAM280121C00077000", "bid": 13.2, "bid_size": 310.0, "ask": 16.1, "ask_size": 810.0, "iv": 0.8396, "open_interest": 37.0, "volume": 0.0, "delta": 0.5704, "gamma": 0.0075, "vega": 0.2425, "theta": -0.0173, "rho": 0.2107, "theo": 14.6634, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.86, "last_trade_time": "2026-07-28T10:19:03", "percent_change": 0.0, "prev_day_close": 14.9499998092651}, {"option": "DRAM280121P00077000", "bid": 34.5, "bid_size": 232.0, "ask": 39.0, "ask_size": 223.0, "iv": 0.8357, "open_interest": 3.0, "volume": 0.0, "delta": -0.4572, "gamma": 0.0086, "vega": 0.2397, "theta": -0.0174, "rho": -0.5278, "theo": 36.858, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.33, "last_trade_time": "2026-06-26T11:02:36", "percent_change": 0.0, "prev_day_close": 36.8250007629394}, {"option": "DRAM280121C00078000", "bid": 12.35, "bid_size": 486.0, "ask": 15.9, "ask_size": 696.0, "iv": 0.8256, "open_interest": 70.0, "volume": 0.0, "delta": 0.5655, "gamma": 0.0075, "vega": 0.243, "theta": -0.0173, "rho": 0.2096, "theo": 14.4851, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.0, "last_trade_time": "2026-07-21T12:06:09", "percent_change": 0.0, "prev_day_close": 14.7750000953674}, {"option": "DRAM280121P00078000", "bid": 35.0, "bid_size": 231.0, "ask": 39.95, "ask_size": 206.0, "iv": 0.8331, "open_interest": 2.0, "volume": 0.0, "delta": -0.4628, "gamma": 0.0086, "vega": 0.2401, "theta": -0.0174, "rho": -0.5363, "theo": 37.6503, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 30.73, "last_trade_time": "2026-06-23T10:17:50", "percent_change": 0.0, "prev_day_close": 37.7749996185303}, {"option": "DRAM280121C00079000", "bid": 13.75, "bid_size": 409.0, "ask": 15.05, "ask_size": 880.0, "iv": 0.8438, "open_interest": 136.0, "volume": 0.0, "delta": 0.5609, "gamma": 0.0075, "vega": 0.2435, "theta": -0.0174, "rho": 0.2086, "theo": 14.3216, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.7, "last_trade_time": "2026-07-29T11:28:23", "percent_change": 0.0, "prev_day_close": 14.625}, {"option": "DRAM280121P00079000", "bid": 37.05, "bid_size": 395.0, "ask": 39.6, "ask_size": 414.0, "iv": 0.8356, "open_interest": 12.0, "volume": 0.0, "delta": -0.4683, "gamma": 0.0087, "vega": 0.2401, "theta": -0.0174, "rho": -0.5401, "theo": 38.4462, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 31.9, "last_trade_time": "2026-06-23T09:34:35", "percent_change": 0.0, "prev_day_close": 38.7749996185303}, {"option": "DRAM280121C00080000", "bid": 13.35, "bid_size": 421.0, "ask": 14.55, "ask_size": 200.0, "iv": 0.8327, "open_interest": 17891.0, "volume": 113.0, "delta": 0.5562, "gamma": 0.0075, "vega": 0.2439, "theta": -0.0175, "rho": 0.2075, "theo": 14.1499, "change": -0.35, "open": 13.05, "high": 14.15, "low": 12.5, "tick": "up", "last_trade_price": 14.0, "last_trade_time": "2026-08-03T15:55:32", "percent_change": -2.43903, "prev_day_close": 14.3500003814697}, {"option": "DRAM280121P00080000", "bid": 38.35, "bid_size": 370.0, "ask": 40.0, "ask_size": 507.0, "iv": 0.8379, "open_interest": 174.0, "volume": 0.0, "delta": -0.4738, "gamma": 0.0087, "vega": 0.2403, "theta": -0.0174, "rho": -0.5441, "theo": 39.2459, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 39.54, "last_trade_time": "2026-07-30T13:51:04", "percent_change": 0.0, "prev_day_close": 39.375}, {"option": "DRAM280121C00081000", "bid": 13.3, "bid_size": 533.0, "ask": 14.5, "ask_size": 268.0, "iv": 0.8378, "open_interest": 163.0, "volume": 0.0, "delta": 0.5515, "gamma": 0.0075, "vega": 0.2443, "theta": -0.0175, "rho": 0.2064, "theo": 13.9813, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 14.5, "last_trade_time": "2026-07-31T14:48:58", "percent_change": 0.0, "prev_day_close": 13.9500002861023}, {"option": "DRAM280121P00081000", "bid": 38.4, "bid_size": 415.0, "ask": 42.0, "ask_size": 507.0, "iv": 0.8474, "open_interest": 0.0, "volume": 0.0, "delta": -0.4792, "gamma": 0.0087, "vega": 0.2402, "theta": -0.0174, "rho": -0.5484, "theo": 40.0494, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 40.6499996185303}, {"option": "DRAM280121C00082000", "bid": 13.1, "bid_size": 442.0, "ask": 14.65, "ask_size": 902.0, "iv": 0.8437, "open_interest": 43.0, "volume": 0.0, "delta": 0.5468, "gamma": 0.0075, "vega": 0.2446, "theta": -0.0176, "rho": 0.2053, "theo": 13.816, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 13.0, "last_trade_time": "2026-07-31T10:27:50", "percent_change": 0.0, "prev_day_close": 14.2750000953674}, {"option": "DRAM280121P00082000", "bid": 38.45, "bid_size": 239.0, "ask": 42.15, "ask_size": 222.0, "iv": 0.8182, "open_interest": 0.0, "volume": 0.0, "delta": -0.4846, "gamma": 0.0088, "vega": 0.2403, "theta": -0.0174, "rho": -0.553, "theo": 40.8562, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 41.0499992370606}, {"option": "DRAM280121C00083000", "bid": 12.65, "bid_size": 191.0, "ask": 14.95, "ask_size": 890.0, "iv": 0.8475, "open_interest": 29.0, "volume": 0.0, "delta": 0.5423, "gamma": 0.0075, "vega": 0.245, "theta": -0.0176, "rho": 0.2043, "theo": 13.6536, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 12.0, "last_trade_time": "2026-07-28T10:16:09", "percent_change": 0.0, "prev_day_close": 13.9749999046326}, {"option": "DRAM280121P00083000", "bid": 39.0, "bid_size": 241.0, "ask": 43.95, "ask_size": 210.0, "iv": 0.8331, "open_interest": 0.0, "volume": 0.0, "delta": -0.4901, "gamma": 0.0088, "vega": 0.2402, "theta": -0.0174, "rho": -0.5592, "theo": 41.6772, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 41.3999996185303}, {"option": "DRAM280121C00084000", "bid": 12.05, "bid_size": 640.0, "ask": 14.2, "ask_size": 743.0, "iv": 0.8268, "open_interest": 9.0, "volume": 0.0, "delta": 0.5378, "gamma": 0.0075, "vega": 0.2452, "theta": -0.0177, "rho": 0.2032, "theo": 13.4943, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.4, "last_trade_time": "2026-07-07T13:55:04", "percent_change": 0.0, "prev_day_close": 13.8250002861023}, {"option": "DRAM280121P00084000", "bid": 40.7, "bid_size": 446.0, "ask": 44.5, "ask_size": 493.0, "iv": 0.8468, "open_interest": 10.0, "volume": 0.0, "delta": -0.4952, "gamma": 0.0088, "vega": 0.2403, "theta": -0.0173, "rho": -0.5664, "theo": 42.4796, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 39.5, "last_trade_time": "2026-06-05T13:48:10", "percent_change": 0.0, "prev_day_close": 43.0499992370606}, {"option": "DRAM280121C00085000", "bid": 11.9, "bid_size": 1201.0, "ask": 14.65, "ask_size": 1422.0, "iv": 0.8395, "open_interest": 397.0, "volume": 4.0, "delta": 0.5333, "gamma": 0.0075, "vega": 0.2455, "theta": -0.0177, "rho": 0.2022, "theo": 13.3378, "change": -0.945, "open": 12.21, "high": 12.58, "low": 12.21, "tick": "up", "last_trade_price": 12.58, "last_trade_time": "2026-08-03T11:13:25", "percent_change": -6.98706, "prev_day_close": 13.5249996185303}, {"option": "DRAM280121P00085000", "bid": 41.7, "bid_size": 454.0, "ask": 45.5, "ask_size": 195.0, "iv": 0.8547, "open_interest": 0.0, "volume": 0.0, "delta": -0.5005, "gamma": 0.0089, "vega": 0.2402, "theta": -0.0173, "rho": -0.5693, "theo": 43.2961, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 43.65, "last_trade_time": "2026-07-20T15:28:47", "percent_change": 0.0, "prev_day_close": 44.0249996185303}, {"option": "DRAM280121C00086000", "bid": 11.75, "bid_size": 661.0, "ask": 13.9, "ask_size": 766.0, "iv": 0.8277, "open_interest": 11.0, "volume": 0.0, "delta": 0.5289, "gamma": 0.0075, "vega": 0.2457, "theta": -0.0177, "rho": 0.2012, "theo": 13.184, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.23, "last_trade_time": "2026-07-06T15:29:44", "percent_change": 0.0, "prev_day_close": 13.4500002861023}, {"option": "DRAM280121P00086000", "bid": 42.0, "bid_size": 484.0, "ask": 45.95, "ask_size": 456.0, "iv": 0.8359, "open_interest": 0.0, "volume": 0.0, "delta": -0.5058, "gamma": 0.0089, "vega": 0.2397, "theta": -0.0173, "rho": -0.573, "theo": 44.1275, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 44.2250003814697}, {"option": "DRAM280121C00087000", "bid": 11.6, "bid_size": 605.0, "ask": 13.8, "ask_size": 822.0, "iv": 0.829, "open_interest": 17.0, "volume": 0.0, "delta": 0.5246, "gamma": 0.0076, "vega": 0.2459, "theta": -0.0178, "rho": 0.2001, "theo": 13.033, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 13.33, "last_trade_time": "2026-07-31T14:34:36", "percent_change": 0.0, "prev_day_close": 13.3499999046326}, {"option": "DRAM280121P00087000", "bid": 43.8, "bid_size": 62.0, "ask": 47.0, "ask_size": 178.0, "iv": 0.8617, "open_interest": 0.0, "volume": 0.0, "delta": -0.5108, "gamma": 0.0089, "vega": 0.2398, "theta": -0.0173, "rho": -0.5788, "theo": 44.9393, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 45.0249996185303}, {"option": "DRAM280121C00088000", "bid": 10.7, "bid_size": 439.0, "ask": 14.15, "ask_size": 745.0, "iv": 0.8241, "open_interest": 34.0, "volume": 0.0, "delta": 0.5203, "gamma": 0.0076, "vega": 0.2461, "theta": -0.0178, "rho": 0.1991, "theo": 12.8846, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 16.8, "last_trade_time": "2026-07-15T11:45:37", "percent_change": 0.0, "prev_day_close": 13.1750001907349}, {"option": "DRAM280121P00088000", "bid": 43.0, "bid_size": 243.0, "ask": 47.95, "ask_size": 201.0, "iv": 0.8301, "open_interest": 0.0, "volume": 0.0, "delta": -0.5161, "gamma": 0.009, "vega": 0.239, "theta": -0.0173, "rho": -0.5798, "theo": 45.7773, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 45.7749996185303}, {"option": "DRAM280121C00089000", "bid": 11.9, "bid_size": 480.0, "ask": 13.45, "ask_size": 752.0, "iv": 0.8404, "open_interest": 22.0, "volume": 0.0, "delta": 0.516, "gamma": 0.0076, "vega": 0.2462, "theta": -0.0178, "rho": 0.1981, "theo": 12.7389, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 16.52, "last_trade_time": "2026-07-15T11:55:55", "percent_change": 0.0, "prev_day_close": 13.1749997138977}, {"option": "DRAM280121P00089000", "bid": 45.55, "bid_size": 449.0, "ask": 48.4, "ask_size": 463.0, "iv": 0.8584, "open_interest": 0.0, "volume": 0.0, "delta": -0.5211, "gamma": 0.009, "vega": 0.2386, "theta": -0.0172, "rho": -0.5865, "theo": 46.6072, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 46.7250003814697}, {"option": "DRAM280121C00090000", "bid": 11.85, "bid_size": 572.0, "ask": 13.4, "ask_size": 1028.0, "iv": 0.8445, "open_interest": 45732.0, "volume": 17.0, "delta": 0.5118, "gamma": 0.0076, "vega": 0.2463, "theta": -0.0179, "rho": 0.197, "theo": 12.5956, "change": -0.25, "open": 14.0, "high": 14.0, "low": 11.37, "tick": "up", "last_trade_price": 12.6, "last_trade_time": "2026-08-03T15:45:43", "percent_change": -1.94552, "prev_day_close": 12.8499999046326}, {"option": "DRAM280121P00090000", "bid": 45.65, "bid_size": 456.0, "ask": 49.25, "ask_size": 489.0, "iv": 0.8437, "open_interest": 55.0, "volume": 0.0, "delta": -0.5261, "gamma": 0.009, "vega": 0.2386, "theta": -0.0172, "rho": -0.5881, "theo": 47.4397, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 47.54, "last_trade_time": "2026-07-30T13:51:04", "percent_change": 0.0, "prev_day_close": 47.4499988555908}, {"option": "DRAM280121C00095000", "bid": 11.2, "bid_size": 621.0, "ask": 12.05, "ask_size": 2.0, "iv": 0.8328, "open_interest": 324.0, "volume": 2.0, "delta": 0.4915, "gamma": 0.0075, "vega": 0.2463, "theta": -0.018, "rho": 0.1916, "theo": 11.9158, "change": -1.1, "open": 11.8, "high": 11.8, "low": 11.1, "tick": "down", "last_trade_price": 11.1, "last_trade_time": "2026-08-03T11:27:58", "percent_change": -9.01639, "prev_day_close": 12.1999998092651}, {"option": "DRAM280121P00095000", "bid": 50.75, "bid_size": 345.0, "ask": 52.65, "ask_size": 401.0, "iv": 0.8468, "open_interest": 13.0, "volume": 0.0, "delta": -0.5505, "gamma": 0.0091, "vega": 0.2359, "theta": -0.017, "rho": -0.6052, "theo": 51.648, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 39.4, "last_trade_time": "2026-06-22T09:54:48", "percent_change": 0.0, "prev_day_close": 51.4750003814697}, {"option": "DRAM280121C00100000", "bid": 11.0, "bid_size": 4.0, "ask": 11.85, "ask_size": 366.0, "iv": 0.8513, "open_interest": 44119.0, "volume": 180.0, "delta": 0.4724, "gamma": 0.0075, "vega": 0.2457, "theta": -0.018, "rho": 0.1861, "theo": 11.2923, "change": -0.45, "open": 10.15, "high": 11.51, "low": 9.99, "tick": "down", "last_trade_price": 11.0, "last_trade_time": "2026-08-03T15:25:41", "percent_change": -3.93013, "prev_day_close": 11.4499998092651}, {"option": "DRAM280121P00100000", "bid": 55.3, "bid_size": 104.0, "ask": 56.85, "ask_size": 499.0, "iv": 0.8525, "open_interest": 829.0, "volume": 0.0, "delta": -0.5738, "gamma": 0.0092, "vega": 0.2328, "theta": -0.0168, "rho": -0.6192, "theo": 55.9222, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 56.78, "last_trade_time": "2026-07-30T11:10:17", "percent_change": 0.0, "prev_day_close": 56.0499992370606}, {"option": "DRAM280121C00105000", "bid": 9.6, "bid_size": 992.0, "ask": 11.65, "ask_size": 1246.0, "iv": 0.8434, "open_interest": 914.0, "volume": 61.0, "delta": 0.4544, "gamma": 0.0075, "vega": 0.2447, "theta": -0.0181, "rho": 0.1811, "theo": 10.7185, "change": 0.2, "open": 9.65, "high": 10.9, "low": 9.6, "tick": "no_change", "last_trade_price": 10.9, "last_trade_time": "2026-08-03T14:38:20", "percent_change": 1.86916, "prev_day_close": 10.6999998092651}, {"option": "DRAM280121P00105000", "bid": 59.25, "bid_size": 343.0, "ask": 62.45, "ask_size": 466.0, "iv": 0.8732, "open_interest": 10.0, "volume": 0.0, "delta": -0.5962, "gamma": 0.0093, "vega": 0.2294, "theta": -0.0166, "rho": -0.6324, "theo": 60.2541, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 58.2, "last_trade_time": "2026-07-13T13:25:48", "percent_change": 0.0, "prev_day_close": 60.6749992370606}, {"option": "DRAM280121C00110000", "bid": 9.75, "bid_size": 109.0, "ask": 11.0, "ask_size": 1088.0, "iv": 0.8563, "open_interest": 734.0, "volume": 7.0, "delta": 0.4374, "gamma": 0.0074, "vega": 0.2433, "theta": -0.018, "rho": 0.1762, "theo": 10.1885, "change": -0.55, "open": 10.85, "high": 10.85, "low": 10.0, "tick": "no_change", "last_trade_price": 10.0, "last_trade_time": "2026-08-03T15:56:09", "percent_change": -5.21327, "prev_day_close": 10.5500001907349}, {"option": "DRAM280121P00110000", "bid": 62.8, "bid_size": 473.0, "ask": 65.85, "ask_size": 442.0, "iv": 0.8343, "open_interest": 2.0, "volume": 0.0, "delta": -0.6176, "gamma": 0.0094, "vega": 0.2239, "theta": -0.0163, "rho": -0.6323, "theo": 64.6417, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 61.0, "last_trade_time": "2026-07-07T09:31:06", "percent_change": 0.0, "prev_day_close": 64.9749984741211}, {"option": "DRAM280121C00115000", "bid": 8.65, "bid_size": 898.0, "ask": 10.8, "ask_size": 1382.0, "iv": 0.8511, "open_interest": 225.0, "volume": 6.0, "delta": 0.4213, "gamma": 0.0073, "vega": 0.2415, "theta": -0.018, "rho": 0.1711, "theo": 9.6986, "change": -0.7, "open": 8.71, "high": 9.17, "low": 8.71, "tick": "down", "last_trade_price": 9.15, "last_trade_time": "2026-08-03T12:03:04", "percent_change": -7.1066, "prev_day_close": 9.84999990463257}, {"option": "DRAM280121P00115000", "bid": 68.5, "bid_size": 91.0, "ask": 70.25, "ask_size": 373.0, "iv": 0.8634, "open_interest": 2.0, "volume": 0.0, "delta": -0.6381, "gamma": 0.0095, "vega": 0.2191, "theta": -0.016, "rho": -0.6443, "theo": 69.0813, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 66.8, "last_trade_time": "2026-07-13T13:24:54", "percent_change": 0.0, "prev_day_close": 69.3999977111816}, {"option": "DRAM280121C00122000", "bid": 8.05, "bid_size": 978.0, "ask": 9.5, "ask_size": 444.0, "iv": 0.8393, "open_interest": 13572.0, "volume": 100.0, "delta": 0.4003, "gamma": 0.0072, "vega": 0.2384, "theta": -0.0178, "rho": 0.1643, "theo": 9.073, "change": -0.35, "open": 8.01, "high": 9.1, "low": 8.0, "tick": "no_change", "last_trade_price": 9.1, "last_trade_time": "2026-08-03T15:56:21", "percent_change": -3.70371, "prev_day_close": 9.4500002861023}, {"option": "DRAM280121P00122000", "bid": 74.35, "bid_size": 450.0, "ask": 76.8, "ask_size": 758.0, "iv": 0.8616, "open_interest": 354.0, "volume": 15.0, "delta": -0.6655, "gamma": 0.0095, "vega": 0.2116, "theta": -0.0155, "rho": -0.6464, "theo": 75.3697, "change": -0.125, "open": 75.75, "high": 75.75, "low": 75.75, "tick": "no_change", "last_trade_price": 75.75, "last_trade_time": "2026-08-03T12:05:07", "percent_change": -0.164745, "prev_day_close": 75.875}, {"option": "DRAM281215C00025000", "bid": 34.35, "bid_size": 32.0, "ask": 36.55, "ask_size": 40.0, "iv": 0.8419, "open_interest": 38.0, "volume": 50.0, "delta": 0.9015, "gamma": 0.0026, "vega": 0.1374, "theta": -0.0025, "rho": 0.2641, "theo": 34.8891, "change": 0.275, "open": 32.5, "high": 35.4, "low": 32.25, "tick": "down", "last_trade_price": 35.05, "last_trade_time": "2026-08-03T15:59:22", "percent_change": 0.790799, "prev_day_close": 34.7749996185303}, {"option": "DRAM281215P00025000", "bid": 6.05, "bid_size": 161.0, "ask": 6.65, "ask_size": 165.0, "iv": 0.8378, "open_interest": 1.0, "volume": 6.0, "delta": -0.1033, "gamma": 0.0028, "vega": 0.1414, "theta": -0.0064, "rho": -0.2214, "theo": 6.372, "change": 0.325, "open": 6.59, "high": 6.7, "low": 6.35, "tick": "down", "last_trade_price": 6.35, "last_trade_time": "2026-08-03T14:14:41", "percent_change": 5.39419, "prev_day_close": 6.02500009536743}, {"option": "DRAM281215C00030000", "bid": 31.9, "bid_size": 261.0, "ask": 33.8, "ask_size": 314.0, "iv": 0.8427, "open_interest": 108.0, "volume": 2.0, "delta": 0.8748, "gamma": 0.0031, "vega": 0.1631, "theta": -0.004, "rho": 0.2825, "theo": 32.7292, "change": -1.1, "open": 31.95, "high": 31.95, "low": 31.95, "tick": "down", "last_trade_price": 31.95, "last_trade_time": "2026-08-03T10:28:27", "percent_change": -3.32829, "prev_day_close": 33.0500001907349}, {"option": "DRAM281215P00030000", "bid": 8.0, "bid_size": 250.0, "ask": 10.0, "ask_size": 580.0, "iv": 0.848, "open_interest": 42.0, "volume": 5.0, "delta": -0.1322, "gamma": 0.0034, "vega": 0.168, "theta": -0.0076, "rho": -0.2852, "theo": 8.7884, "change": -0.08, "open": 8.3, "high": 8.67, "low": 8.3, "tick": "up", "last_trade_price": 8.67, "last_trade_time": "2026-08-03T15:37:51", "percent_change": -0.914286, "prev_day_close": 8.75}, {"option": "DRAM281215C00031000", "bid": 30.5, "bid_size": 148.0, "ask": 33.45, "ask_size": 91.0, "iv": 0.8138, "open_interest": 0.0, "volume": 0.0, "delta": 0.8695, "gamma": 0.0032, "vega": 0.1678, "theta": -0.0042, "rho": 0.2856, "theo": 32.3268, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 32.4750003814697}, {"option": "DRAM281215P00031000", "bid": 8.3, "bid_size": 378.0, "ask": 10.75, "ask_size": 518.0, "iv": 0.8476, "open_interest": 10.0, "volume": 1.0, "delta": -0.138, "gamma": 0.0035, "vega": 0.1728, "theta": -0.0078, "rho": -0.2982, "theo": 9.3036, "change": 0.6, "open": 9.55, "high": 9.55, "low": 9.55, "tick": "up", "last_trade_price": 9.55, "last_trade_time": "2026-08-03T09:30:45", "percent_change": 6.70391, "prev_day_close": 8.9500002861023}, {"option": "DRAM281215C00032000", "bid": 30.0, "bid_size": 126.0, "ask": 34.0, "ask_size": 137.0, "iv": 0.838, "open_interest": 0.0, "volume": 0.0, "delta": 0.8642, "gamma": 0.0033, "vega": 0.1724, "theta": -0.0045, "rho": 0.2885, "theo": 31.9335, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 32.25}, {"option": "DRAM281215P00032000", "bid": 8.9, "bid_size": 396.0, "ask": 10.8, "ask_size": 750.0, "iv": 0.8354, "open_interest": 7.0, "volume": 1.0, "delta": -0.1438, "gamma": 0.0036, "vega": 0.1777, "theta": -0.008, "rho": -0.3109, "theo": 9.8285, "change": 0.6, "open": 10.15, "high": 10.15, "low": 10.15, "tick": "up", "last_trade_price": 10.15, "last_trade_time": "2026-08-03T10:05:06", "percent_change": 6.28272, "prev_day_close": 9.55000019073486}, {"option": "DRAM281215C00033000", "bid": 29.5, "bid_size": 154.0, "ask": 32.5, "ask_size": 76.0, "iv": 0.8027, "open_interest": 0.0, "volume": 0.0, "delta": 0.8589, "gamma": 0.0034, "vega": 0.1769, "theta": -0.0048, "rho": 0.2912, "theo": 31.5488, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 31.75}, {"option": "DRAM281215P00033000", "bid": 8.65, "bid_size": 481.0, "ask": 12.3, "ask_size": 738.0, "iv": 0.8398, "open_interest": 16.0, "volume": 0.0, "delta": -0.1496, "gamma": 0.0037, "vega": 0.1823, "theta": -0.0082, "rho": -0.324, "theo": 10.3632, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 9.85, "last_trade_time": "2026-07-31T09:30:12", "percent_change": 0.0, "prev_day_close": 10.1999998092651}, {"option": "DRAM281215C00034000", "bid": 29.0, "bid_size": 132.0, "ask": 33.05, "ask_size": 140.0, "iv": 0.825, "open_interest": 2.0, "volume": 0.0, "delta": 0.8536, "gamma": 0.0035, "vega": 0.1813, "theta": -0.005, "rho": 0.2937, "theo": 31.1725, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 32.0, "last_trade_time": "2026-07-30T14:14:02", "percent_change": 0.0, "prev_day_close": 31.25}, {"option": "DRAM281215P00034000", "bid": 9.25, "bid_size": 443.0, "ask": 11.2, "ask_size": 33.0, "iv": 0.797, "open_interest": 0.0, "volume": 0.0, "delta": -0.1554, "gamma": 0.0038, "vega": 0.1868, "theta": -0.0084, "rho": -0.3365, "theo": 10.907, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 11.1999998092651}, {"option": "DRAM281215C00035000", "bid": 28.5, "bid_size": 60.0, "ask": 32.35, "ask_size": 201.0, "iv": 0.8123, "open_interest": 20.0, "volume": 0.0, "delta": 0.8484, "gamma": 0.0036, "vega": 0.1856, "theta": -0.0053, "rho": 0.296, "theo": 30.8044, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 32.5, "last_trade_time": "2026-07-31T09:45:03", "percent_change": 0.0, "prev_day_close": 31.0749998092651}, {"option": "DRAM281215P00035000", "bid": 11.0, "bid_size": 1.0, "ask": 12.85, "ask_size": 969.0, "iv": 0.8572, "open_interest": 72.0, "volume": 4.0, "delta": -0.1612, "gamma": 0.0039, "vega": 0.1912, "theta": -0.0085, "rho": -0.3504, "theo": 11.4602, "change": -0.265, "open": 11.57, "high": 11.57, "low": 11.31, "tick": "down", "last_trade_price": 11.31, "last_trade_time": "2026-08-03T15:11:04", "percent_change": -2.28942, "prev_day_close": 11.5749998092651}, {"option": "DRAM281215C00036000", "bid": 28.5, "bid_size": 114.0, "ask": 31.5, "ask_size": 83.0, "iv": 0.8089, "open_interest": 0.0, "volume": 7.0, "delta": 0.8432, "gamma": 0.0036, "vega": 0.1898, "theta": -0.0055, "rho": 0.298, "theo": 30.4444, "change": -2.05, "open": 28.75, "high": 28.75, "low": 28.2, "tick": "up", "last_trade_price": 28.7, "last_trade_time": "2026-08-03T09:50:45", "percent_change": -6.66667, "prev_day_close": 30.75}, {"option": "DRAM281215P00036000", "bid": 10.45, "bid_size": 306.0, "ask": 13.9, "ask_size": 487.0, "iv": 0.8402, "open_interest": 1.0, "volume": 0.0, "delta": -0.1669, "gamma": 0.004, "vega": 0.1956, "theta": -0.0087, "rho": -0.3622, "theo": 12.0218, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 12.8, "last_trade_time": "2026-07-28T10:52:02", "percent_change": 0.0, "prev_day_close": 11.6999998092651}, {"option": "DRAM281215C00037000", "bid": 28.0, "bid_size": 162.0, "ask": 32.5, "ask_size": 15.0, "iv": 0.84, "open_interest": 0.0, "volume": 0.0, "delta": 0.838, "gamma": 0.0037, "vega": 0.1939, "theta": -0.0058, "rho": 0.2999, "theo": 30.0921, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 30.0}, {"option": "DRAM281215P00037000", "bid": 10.9, "bid_size": 511.0, "ask": 14.45, "ask_size": 748.0, "iv": 0.8361, "open_interest": 0.0, "volume": 0.0, "delta": -0.1727, "gamma": 0.0041, "vega": 0.1998, "theta": -0.0089, "rho": -0.375, "theo": 12.5924, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 12.25}, {"option": "DRAM281215C00038000", "bid": 27.0, "bid_size": 2.0, "ask": 32.0, "ask_size": 2.0, "iv": 0.8127, "open_interest": 0.0, "volume": 0.0, "delta": 0.8328, "gamma": 0.0038, "vega": 0.1979, "theta": -0.006, "rho": 0.3017, "theo": 29.7474, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.38, "last_trade_time": "2026-07-28T14:28:58", "percent_change": 0.0, "prev_day_close": 30.25}, {"option": "DRAM281215P00038000", "bid": 12.0, "bid_size": 50.0, "ask": 15.05, "ask_size": 8.0, "iv": 0.8367, "open_interest": 106.0, "volume": 0.0, "delta": -0.1784, "gamma": 0.0042, "vega": 0.2038, "theta": -0.0091, "rho": -0.3873, "theo": 13.1713, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 14.25, "last_trade_time": "2026-07-28T10:08:28", "percent_change": 0.0, "prev_day_close": 13.0499997138977}, {"option": "DRAM281215C00039000", "bid": 27.5, "bid_size": 157.0, "ask": 30.85, "ask_size": 130.0, "iv": 0.8195, "open_interest": 1.0, "volume": 0.0, "delta": 0.8277, "gamma": 0.0039, "vega": 0.2018, "theta": -0.0062, "rho": 0.3035, "theo": 29.41, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 27.29, "last_trade_time": "2026-07-29T14:59:38", "percent_change": 0.0, "prev_day_close": 29.75}, {"option": "DRAM281215P00039000", "bid": 12.15, "bid_size": 493.0, "ask": 15.1, "ask_size": 879.0, "iv": 0.825, "open_interest": 28.0, "volume": 0.0, "delta": -0.1841, "gamma": 0.0043, "vega": 0.2076, "theta": -0.0092, "rho": -0.4001, "theo": 13.7579, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 13.4, "last_trade_time": "2026-07-31T13:03:59", "percent_change": 0.0, "prev_day_close": 13.9499998092651}, {"option": "DRAM281215C00040000", "bid": 28.05, "bid_size": 239.0, "ask": 30.1, "ask_size": 250.0, "iv": 0.8306, "open_interest": 42.0, "volume": 14.0, "delta": 0.8226, "gamma": 0.004, "vega": 0.2055, "theta": -0.0064, "rho": 0.3051, "theo": 29.0795, "change": -0.1, "open": 27.52, "high": 29.2, "low": 26.9, "tick": "down", "last_trade_price": 29.0, "last_trade_time": "2026-08-03T15:13:11", "percent_change": -0.343644, "prev_day_close": 29.1000003814697}, {"option": "DRAM281215P00040000", "bid": 12.0, "bid_size": 591.0, "ask": 16.1, "ask_size": 752.0, "iv": 0.8168, "open_interest": 2.0, "volume": 5001.0, "delta": -0.1898, "gamma": 0.0044, "vega": 0.2115, "theta": -0.0094, "rho": -0.4129, "theo": 14.352, "change": 0.425, "open": 14.99, "high": 14.99, "low": 14.6, "tick": "down", "last_trade_price": 14.6, "last_trade_time": "2026-08-03T11:09:00", "percent_change": 2.99823, "prev_day_close": 14.1750001907349}, {"option": "DRAM281215C00041000", "bid": 26.5, "bid_size": 196.0, "ask": 30.0, "ask_size": 176.0, "iv": 0.8065, "open_interest": 2.0, "volume": 0.0, "delta": 0.8175, "gamma": 0.004, "vega": 0.2091, "theta": -0.0066, "rho": 0.3067, "theo": 28.7556, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 26.55, "last_trade_time": "2026-07-29T10:31:58", "percent_change": 0.0, "prev_day_close": 29.25}, {"option": "DRAM281215P00041000", "bid": 13.0, "bid_size": 421.0, "ask": 16.8, "ask_size": 497.0, "iv": 0.8283, "open_interest": 0.0, "volume": 0.0, "delta": -0.1955, "gamma": 0.0045, "vega": 0.2152, "theta": -0.0095, "rho": -0.4244, "theo": 14.9539, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 14.7750005722046}, {"option": "DRAM281215C00042000", "bid": 26.0, "bid_size": 2.0, "ask": 31.0, "ask_size": 12.0, "iv": 0.8332, "open_interest": 0.0, "volume": 0.0, "delta": 0.8125, "gamma": 0.0041, "vega": 0.2126, "theta": -0.0069, "rho": 0.3081, "theo": 28.4383, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 28.75}, {"option": "DRAM281215P00042000", "bid": 13.0, "bid_size": 272.0, "ask": 18.0, "ask_size": 290.0, "iv": 0.8276, "open_interest": 2.0, "volume": 0.0, "delta": -0.2011, "gamma": 0.0046, "vega": 0.2188, "theta": -0.0097, "rho": -0.4367, "theo": 15.5633, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 16.67, "last_trade_time": "2026-07-28T11:10:39", "percent_change": 0.0, "prev_day_close": 15.5}, {"option": "DRAM281215C00043000", "bid": 26.0, "bid_size": 156.0, "ask": 30.5, "ask_size": 17.0, "iv": 0.8357, "open_interest": 7.0, "volume": 0.0, "delta": 0.8075, "gamma": 0.0042, "vega": 0.2161, "theta": -0.0071, "rho": 0.3094, "theo": 28.1274, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 28.22, "last_trade_time": "2026-07-31T15:05:50", "percent_change": 0.0, "prev_day_close": 28.5}, {"option": "DRAM281215P00043000", "bid": 13.5, "bid_size": 2.0, "ask": 18.5, "ask_size": 2.0, "iv": 0.8222, "open_interest": 1.0, "volume": 0.0, "delta": -0.2067, "gamma": 0.0047, "vega": 0.2223, "theta": -0.0098, "rho": -0.4489, "theo": 16.1795, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 17.6, "last_trade_time": "2026-07-29T10:40:33", "percent_change": 0.0, "prev_day_close": 16.25}, {"option": "DRAM281215C00044000", "bid": 25.5, "bid_size": 654.0, "ask": 29.95, "ask_size": 650.0, "iv": 0.8254, "open_interest": 279.0, "volume": 0.0, "delta": 0.8026, "gamma": 0.0042, "vega": 0.2194, "theta": -0.0072, "rho": 0.3105, "theo": 27.8226, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 28.27, "last_trade_time": "2026-07-31T12:30:49", "percent_change": 0.0, "prev_day_close": 28.3499994277954}, {"option": "DRAM281215P00044000", "bid": 14.5, "bid_size": 613.0, "ask": 19.0, "ask_size": 279.0, "iv": 0.8276, "open_interest": 0.0, "volume": 0.0, "delta": -0.2126, "gamma": 0.0048, "vega": 0.2257, "theta": -0.01, "rho": -0.4627, "theo": 16.7999, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 16.3249998092651}, {"option": "DRAM281215C00045000", "bid": 26.9, "bid_size": 106.0, "ask": 28.35, "ask_size": 276.0, "iv": 0.8341, "open_interest": 41.0, "volume": 101.0, "delta": 0.7976, "gamma": 0.0043, "vega": 0.2227, "theta": -0.0074, "rho": 0.3115, "theo": 27.5239, "change": -0.3, "open": 26.0, "high": 27.7, "low": 26.0, "tick": "up", "last_trade_price": 27.7, "last_trade_time": "2026-08-03T14:28:25", "percent_change": -1.07143, "prev_day_close": 28.0}, {"option": "DRAM281215P00045000", "bid": 15.6, "bid_size": 414.0, "ask": 19.25, "ask_size": 673.0, "iv": 0.8294, "open_interest": 120.0, "volume": 4.0, "delta": -0.2181, "gamma": 0.0049, "vega": 0.2289, "theta": -0.0101, "rho": -0.4732, "theo": 17.4297, "change": 0.85, "open": 18.0, "high": 18.0, "low": 18.0, "tick": "up", "last_trade_price": 18.0, "last_trade_time": "2026-08-03T09:30:04", "percent_change": 4.95627, "prev_day_close": 17.1499996185303}, {"option": "DRAM281215C00046000", "bid": 25.0, "bid_size": 302.0, "ask": 29.5, "ask_size": 96.0, "iv": 0.8302, "open_interest": 23.0, "volume": 0.0, "delta": 0.7928, "gamma": 0.0044, "vega": 0.2259, "theta": -0.0076, "rho": 0.3123, "theo": 27.2312, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 27.6, "last_trade_time": "2026-07-31T11:18:35", "percent_change": 0.0, "prev_day_close": 27.5}, {"option": "DRAM281215P00046000", "bid": 15.5, "bid_size": 235.0, "ask": 20.1, "ask_size": 646.0, "iv": 0.818, "open_interest": 2.0, "volume": 0.0, "delta": -0.2237, "gamma": 0.005, "vega": 0.2321, "theta": -0.0102, "rho": -0.4849, "theo": 18.0665, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 19.34, "last_trade_time": "2026-07-28T14:45:05", "percent_change": 0.0, "prev_day_close": 18.25}, {"option": "DRAM281215C00047000", "bid": 25.45, "bid_size": 216.0, "ask": 28.85, "ask_size": 220.0, "iv": 0.8382, "open_interest": 12.0, "volume": 3.0, "delta": 0.7879, "gamma": 0.0044, "vega": 0.2289, "theta": -0.0078, "rho": 0.3131, "theo": 26.9442, "change": -0.5, "open": 26.75, "high": 26.75, "low": 26.75, "tick": "down", "last_trade_price": 26.75, "last_trade_time": "2026-08-03T13:08:56", "percent_change": -1.83486, "prev_day_close": 27.25}, {"option": "DRAM281215P00047000", "bid": 16.0, "bid_size": 2.0, "ask": 21.0, "ask_size": 2.0, "iv": 0.8207, "open_interest": 1608.0, "volume": 0.0, "delta": -0.229, "gamma": 0.005, "vega": 0.2353, "theta": -0.0103, "rho": -0.4968, "theo": 18.7015, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.2, "last_trade_time": "2026-07-29T09:52:18", "percent_change": 0.0, "prev_day_close": 18.6999998092651}, {"option": "DRAM281215C00048000", "bid": 25.2, "bid_size": 273.0, "ask": 27.55, "ask_size": 271.0, "iv": 0.8167, "open_interest": 29.0, "volume": 5.0, "delta": 0.7831, "gamma": 0.0045, "vega": 0.2319, "theta": -0.008, "rho": 0.3139, "theo": 26.6627, "change": -1.9, "open": 25.1, "high": 25.1, "low": 25.1, "tick": "down", "last_trade_price": 25.1, "last_trade_time": "2026-08-03T10:03:46", "percent_change": -7.03704, "prev_day_close": 27.0}, {"option": "DRAM281215P00048000", "bid": 17.55, "bid_size": 479.0, "ask": 20.65, "ask_size": 784.0, "iv": 0.8186, "open_interest": 13.0, "volume": 0.0, "delta": -0.2345, "gamma": 0.0051, "vega": 0.2382, "theta": -0.0105, "rho": -0.508, "theo": 19.3509, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 19.3, "last_trade_time": "2026-07-31T14:11:18", "percent_change": 0.0, "prev_day_close": 19.3249998092651}, {"option": "DRAM281215C00049000", "bid": 25.0, "bid_size": 479.0, "ask": 28.5, "ask_size": 15.0, "iv": 0.8444, "open_interest": 74.0, "volume": 128.0, "delta": 0.7784, "gamma": 0.0045, "vega": 0.2348, "theta": -0.0082, "rho": 0.3146, "theo": 26.3866, "change": -0.8, "open": 24.14, "high": 25.95, "low": 24.13, "tick": "no_change", "last_trade_price": 25.95, "last_trade_time": "2026-08-03T12:19:22", "percent_change": -2.99065, "prev_day_close": 26.75}, {"option": "DRAM281215P00049000", "bid": 17.55, "bid_size": 522.0, "ask": 21.35, "ask_size": 646.0, "iv": 0.806, "open_interest": 2.0, "volume": 0.0, "delta": -0.24, "gamma": 0.0052, "vega": 0.2411, "theta": -0.0106, "rho": -0.5204, "theo": 20.0061, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 20.53, "last_trade_time": "2026-07-30T10:14:27", "percent_change": 0.0, "prev_day_close": 20.25}, {"option": "DRAM281215C00050000", "bid": 25.5, "bid_size": 121.0, "ask": 26.9, "ask_size": 305.0, "iv": 0.8323, "open_interest": 272.0, "volume": 32.0, "delta": 0.7736, "gamma": 0.0046, "vega": 0.2376, "theta": -0.0083, "rho": 0.3153, "theo": 26.1157, "change": -0.1, "open": 24.5, "high": 26.69, "low": 23.87, "tick": "down", "last_trade_price": 25.9, "last_trade_time": "2026-08-03T13:33:02", "percent_change": -0.384615, "prev_day_close": 26.0}, {"option": "DRAM281215P00050000", "bid": 18.0, "bid_size": 2.0, "ask": 23.0, "ask_size": 2.0, "iv": 0.822, "open_interest": 202.0, "volume": 38.0, "delta": -0.2454, "gamma": 0.0053, "vega": 0.2439, "theta": -0.0107, "rho": -0.5326, "theo": 20.6671, "change": -0.575, "open": 21.0, "high": 21.0, "low": 20.05, "tick": "down", "last_trade_price": 20.05, "last_trade_time": "2026-08-03T15:36:24", "percent_change": -2.78788, "prev_day_close": 20.625}, {"option": "DRAM281215C00051000", "bid": 24.6, "bid_size": 181.0, "ask": 27.5, "ask_size": 240.0, "iv": 0.837, "open_interest": 29.0, "volume": 12.0, "delta": 0.7689, "gamma": 0.0046, "vega": 0.2404, "theta": -0.0085, "rho": 0.3159, "theo": 25.8498, "change": 0.225, "open": 25.5, "high": 26.0, "low": 24.7, "tick": "up", "last_trade_price": 26.0, "last_trade_time": "2026-08-03T15:57:23", "percent_change": 0.87294, "prev_day_close": 25.7749996185303}, {"option": "DRAM281215P00051000", "bid": 19.6, "bid_size": 303.0, "ask": 21.85, "ask_size": 236.0, "iv": 0.8038, "open_interest": 4.0, "volume": 1.0, "delta": -0.251, "gamma": 0.0054, "vega": 0.2464, "theta": -0.0108, "rho": -0.5422, "theo": 21.3431, "change": -0.33, "open": 21.17, "high": 21.17, "low": 21.17, "tick": "down", "last_trade_price": 21.17, "last_trade_time": "2026-08-03T12:59:13", "percent_change": -1.53488, "prev_day_close": 21.5}, {"option": "DRAM281215C00052000", "bid": 25.0, "bid_size": 99.0, "ask": 26.85, "ask_size": 363.0, "iv": 0.8424, "open_interest": 233.0, "volume": 30.0, "delta": 0.7643, "gamma": 0.0047, "vega": 0.243, "theta": -0.0086, "rho": 0.3165, "theo": 25.5887, "change": -0.45, "open": 24.75, "high": 26.45, "low": 23.5, "tick": "down", "last_trade_price": 25.6, "last_trade_time": "2026-08-03T15:38:55", "percent_change": -1.72745, "prev_day_close": 26.0500001907349}, {"option": "DRAM281215P00052000", "bid": 19.5, "bid_size": 240.0, "ask": 24.5, "ask_size": 281.0, "iv": 0.8279, "open_interest": 2.0, "volume": 0.0, "delta": -0.2564, "gamma": 0.0054, "vega": 0.249, "theta": -0.0109, "rho": -0.5539, "theo": 22.0159, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.45, "last_trade_time": "2026-07-31T11:53:13", "percent_change": 0.0, "prev_day_close": 22.3999996185303}, {"option": "DRAM281215C00053000", "bid": 25.0, "bid_size": 2.0, "ask": 26.0, "ask_size": 5.0, "iv": 0.8353, "open_interest": 5.0, "volume": 5.0, "delta": 0.7597, "gamma": 0.0047, "vega": 0.2456, "theta": -0.0088, "rho": 0.317, "theo": 25.3324, "change": -0.6, "open": 23.5, "high": 25.15, "low": 23.5, "tick": "up", "last_trade_price": 25.15, "last_trade_time": "2026-08-03T15:18:13", "percent_change": -2.3301, "prev_day_close": 25.75}, {"option": "DRAM281215P00053000", "bid": 21.0, "bid_size": 297.0, "ask": 24.7, "ask_size": 469.0, "iv": 0.8346, "open_interest": 0.0, "volume": 0.0, "delta": -0.2617, "gamma": 0.0055, "vega": 0.2515, "theta": -0.011, "rho": -0.5645, "theo": 22.6943, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.8000001907349}, {"option": "DRAM281215C00054000", "bid": 23.4, "bid_size": 239.0, "ask": 25.85, "ask_size": 170.0, "iv": 0.8101, "open_interest": 9.0, "volume": 0.0, "delta": 0.7551, "gamma": 0.0048, "vega": 0.2481, "theta": -0.009, "rho": 0.3174, "theo": 25.0806, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 25.5, "last_trade_time": "2026-07-31T14:28:12", "percent_change": 0.0, "prev_day_close": 25.1999998092651}, {"option": "DRAM281215P00054000", "bid": 22.5, "bid_size": 162.0, "ask": 23.9, "ask_size": 180.0, "iv": 0.8214, "open_interest": 13.0, "volume": 0.0, "delta": -0.267, "gamma": 0.0056, "vega": 0.2539, "theta": -0.0111, "rho": -0.5753, "theo": 23.3778, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.33, "last_trade_time": "2026-07-24T13:42:30", "percent_change": 0.0, "prev_day_close": 23.5}, {"option": "DRAM281215C00055000", "bid": 24.2, "bid_size": 62.0, "ask": 26.15, "ask_size": 269.0, "iv": 0.842, "open_interest": 28.0, "volume": 33.0, "delta": 0.7506, "gamma": 0.0048, "vega": 0.2505, "theta": -0.0091, "rho": 0.3177, "theo": 24.8335, "change": 0.05, "open": 24.5, "high": 25.0, "low": 23.77, "tick": "up", "last_trade_price": 25.0, "last_trade_time": "2026-08-03T14:28:58", "percent_change": 0.200402, "prev_day_close": 24.9499998092651}, {"option": "DRAM281215P00055000", "bid": 23.3, "bid_size": 254.0, "ask": 24.7, "ask_size": 309.0, "iv": 0.8257, "open_interest": 0.0, "volume": 3.0, "delta": -0.2723, "gamma": 0.0056, "vega": 0.2563, "theta": -0.0112, "rho": -0.5886, "theo": 24.067, "change": -0.15, "open": 24.0, "high": 24.0, "low": 24.0, "tick": "down", "last_trade_price": 24.0, "last_trade_time": "2026-08-03T10:21:34", "percent_change": -0.621116, "prev_day_close": 24.1499996185303}, {"option": "DRAM281215C00056000", "bid": 24.2, "bid_size": 3.0, "ask": 26.1, "ask_size": 358.0, "iv": 0.8504, "open_interest": 40.0, "volume": 17.0, "delta": 0.7461, "gamma": 0.0049, "vega": 0.2529, "theta": -0.0092, "rho": 0.3179, "theo": 24.5907, "change": -0.725, "open": 22.95, "high": 23.9, "low": 22.95, "tick": "no_change", "last_trade_price": 23.85, "last_trade_time": "2026-08-03T11:31:10", "percent_change": -2.95015, "prev_day_close": 24.5749998092651}, {"option": "DRAM281215P00056000", "bid": 23.0, "bid_size": 387.0, "ask": 27.0, "ask_size": 2.0, "iv": 0.8375, "open_interest": 3.0, "volume": 0.0, "delta": -0.2776, "gamma": 0.0057, "vega": 0.2585, "theta": -0.0113, "rho": -0.598, "theo": 24.7608, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.3, "last_trade_time": "2026-07-24T11:15:41", "percent_change": 0.0, "prev_day_close": 24.5}, {"option": "DRAM281215C00057000", "bid": 22.45, "bid_size": 293.0, "ask": 25.45, "ask_size": 318.0, "iv": 0.8125, "open_interest": 8.0, "volume": 0.0, "delta": 0.7416, "gamma": 0.0049, "vega": 0.2552, "theta": -0.0094, "rho": 0.318, "theo": 24.3524, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 22.25, "last_trade_time": "2026-07-29T15:19:03", "percent_change": 0.0, "prev_day_close": 24.75}, {"option": "DRAM281215P00057000", "bid": 24.0, "bid_size": 258.0, "ask": 26.75, "ask_size": 338.0, "iv": 0.8249, "open_interest": 0.0, "volume": 0.0, "delta": -0.2828, "gamma": 0.0058, "vega": 0.2607, "theta": -0.0114, "rho": -0.6079, "theo": 25.4597, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 25.5}, {"option": "DRAM281215C00058000", "bid": 21.5, "bid_size": 173.0, "ask": 26.5, "ask_size": 173.0, "iv": 0.8235, "open_interest": 2.0, "volume": 0.0, "delta": 0.7372, "gamma": 0.005, "vega": 0.2574, "theta": -0.0095, "rho": 0.3181, "theo": 24.1182, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 23.08, "last_trade_time": "2026-07-28T09:30:05", "percent_change": 0.0, "prev_day_close": 24.5}, {"option": "DRAM281215P00058000", "bid": 23.5, "bid_size": 94.0, "ask": 28.5, "ask_size": 79.0, "iv": 0.8219, "open_interest": 0.0, "volume": 0.0, "delta": -0.288, "gamma": 0.0059, "vega": 0.2627, "theta": -0.0114, "rho": -0.6184, "theo": 26.164, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 26.25}, {"option": "DRAM281215C00059000", "bid": 23.05, "bid_size": 208.0, "ask": 24.7, "ask_size": 321.0, "iv": 0.8276, "open_interest": 3.0, "volume": 0.0, "delta": 0.7328, "gamma": 0.005, "vega": 0.2595, "theta": -0.0096, "rho": 0.3181, "theo": 23.8882, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.95, "last_trade_time": "2026-07-31T09:53:22", "percent_change": 0.0, "prev_day_close": 24.2750005722046}, {"option": "DRAM281215P00059000", "bid": 24.55, "bid_size": 277.0, "ask": 29.0, "ask_size": 2.0, "iv": 0.8244, "open_interest": 0.0, "volume": 0.0, "delta": -0.2931, "gamma": 0.0059, "vega": 0.2647, "theta": -0.0115, "rho": -0.6288, "theo": 26.873, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 26.5249996185303}, {"option": "DRAM281215C00060000", "bid": 23.0, "bid_size": 68.0, "ask": 24.65, "ask_size": 315.0, "iv": 0.8342, "open_interest": 120.0, "volume": 11.0, "delta": 0.7285, "gamma": 0.005, "vega": 0.2616, "theta": -0.0098, "rho": 0.3181, "theo": 23.6622, "change": 0.2, "open": 22.48, "high": 23.95, "low": 22.48, "tick": "up", "last_trade_price": 23.95, "last_trade_time": "2026-08-03T13:43:41", "percent_change": 0.842105, "prev_day_close": 23.75}, {"option": "DRAM281215P00060000", "bid": 25.0, "bid_size": 90.0, "ask": 29.95, "ask_size": 338.0, "iv": 0.8238, "open_interest": 3.0, "volume": 0.0, "delta": -0.2982, "gamma": 0.006, "vega": 0.2666, "theta": -0.0116, "rho": -0.638, "theo": 27.5867, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 28.0, "last_trade_time": "2026-07-30T09:46:17", "percent_change": 0.0, "prev_day_close": 27.9750003814697}, {"option": "DRAM281215C00061000", "bid": 22.05, "bid_size": 215.0, "ask": 24.85, "ask_size": 307.0, "iv": 0.8284, "open_interest": 0.0, "volume": 0.0, "delta": 0.7242, "gamma": 0.0051, "vega": 0.2636, "theta": -0.0099, "rho": 0.3181, "theo": 23.4401, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 24.0249996185303}, {"option": "DRAM281215P00061000", "bid": 26.05, "bid_size": 197.0, "ask": 30.5, "ask_size": 2.0, "iv": 0.8269, "open_interest": 0.0, "volume": 0.0, "delta": -0.3034, "gamma": 0.0061, "vega": 0.2685, "theta": -0.0117, "rho": -0.6486, "theo": 28.3049, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 28.8249998092651}, {"option": "DRAM281215C00062000", "bid": 21.0, "bid_size": 157.0, "ask": 25.45, "ask_size": 173.0, "iv": 0.8281, "open_interest": 0.0, "volume": 0.0, "delta": 0.72, "gamma": 0.0051, "vega": 0.2656, "theta": -0.01, "rho": 0.3181, "theo": 23.2217, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 23.5}, {"option": "DRAM281215P00062000", "bid": 26.5, "bid_size": 26.0, "ask": 31.5, "ask_size": 31.0, "iv": 0.827, "open_interest": 0.0, "volume": 0.0, "delta": -0.3084, "gamma": 0.0061, "vega": 0.2703, "theta": -0.0117, "rho": -0.6601, "theo": 29.0271, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 29.25}, {"option": "DRAM281215C00063000", "bid": 20.5, "bid_size": 2.0, "ask": 25.5, "ask_size": 12.0, "iv": 0.8277, "open_interest": 10.0, "volume": 0.0, "delta": 0.7158, "gamma": 0.0052, "vega": 0.2675, "theta": -0.0101, "rho": 0.3181, "theo": 23.007, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 20.25, "last_trade_time": "2026-07-29T14:35:43", "percent_change": 0.0, "prev_day_close": 23.5}, {"option": "DRAM281215P00063000", "bid": 27.0, "bid_size": 2.0, "ask": 32.0, "ask_size": 2.0, "iv": 0.8278, "open_interest": 0.0, "volume": 0.0, "delta": -0.3135, "gamma": 0.0062, "vega": 0.2721, "theta": -0.0118, "rho": -0.67, "theo": 29.7535, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 30.0}, {"option": "DRAM281215C00064000", "bid": 20.0, "bid_size": 2.0, "ask": 25.0, "ask_size": 2.0, "iv": 0.8262, "open_interest": 13.0, "volume": 0.0, "delta": 0.7116, "gamma": 0.0052, "vega": 0.2693, "theta": -0.0102, "rho": 0.3181, "theo": 22.7958, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 21.9, "last_trade_time": "2026-07-28T14:01:09", "percent_change": 0.0, "prev_day_close": 23.0}, {"option": "DRAM281215P00064000", "bid": 28.0, "bid_size": 86.0, "ask": 33.0, "ask_size": 97.0, "iv": 0.8285, "open_interest": 0.0, "volume": 0.0, "delta": -0.3185, "gamma": 0.0062, "vega": 0.2735, "theta": -0.0119, "rho": -0.6774, "theo": 30.4845, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 30.75}, {"option": "DRAM281215C00065000", "bid": 20.0, "bid_size": 163.0, "ask": 25.0, "ask_size": 163.0, "iv": 0.8247, "open_interest": 40.0, "volume": 0.0, "delta": 0.7074, "gamma": 0.0052, "vega": 0.2711, "theta": -0.0104, "rho": 0.318, "theo": 22.5881, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.01, "last_trade_time": "2026-07-30T12:46:02", "percent_change": 0.0, "prev_day_close": 22.625}, {"option": "DRAM281215P00065000", "bid": 28.5, "bid_size": 71.0, "ask": 33.5, "ask_size": 88.0, "iv": 0.82, "open_interest": 22.0, "volume": 0.0, "delta": -0.3234, "gamma": 0.0063, "vega": 0.2752, "theta": -0.0119, "rho": -0.688, "theo": 31.2196, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 32.7, "last_trade_time": "2026-07-29T09:59:02", "percent_change": 0.0, "prev_day_close": 31.8249998092651}, {"option": "DRAM281215C00066000", "bid": 20.0, "bid_size": 2.0, "ask": 24.0, "ask_size": 418.0, "iv": 0.8139, "open_interest": 1.0, "volume": 0.0, "delta": 0.7033, "gamma": 0.0053, "vega": 0.2728, "theta": -0.0105, "rho": 0.3179, "theo": 22.3838, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 24.5, "last_trade_time": "2026-07-31T09:45:23", "percent_change": 0.0, "prev_day_close": 22.375}, {"option": "DRAM281215P00066000", "bid": 29.5, "bid_size": 2.0, "ask": 34.5, "ask_size": 2.0, "iv": 0.8298, "open_interest": 0.0, "volume": 0.0, "delta": -0.3281, "gamma": 0.0064, "vega": 0.2768, "theta": -0.012, "rho": -0.6958, "theo": 31.9469, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 32.1000003814697}, {"option": "DRAM281215C00067000", "bid": 19.5, "bid_size": 164.0, "ask": 24.5, "ask_size": 164.0, "iv": 0.8213, "open_interest": 2.0, "volume": 0.0, "delta": 0.6993, "gamma": 0.0053, "vega": 0.2745, "theta": -0.0106, "rho": 0.3177, "theo": 22.1827, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 23.05, "last_trade_time": "2026-07-30T15:02:50", "percent_change": 0.0, "prev_day_close": 22.5}, {"option": "DRAM281215P00067000", "bid": 30.5, "bid_size": 154.0, "ask": 35.0, "ask_size": 68.0, "iv": 0.8296, "open_interest": 0.0, "volume": 0.0, "delta": -0.3333, "gamma": 0.0064, "vega": 0.2781, "theta": -0.012, "rho": -0.7049, "theo": 32.7024, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 32.75}, {"option": "DRAM281215C00068000", "bid": 19.5, "bid_size": 2.0, "ask": 24.5, "ask_size": 12.0, "iv": 0.8285, "open_interest": 0.0, "volume": 0.0, "delta": 0.6952, "gamma": 0.0053, "vega": 0.2762, "theta": -0.0107, "rho": 0.3175, "theo": 21.9849, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.25}, {"option": "DRAM281215P00068000", "bid": 31.0, "bid_size": 60.0, "ask": 36.0, "ask_size": 75.0, "iv": 0.8297, "open_interest": 0.0, "volume": 0.0, "delta": -0.3382, "gamma": 0.0065, "vega": 0.2794, "theta": -0.0121, "rho": -0.7136, "theo": 33.4494, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 33.75}, {"option": "DRAM281215C00069000", "bid": 19.5, "bid_size": 154.0, "ask": 23.35, "ask_size": 120.0, "iv": 0.8149, "open_interest": 0.0, "volume": 0.0, "delta": 0.6912, "gamma": 0.0054, "vega": 0.2777, "theta": -0.0108, "rho": 0.3172, "theo": 21.7902, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.25}, {"option": "DRAM281215P00069000", "bid": 31.5, "bid_size": 34.0, "ask": 36.5, "ask_size": 36.0, "iv": 0.8208, "open_interest": 0.0, "volume": 0.0, "delta": -0.3431, "gamma": 0.0065, "vega": 0.2807, "theta": -0.0122, "rho": -0.7259, "theo": 34.2008, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 34.25}, {"option": "DRAM281215C00070000", "bid": 20.7, "bid_size": 124.0, "ask": 22.5, "ask_size": 303.0, "iv": 0.828, "open_interest": 77.0, "volume": 0.0, "delta": 0.6873, "gamma": 0.0054, "vega": 0.2792, "theta": -0.0109, "rho": 0.3168, "theo": 21.5987, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 22.0, "last_trade_time": "2026-07-31T15:03:39", "percent_change": 0.0, "prev_day_close": 22.3249998092651}, {"option": "DRAM281215P00070000", "bid": 32.5, "bid_size": 2.0, "ask": 37.0, "ask_size": 277.0, "iv": 0.8207, "open_interest": 7.0, "volume": 0.0, "delta": -0.3479, "gamma": 0.0066, "vega": 0.2822, "theta": -0.0122, "rho": -0.7346, "theo": 34.9552, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 35.43, "last_trade_time": "2026-07-31T13:03:00", "percent_change": 0.0, "prev_day_close": 35.2000007629394}, {"option": "DRAM281215C00071000", "bid": 19.5, "bid_size": 261.0, "ask": 22.5, "ask_size": 280.0, "iv": 0.8134, "open_interest": 0.0, "volume": 0.0, "delta": 0.6834, "gamma": 0.0054, "vega": 0.2807, "theta": -0.011, "rho": 0.3164, "theo": 21.4102, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 22.0}, {"option": "DRAM281215P00071000", "bid": 33.5, "bid_size": 139.0, "ask": 38.0, "ask_size": 72.0, "iv": 0.8293, "open_interest": 0.0, "volume": 0.0, "delta": -0.3527, "gamma": 0.0067, "vega": 0.2832, "theta": -0.0122, "rho": -0.7419, "theo": 35.7134, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 35.75}, {"option": "DRAM281215C00072000", "bid": 19.0, "bid_size": 271.0, "ask": 23.0, "ask_size": 329.0, "iv": 0.8201, "open_interest": 6.0, "volume": 1.0, "delta": 0.6795, "gamma": 0.0054, "vega": 0.2821, "theta": -0.0111, "rho": 0.316, "theo": 21.2247, "change": -1.445, "open": 19.98, "high": 19.98, "low": 19.98, "tick": "down", "last_trade_price": 19.98, "last_trade_time": "2026-08-03T09:30:04", "percent_change": -6.74446, "prev_day_close": 21.4250001907349}, {"option": "DRAM281215P00072000", "bid": 34.0, "bid_size": 45.0, "ask": 38.45, "ask_size": 298.0, "iv": 0.8197, "open_interest": 0.0, "volume": 0.0, "delta": -0.3572, "gamma": 0.0067, "vega": 0.2844, "theta": -0.0123, "rho": -0.7489, "theo": 36.462, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 36.5}, {"option": "DRAM281215C00073000", "bid": 19.0, "bid_size": 344.0, "ask": 22.0, "ask_size": 336.0, "iv": 0.809, "open_interest": 0.0, "volume": 0.0, "delta": 0.6756, "gamma": 0.0055, "vega": 0.2835, "theta": -0.0111, "rho": 0.3156, "theo": 21.0422, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.5}, {"option": "DRAM281215P00073000", "bid": 36.0, "bid_size": 100.0, "ask": 39.5, "ask_size": 2.0, "iv": 0.8459, "open_interest": 0.0, "volume": 0.0, "delta": -0.3622, "gamma": 0.0068, "vega": 0.2853, "theta": -0.0123, "rho": -0.7586, "theo": 37.2411, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 37.25}, {"option": "DRAM281215C00074000", "bid": 18.5, "bid_size": 117.0, "ask": 23.45, "ask_size": 436.0, "iv": 0.832, "open_interest": 3.0, "volume": 5.0, "delta": 0.6718, "gamma": 0.0055, "vega": 0.2848, "theta": -0.0112, "rho": 0.3151, "theo": 20.8625, "change": -0.65, "open": 20.6, "high": 20.6, "low": 20.6, "tick": "no_change", "last_trade_price": 20.6, "last_trade_time": "2026-08-03T15:05:14", "percent_change": -3.05882, "prev_day_close": 21.25}, {"option": "DRAM281215P00074000", "bid": 36.3, "bid_size": 165.0, "ask": 40.5, "ask_size": 2.0, "iv": 0.8421, "open_interest": 0.0, "volume": 0.0, "delta": -0.3666, "gamma": 0.0068, "vega": 0.2865, "theta": -0.0124, "rho": -0.7668, "theo": 37.9965, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 38.0}, {"option": "DRAM281215C00075000", "bid": 19.5, "bid_size": 275.0, "ask": 21.0, "ask_size": 5.0, "iv": 0.8129, "open_interest": 7.0, "volume": 26.0, "delta": 0.668, "gamma": 0.0055, "vega": 0.2861, "theta": -0.0113, "rho": 0.3146, "theo": 20.6855, "change": -1.15, "open": 19.59, "high": 19.97, "low": 19.59, "tick": "no_change", "last_trade_price": 19.95, "last_trade_time": "2026-08-03T12:16:29", "percent_change": -5.45024, "prev_day_close": 21.1000003814697}, {"option": "DRAM281215P00075000", "bid": 37.5, "bid_size": 139.0, "ask": 39.9, "ask_size": 153.0, "iv": 0.8252, "open_interest": 0.0, "volume": 0.0, "delta": -0.3716, "gamma": 0.0069, "vega": 0.2872, "theta": -0.0124, "rho": -0.773, "theo": 38.7827, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 39.0}, {"option": "DRAM281215C00076000", "bid": 18.5, "bid_size": 228.0, "ask": 22.0, "ask_size": 386.0, "iv": 0.8191, "open_interest": 0.0, "volume": 0.0, "delta": 0.6643, "gamma": 0.0056, "vega": 0.2874, "theta": -0.0114, "rho": 0.3142, "theo": 20.5113, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 21.0249996185303}, {"option": "DRAM281215P00076000", "bid": 37.5, "bid_size": 115.0, "ask": 42.0, "ask_size": 2.0, "iv": 0.8352, "open_interest": 0.0, "volume": 0.0, "delta": -0.376, "gamma": 0.0069, "vega": 0.2881, "theta": -0.0124, "rho": -0.779, "theo": 39.5452, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 39.5}, {"option": "DRAM281215C00077000", "bid": 18.0, "bid_size": 2.0, "ask": 23.0, "ask_size": 2.0, "iv": 0.8311, "open_interest": 0.0, "volume": 0.0, "delta": 0.6606, "gamma": 0.0056, "vega": 0.2886, "theta": -0.0115, "rho": 0.3137, "theo": 20.3397, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.7250003814697}, {"option": "DRAM281215P00077000", "bid": 38.0, "bid_size": 2.0, "ask": 43.0, "ask_size": 2.0, "iv": 0.8256, "open_interest": 0.0, "volume": 0.0, "delta": -0.3806, "gamma": 0.007, "vega": 0.2891, "theta": -0.0125, "rho": -0.7896, "theo": 40.3239, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 40.5}, {"option": "DRAM281215C00078000", "bid": 18.0, "bid_size": 130.0, "ask": 22.5, "ask_size": 131.0, "iv": 0.8309, "open_interest": 0.0, "volume": 0.0, "delta": 0.6569, "gamma": 0.0056, "vega": 0.2898, "theta": -0.0116, "rho": 0.3133, "theo": 20.1707, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.5}, {"option": "DRAM281215P00078000", "bid": 39.0, "bid_size": 58.0, "ask": 43.5, "ask_size": 63.0, "iv": 0.8331, "open_interest": 0.0, "volume": 0.0, "delta": -0.3853, "gamma": 0.007, "vega": 0.2899, "theta": -0.0125, "rho": -0.7993, "theo": 41.1067, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 41.25}, {"option": "DRAM281215C00079000", "bid": 18.0, "bid_size": 279.0, "ask": 21.15, "ask_size": 316.0, "iv": 0.8136, "open_interest": 0.0, "volume": 0.0, "delta": 0.6533, "gamma": 0.0056, "vega": 0.2909, "theta": -0.0116, "rho": 0.3128, "theo": 20.0042, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 20.0}, {"option": "DRAM281215P00079000", "bid": 39.5, "bid_size": 2.0, "ask": 44.0, "ask_size": 161.0, "iv": 0.8234, "open_interest": 0.0, "volume": 0.0, "delta": -0.3898, "gamma": 0.0071, "vega": 0.2909, "theta": -0.0126, "rho": -0.8077, "theo": 41.8904, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 42.0}, {"option": "DRAM281215C00080000", "bid": 17.5, "bid_size": 140.0, "ask": 22.0, "ask_size": 871.0, "iv": 0.8252, "open_interest": 154.0, "volume": 2.0, "delta": 0.6497, "gamma": 0.0056, "vega": 0.292, "theta": -0.0117, "rho": 0.3124, "theo": 19.8401, "change": -0.82, "open": 18.8, "high": 18.8, "low": 18.78, "tick": "down", "last_trade_price": 18.78, "last_trade_time": "2026-08-03T13:07:43", "percent_change": -4.18367, "prev_day_close": 19.5999994277954}, {"option": "DRAM281215P00080000", "bid": 41.0, "bid_size": 272.0, "ask": 45.0, "ask_size": 8.0, "iv": 0.8393, "open_interest": 1.0, "volume": 0.0, "delta": -0.3944, "gamma": 0.0071, "vega": 0.2914, "theta": -0.0126, "rho": -0.8121, "theo": 42.6782, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 41.36, "last_trade_time": "2026-07-23T09:51:13", "percent_change": 0.0, "prev_day_close": 42.5750007629394}, {"option": "DRAM281215C00081000", "bid": 17.5, "bid_size": 260.0, "ask": 20.5, "ask_size": 283.0, "iv": 0.8053, "open_interest": 10.0, "volume": 0.0, "delta": 0.6461, "gamma": 0.0056, "vega": 0.2931, "theta": -0.0118, "rho": 0.3119, "theo": 19.6784, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 18.3, "last_trade_time": "2026-07-28T09:30:01", "percent_change": 0.0, "prev_day_close": 19.1749992370605}, {"option": "DRAM281215P00081000", "bid": 41.0, "bid_size": 2.0, "ask": 46.0, "ask_size": 2.0, "iv": 0.8294, "open_interest": 0.0, "volume": 0.0, "delta": -0.3989, "gamma": 0.0072, "vega": 0.292, "theta": -0.0126, "rho": -0.8204, "theo": 43.4695, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 43.5}, {"option": "DRAM281215C00082000", "bid": 17.25, "bid_size": 387.0, "ask": 20.95, "ask_size": 342.0, "iv": 0.8142, "open_interest": 8.0, "volume": 1.0, "delta": 0.6426, "gamma": 0.0057, "vega": 0.2941, "theta": -0.0118, "rho": 0.3114, "theo": 19.519, "change": 0.1, "open": 19.3, "high": 19.3, "low": 19.3, "tick": "down", "last_trade_price": 19.3, "last_trade_time": "2026-08-03T10:53:53", "percent_change": 0.520834, "prev_day_close": 19.1999998092651}, {"option": "DRAM281215P00082000", "bid": 42.0, "bid_size": 32.0, "ask": 46.5, "ask_size": 343.0, "iv": 0.8279, "open_interest": 0.0, "volume": 0.0, "delta": -0.4033, "gamma": 0.0072, "vega": 0.2927, "theta": -0.0126, "rho": -0.8268, "theo": 44.2634, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 44.25}, {"option": "DRAM281215C00083000", "bid": 17.0, "bid_size": 136.0, "ask": 22.0, "ask_size": 165.0, "iv": 0.8331, "open_interest": 0.0, "volume": 0.0, "delta": 0.6391, "gamma": 0.0057, "vega": 0.2951, "theta": -0.0119, "rho": 0.3109, "theo": 19.3619, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 19.0}, {"option": "DRAM281215P00083000", "bid": 42.5, "bid_size": 72.0, "ask": 47.5, "ask_size": 77.0, "iv": 0.8264, "open_interest": 0.0, "volume": 0.0, "delta": -0.4078, "gamma": 0.0073, "vega": 0.2932, "theta": -0.0127, "rho": -0.8316, "theo": 45.0604, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 45.0}, {"option": "DRAM281215C00084000", "bid": 17.0, "bid_size": 388.0, "ask": 20.4, "ask_size": 333.0, "iv": 0.8114, "open_interest": 1.0, "volume": 0.0, "delta": 0.6356, "gamma": 0.0057, "vega": 0.296, "theta": -0.012, "rho": 0.3103, "theo": 19.207, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "down", "last_trade_price": 19.66, "last_trade_time": "2026-07-31T14:03:49", "percent_change": 0.0, "prev_day_close": 19.3249998092651}, {"option": "DRAM281215P00084000", "bid": 43.5, "bid_size": 2.0, "ask": 48.5, "ask_size": 2.0, "iv": 0.8332, "open_interest": 0.0, "volume": 0.0, "delta": -0.4122, "gamma": 0.0073, "vega": 0.2935, "theta": -0.0127, "rho": -0.8392, "theo": 45.8605, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 45.75}, {"option": "DRAM281215C00085000", "bid": 16.65, "bid_size": 552.0, "ask": 20.85, "ask_size": 538.0, "iv": 0.8183, "open_interest": 18.0, "volume": 10.0, "delta": 0.6321, "gamma": 0.0057, "vega": 0.297, "theta": -0.012, "rho": 0.3098, "theo": 19.0543, "change": 0.0, "open": 17.75, "high": 19.1, "low": 17.75, "tick": "up", "last_trade_price": 19.1, "last_trade_time": "2026-08-03T15:51:40", "percent_change": -1.99722e-06, "prev_day_close": 19.1000003814697}, {"option": "DRAM281215P00085000", "bid": 44.7, "bid_size": 165.0, "ask": 49.0, "ask_size": 62.0, "iv": 0.8349, "open_interest": 4.0, "volume": 0.0, "delta": -0.4166, "gamma": 0.0074, "vega": 0.294, "theta": -0.0127, "rho": -0.8438, "theo": 46.663, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 44.73, "last_trade_time": "2026-07-23T12:33:34", "percent_change": 0.0, "prev_day_close": 46.75}, {"option": "DRAM281215C00086000", "bid": 17.3, "bid_size": 233.0, "ask": 20.55, "ask_size": 389.0, "iv": 0.7985, "open_interest": 13.0, "volume": 0.0, "delta": 0.6287, "gamma": 0.0057, "vega": 0.2978, "theta": -0.0121, "rho": 0.3092, "theo": 18.9038, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 18.86, "last_trade_time": "2026-07-31T15:40:19", "percent_change": 0.0, "prev_day_close": 19.125}, {"option": "DRAM281215P00086000", "bid": 46.5, "bid_size": 67.0, "ask": 49.45, "ask_size": 194.0, "iv": 0.8458, "open_interest": 0.0, "volume": 0.0, "delta": -0.421, "gamma": 0.0074, "vega": 0.2941, "theta": -0.0127, "rho": -0.8498, "theo": 47.4688, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "no_change", "last_trade_price": 0.0, "last_trade_time": null, "percent_change": 0.0, "prev_day_close": 47.3250007629394}, {"option": "DRAM281215C00087000", "bid": 17.2, "bid_size": 370.0, "ask": 19.9, "ask_size": 658.0, "iv": 0.8218, "open_interest": 356.0, "volume": 115.0, "delta": 0.6254, "gamma": 0.0058, "vega": 0.2987, "theta": -0.0122, "rho": 0.3085, "theo": 18.7554, "change": 0.025, "open": 17.38, "high": 18.65, "low": 17.15, "tick": "up", "last_trade_price": 18.65, "last_trade_time": "2026-08-03T15:58:58", "percent_change": 0.134228, "prev_day_close": 18.625}, {"option": "DRAM281215P00087000", "bid": 46.2, "bid_size": 184.0, "ask": 50.5, "ask_size": 10.0, "iv": 0.8311, "open_interest": 7.0, "volume": 0.0, "delta": -0.4254, "gamma": 0.0074, "vega": 0.2946, "theta": -0.0127, "rho": -0.8613, "theo": 48.2774, "change": 0.0, "open": 0.0, "high": 0.0, "low": 0.0, "tick": "up", "last_trade_price": 51.0, "last_trade_time": "2026-07-29T11:01:00", "percent_change": 0.0, "prev_day_close": 47.9750003814697}], "symbol": "DRAM", "security_type": "stock", "exchange_id": 2, "current_price": 51.67, "price_change": 0.76, "price_change_percent": 1.5088, "bid": 51.62, "ask": 51.67, "bid_size": 200, "ask_size": 100, "open": 49.06, "high": 51.57, "low": 47.68, "close": 51.13, "prev_day_close": 50.37, "volume": 63842454, "iv30": 97.031, "iv30_change": -1.485, "iv30_change_percent": -1.5074, "seqno": 9301726397, "last_trade_time": "2026-08-03T15:59:59", "tick": "down"}, "symbol": "DRAM"}